October 22, 2012 - Fermilablss.fnal.gov/archive/2012/pub/fermilab-pub-12-859-ppd.pdf · bounds on the rst and second generation squarks, arising from a combination of sup- pressed

ldquoL = Rrdquo ndash U(1)R Lepton Number at the LHC

Claudia Frugiueleab Thomas Gregoirea

Piyush Kumarcd Eduardo Pontonc

aOttawa-Carleton Institute for Physics Department of Physics Carleton University

1125 Colonel By Drive Ottawa K1S 5B6 Canada

bTheoretical Physics Department Fermilab

PO Box 500 Batavia IL 60510 USA

cDepartment of Physics amp ISCAP Columbia University

538 W 120th St New York NY 10027 USA

dDepartment of PhysicsYale University New Haven CT 06520 USA

October 22 2012

Abstract

We perform a detailed study of a variety of LHC signals in supersymmetric modelswhere lepton number is promoted to an (approximate) U(1)R symmetry Such a sym-metry has interesting implications for naturalness as well as flavor- and CP-violationamong others Interestingly it makes large sneutrino vacuum expectation values phe-nomenologically viable so that a slepton doublet can play the role of the down-typeHiggs As a result (some of) the leptons and neutrinos are incorporated into thechargino and neutralino sectors This leads to characteristic decay patterns that canbe experimentally tested at the LHC The corresponding collider phenomenology islargely determined by the new approximately conserved quantum number which isitself closely tied to the presence of ldquoleptonic R-parity violationrdquo We find rather loosebounds on the first and second generation squarks arising from a combination of sup-pressed production rates together with relatively small signal efficiencies of the currentsearches Naturalness would indicate that such a framework should be discovered inthe near future perhaps through spectacular signals exhibiting the lepto-quark natureof the third generation squarks The presence of fully visible decays in addition to de-cay chains involving large missing energy (in the form of neutrinos) could give handlesto access the details of the spectrum of new particles if excesses over SM backgroundwere to be observed The scale of neutrino masses is intimately tied to the source ofU(1)R breaking thus opening a window into the R-breaking sector through neutrinophysics Further theoretical aspects of the model have been presented in the companionpaper [1]

Contents

1 Introduction 2

2 U(1)R Lepton Number General Properties 321 The Fermionic Sector 3

211 Gluinos 3212 Charginos 4213 Neutralinos 5

22 The Scalar Sector 7221 Squarks 7222 Sleptons 8223 The Higgs Sector 9

23 Summary 10

3 Sparticle Decay Modes 1031 Neutralino Decays 1032 Chargino Decays 1333 Slepton Decays 1334 Squark Decays 14

341 First and Second Generation Squarks 14342 Third Generation Squarks 16

4 1st and 2nd Generation Squark Phenomenology 1941 Squark Production 2042 ldquoSimplified Modelrdquo Philosophy 2143 Neutralino LSP Scenario 22

431 Realistic Benchmark Points 2444 Stau LSP Scenario 25

441 τminusL rarr τminusR νe and ντ rarr τminusR e+L decay modes 25

442 τminusL rarr tLbR and ντ rarr bLbR decay modes 26

5 Third Generation Squark Phenomenology 2751 Lepto-quark Signatures 2752 Other Searches 29

6 Summary and Conclusions 32

A Simplified Model Analysis 35A1 Topology (1) X0+

1 rarr Zνe 36A2 Topology (2) X0+

1 rarr hνe 37A3 Topology (3) X0+

1 rarr Wminuse+L 38

A4 Topology (4) X+minus1 rarr W+νe 38

1 Introduction

The recent discovery at the LHC of a Higgs-like signal at sim 125 GeV has put the general issueof electroweak symmetry breaking under a renewed perspective In addition the absence ofother new physics signals is rapidly constraining a number of theoretically well-motivatedscenarios One of these concerns supersymmetry which in its minimal version is beingtested already above the TeV scale In view of this it is pertinent to consider alternaterealizations that could allow our prejudices regarding eg naturalness to be consistent withthe current experimental landscape within a supersymmetric framework At the same timesuch scenarios might motivate studies for non-standard new physics signals

One such non-standard realization of supersymmetry involves the possible existence ofan approximately conserved R-symmetry at the electroweak scale [2ndash13] It is known thatone of the characteristics of such scenarios namely the Dirac character of the gauginos(in particular gluinos) can significantly soften the current exclusion bounds [14 15] Atthe same time an approximate R-symmetry which extends to the matter sector could endup playing a role akin to the GIM mechanism in the SM thereby allowing to understandthe observed flavor properties of the light (SM) particles As advocated in Ref [16] aparticularly interesting possibility is that the R-symmetry be an extension of lepton number(see also [17]) In a companion paper [1] we classify the phenomenologically viable R-symmetric models and present a number of theoretical and phenomenological aspects ofthe case in which R-symmetry is tied to the lepton number Such a realization involvesthe ldquoR-parity violating (RPV) superpotential operatorsrdquo W sup λLLEc + λprimeLQDc whereunlike in standard RPV scenarios there is a well-motivated structure for the new λ and λprime

couplings some of them being related to (essentially) known Yukawa couplings Althoughat first glance one might think that such a setup possibly with a preponderance of leptonicsignals should be rather constrained we shall establish here that this is not the case In factthe scenario is easily consistent with most of the superparticles lying below the TeV scaleOnly the Dirac gauginos are expected to be somewhat above the TeV scale which may becompletely consistent with naturalness considerations As we will see the light spectrum isparticularly simple there is no LR mixing in the scalar sector and there is only one light(Higgsino-like) neutralinochargino pair At the same time it turns out that the (electron)sneutrino vev can be sizable since it is not constrained by neutrino masses (in contrast tothat in standard RPV models) This is because the Lagrangian (approximately) respectslepton number which is here an R symmetry and the sneutrinos do not carry lepton numberSuch a sizable vev leads to a mixing of the neutralinoscharginos above with the neutrinoand charged lepton sectors (νe and eminus to be precise) which results in novel signatures anda rather rich phenomenology Although the flavor physics can in principle also be very richwe will not consider this angle here

We give a self-contained summary of all the important physics aspects that are relevantto the collider phenomenology in Section 2 This will also serve to motivate the specificspectrum that will be used as a basis for our study In Section 3 we put together all therelevant decay widths as a preliminary step for exploring the collider phenomenology InSection 4 we discuss the current constraints pertaining to the first and second generationsquarks concluding that they can be as light as 500minus700 GeV We turn our attention to thethird generation phenomenology in Section 5 where we show that naturalness considerationswould indicate that interesting signals could be imminent if this scenario is relevant to the

weak scale In Section 6 we summarize the most important points and discuss a numberof experimental handles that could allow to establish the presence of a leptonic R symmetryat the TeV scale

2 U(1)R Lepton Number General Properties

Our basic assumption is that the Lagrangian at the TeV scale is approximately U(1)R sym-metric with the scale of U(1)R symmetry breaking being negligible for the purpose of thephenomenology at colliders Therefore we will concentrate on the exact R-symmetric limitwhich means that the patterns of production and decays are controlled by a new (approx-imately) conserved quantum number We will focus on the novel case in which the R-symmetry is an extension of the SM lepton number Note that this means that the extensionof lepton number to the new (supersymmetric) sector is non-standard

21 The Fermionic Sector

As in the MSSM the new fermionic sector is naturally divided into strongly interactingfermions (gluinos) weakly interacting but electrically charged fermions (charginos) andweakly interacting neutral fermions (neutralinos) However in our framework there areimportant new ingredients and it is worth summarizing the physical field content This willalso give us the opportunity to introduce useful notation

211 Gluinos

One of the important characteristics of the setup under study is the Dirac nature of gauginosIn the case of the gluon superpartners this means that there exists a fermionic colored octet(arising from a chiral superfield) that marries the fermionic components of the SU(3)C vectorsuperfield through a Dirac mass term MD

3 gaαo

aα+hc where a is a color index in the adjointrepresentation of SU(3)C and α is a Lorentz index (in 2-component notation) Whenevernecessary we will refer to o as the octetino components and to g as the gluino componentsFor the most part we will focus directly on the 4-component fermions Ga = gaα macroaα and wewill refer to them as (Dirac) gluinos since they play a role analogous to Majorana gluinos inthe context of the MSSM However here the Majorana masses are negligible (we effectivelyset them to zero) and as a result the Dirac gluinos carry an approximately conserved (R)charge In particular R(g) = minusR(o) = 1 so that R(G) = 1 R-charge (approximate)conservation plays an important role in the collider phenomenology

The Dirac gluino pair-production cross-section is about twice as large as the Majoranagluino one due to the larger number of degrees of freedom Assuming heavy squarks andwithin a variety of simplified model scenarios both ATLAS [18ndash20] and CMS [21ndash24] haveset limits on Majorana gluinos in the 09minus 1 TeV range As computed with Prospino2 [25]in this limit of decoupled squarks the NLO Majorana gluino pair-production cross-section isσggMajorana(Mg = 1 TeV) asymp 8 fb at the 7 TeV LHC run Although for the same mass the Diracgluino production cross-section is significantly larger it also falls very fast with the gluinomass so that the above limits when interpreted in the Dirac gluino context do not changequalitatively Indeed assuming a similar K-factor in the Dirac gluino case we find a NLO

pair-production cross section of σggDirac(MD3 = 108 TeV) asymp 8 fb Nevertheless from a theo-

retical point of view the restrictions on Dirac gluinos coming from naturalness considerationsare different from those on Majorana gluinos and allow them to be significantly heavier Wewill take Mg equivMD

3 = 2 TeV to emphasize this aspect This is sufficiently heavy that directgluino pair-production will play a negligible role in this study1 At the same time suchgluinos can still affect the pair-production of squarks through gluino t-channel diagrams asdiscussed later (for the gluinos to be effectively decoupled as assumed in eg [15] they mustbe heavier than about 5 TeV)

212 Charginos

We move next to the chargino sector This includes the charged fermionic SU(2)L superpart-ners (winos) wplusmn and the charged tripletino components T+

u and Tminusd of a fermionic adjointof SU(2)L (arising from a triplet chiral superfield) It also includes the charged componentsof the Higgsinos h+

u and rminusd The use of the notation rminusd instead of hminusd indicates that unlikein the MSSM the neutral ldquoHiggsrdquo component R0

d does not acquire a vev Rather in oursetup the role of the down-type Higgs is played by the electron sneutrino νe (we will denoteits vev by ve) As a result the LH electron eminusL mixes with the above charged fermions andbecomes part of the chargino sector (as does the RH electron field ecR) Besides the gaugeinteractions an important role is played by the superpotential operator W sup λTuHuTRdwhere T is the SU(2)L triplet superfield [1]

The pattern of mixings among these fermions is dictated by the conservation of theelectric as well as the R-charges R(wplusmn) = R(ecR) = R(rminusd ) = +1 and R(T+

u ) = R(Tminusd ) =R(eminusL) = R(h+

u ) = minus1 In 2-component notation we then have that the physical charginoshave the composition

χ++i = V +

iw w+ + V +

ie ecR

χminusminusi = U+itTminusd + U+

ie eminusL

χ+minusi = V minus

itT+u + V minusiu h

χminus+i = Uminusiw w

minus + Uminusid rminusd

where i = 1 2 The notation here emphasizes the conserved electric and R-charges byindicating them as superindices eg χ+minus

i denoting the two charginos with Q = +1 andR = minus1 The Uplusmn V plusmn are 2times2 unitary matrices that diagonalize the corresponding charginomass matrices The superindex denotes the product RtimesQ while the subindices in the matrixelements should have an obvious interpretation We refer the reader to Ref [1] for furtherdetails In this work we will not consider the possibility of CP violation and therefore all thematrix elements will be taken to be real The above states are naturally arranged into four

4-component Dirac fields X++i = (χ++

i χminusminusi ) and X+minusi = (χ+minus

i χminus+i ) for i = 1 2 whose

charge conjugates will be denoted by Xminusminusi and Xminus+i In this notation e = Xminusminus1 corresponds

to the physical electron (Dirac) field

1However at 14 TeV with σggDirac(MD3 = 2 TeV) asymp 3 fb direct gluino pair-production may become

interesting The K-factor (asymp 26) is taken from the Majorana case as given by Prospino2 This productioncross-section is dominated by gluon fusion and is therefore relatively insensitive to the precise squark masses

As explained in the companion paper [1] precision measurements of the electron prop-erties place bounds on the allowed admixtures V +

1w and U+1t

that result in a lower bound on

the Dirac masses written as MD2 (w+Tminusd + wminusT+

u ) + hc This lower bound can be as low as300 GeV for an appropriate choice of the sneutrino vev However a sizably interesting rangefor the sneutrino vev requires that MD

2 be above about 1 TeV For definiteness we take inthis work MD

2 = 15 TeV which implies that 10 GeV ve 60 GeV Thus the heaviest

charginos are the X++2 asymp (w+ Tminusd ) and X+minus

2 asymp (T+u w

minus) Dirac fields which we will simplycall ldquowinosrdquo The lightest chargino is the electron e asymp (eminusL e

cR) with non-SM admixtures

below the 10minus3 level The remaining state is expected to be almost pure hu-rd with a massset by the micro-term2 Naturalness considerations suggest that this parameter should be aroundthe EW scale and we will take micro = 200minus300 GeV However it is important to note that thegaugino component of this Higgsino-like state Uminus1w although small should not be neglectedThis is the case when considering the X+minus

1 couplings to the first two generations which cou-ple to the Higgsino content only through suppressed Yukawa interactions In the left panelof Fig 2 we exhibit the mixing angles of the two lightest chargino states as a function of thesneutrino vev ve for MD

2 = 15 TeV micro = 200 GeV λSu = 0 and λTu = 1 The V -type matrixelements are shown as solid lines while the U -type matrix elements are shown as dashedlines (sometimes they overlap) In the right panel we show the chargino composition as afunction of λTu for ve = 10 GeV This illustrates that there can be accidental cancellations asseen for the wminus component of Xminus+

1 at small values of λTu For the most part we will chooseparameters that avoid such special points in order to focus on the ldquotypicalrdquo cases It isalso important to note that the quantum numbers of these two lightest chargino states (thelightest of which is the physical electron) are different This has important consequences forthe collider phenomenology as we will see

213 Neutralinos

The description of the neutralino sector bears some similarities to the chargino case discussedabove In particular and unlike in the MSSM it is natural to work in a Dirac basis Thegauge eigenstates are the hypercharge superpartner (bino) b the neutral wino w a SMsinglet s the neutral tripletino T 0 the neutral Higgsinos h0

u and r0d and finally the electron-

neutrino νe (which mixes with the remaining neutralinos when the electron sneutrino getsa vev) If there were a right-handed neutrino it would also be naturally incorporated intothe neutralino sector In principle due to the neutrino mixing angles (from the PMNSmixing matrix) the other neutrinos also enter in a non-trivial way However for the LHCphenomenology these mixings can be neglected which we shall do for simplicity in thefollowing Besides the gauge interactions and the λTu superpotential coupling introduced inthe previous subsection there is a second superpotential interaction W sup λSuSHuRd whereS is the SM singlet superfield that can sometimes be relevant [1]

2In the companion paper [1] we have denoted this micro-term as microu to emphasize that it is different fromthe ldquostandardrdquo micro-term the former is the coefficient of the HuRd superpotential operator where Rd doesnot get a vev and therefore does not contribute to fermion masses while the role of the latter in thepresent scenario is played by microprimeHuLe with Le being the electron doublet whose sneutrino component getsa non-vanishing vev While the first one is allowed by the U(1)R symmetry the second one is suppressedHowever for notational simplicity in this paper we will denote the U(1)R preserving term simply by micro sincethe ldquostandardrdquo U(1)R violating one will not enter in our discussion

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

00 02 04 06 08 10

ve = 10 GeV

Figure 1 Composition of the two lightest chargino states as a function of the sneutrino vev (left panel)and as a function of λTu (right panel) We fix MD

2 = 15 TeV micro = 200 GeV and λSu = 0 In the left panel wetake λTu = 1 and in the right panel we take ve = 10 GeV We plot the absolute magnitude of the rotationmatrix elements V plusmnik (solid lines) and Uplusmnik (dashed lines) Not plotted are V +

1w = 0 and V +1e = 1 X++

1 is the

physical (charge conjugated) electron and X+minus1 is the lightest BSM chargino state (which is Higgsino-like)

For reference we also show in the upper horizontal scale the values of tanβ = vuve

In two-component notation we have neutralino states of definite U(1)R charge

χ0+i = V N

ibb+ V N

iw w + V Nid h

0d (1)

χ0minusi = UN

is s+ UNit T

0 + UNiu h

0u + UN

iν νe (2)

where V Nik and UN

ik are the unitary matrices that diagonalize the neutralino mass matrix

(full details are given in Ref [1]) These states form Dirac fermions X0+i = (χ0+

i χ0minusi ) for

i = 1 2 3 where as explained in the previous subsection the superindices indicate theelectric and R-charges In addition there remains a massless Weyl neutralino

χ0minus4 = UN

4s s+ UN4t T

0 + UN4u h

0u + UN

4ν νe (3)

which corresponds to the physical electron-neutrino With some abuse of notation we willrefer to χ0minus

4 as ldquoνerdquo in subsequent sections where it will always denote the above masseigenstate and should cause no confusion with the original gauge eigenstate Similarly wewill refer to X0+

1 as the ldquolightest neutralinordquo with the understanding that strictly speakingit is the second lightest Nevertheless we find it more intuitive to reserve the nomencla-ture ldquoneutralinordquo for the states not yet discovered The heavier neutralinos are labeledaccordingly

Given that both the gluino and wino states are taken to be above a TeV we shall also takethe Dirac bino mass somewhat large specifically MD

1 = 1 TeV This is mostly a simplifyingassumption for instance closing squark decay channels into the ldquosecondrdquo lightest neutralino(which is bino-like) Thus the lightest (non SM-like) neutralino is Higgsino-like and is fairlydegenerate with the lightest (non SM-like) chargino X+minus

1 In Fig 2 we show the composition of the physical neutrino (χ0minus

4 ) and of the Higgsino-like neutralino state (X0+

1 ) Note that as a result of R-charge conservation the neutrinostate has no winobino components In addition its (up-type) Higgsino component is rather

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

U4 ΝN

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

U1 ΝN

Figure 2 Left panel χ0minus4 (neutrino) and right panel X0+

1 (Higgsino-like) composition for MD1 = 1 TeV

MD2 = 15 TeV micro = 200 GeV λSu = 0 and λTu = 1 as a function of the sneutrino vev We plot the absolute

magnitude of the rotation matrix elements V Nik and UNik

suppressed As a result the usual gauge or Yukawa induced interactions are very smallInstead the dominant couplings of χ0minus

4 to other states will be those inherited from theneutrino content itself The associated missing energy signals will then have a characterthat differs from the one present in mSUGRA-like scenarios However it shares similaritieswith gauge mediation where the gravitino can play a role similar to the neutrino in ourcase3 By contrast the ldquolightestrdquo neutralino X0+

1 typically has non-negligible winobinocomponents that induce couplings similar to a more standard (massive) neutralino LSPNevertheless here this state decays promptly and is more profitably thought as a neutralinoLSP in the RPV-MSSM (but with 2-body instead of 3-body decays)

22 The Scalar Sector

In this section we discuss the squark slepton and Higgs sectors emphasizing the distinctivefeatures compared to other supersymmetric scenarios

221 Squarks

Squarks have interesting non-MSSM properties in the present setup They are chargedunder the R-symmetry (R = +1 for the LH squarks and R = minus1 for the RH ones) andas a result they also carry lepton number Thus they are scalar lepto-quarks (stronglyinteracting particles carrying both baryon and lepton number) This character is given bythe superpotential RPV operator λprimeijkLiQjD

ck which induces decays such as tL rarr bRe

addition and unlike in more familiar RPV scenarios some of these couplings are not freebut directly related to Yukawa couplings λprime111 = yd λ

prime122 = ys and λprime133 = yb The full set of

constraints on the λprime couplings subject to these relations was analyzed in Ref [1] The λprime333

coupling is the least unconstrained being subject to

λprime333 (21times 10minus2)yb asymp 14 cos β (4)

3There is also a light gravitino in our scenario but its couplings are suppressed and plays no role in theLHC phenomenology

where yb = mbve tan β = vuve and we took mb(micro asymp 500 GeV) asymp 256 GeV [26] Inthis work we will assume that the only non-vanishing λprime couplings are those related to theYukawa couplings together with λprime333 We will often focus on the case that the upper limitin Eq (4) is saturated but should keep in mind that λprime333 could turn out to be smaller andwill comment on the relevant dependence when appropriate

It is also important to keep in mind that the R-symmetry forbids any LR mixing Asa result the squark eigenstates coincide with the gauge eigenstates at least if we neglectintergenerational mixing4 We will assume in this work that the first two generation squarksare relatively degenerate As we will see the current bound on their masses is about 500minus700 GeV We will also see that the third generation squarks can be lighter possibly consistentwith estimates based on naturalness from the Higgs sector

222 Sleptons

The sleptons are expected to be among the lightest sparticles in the new physics spectrumThis is due to the intimate connection of the slepton sector with EWSB together with thefact that a good degree of degeneracy between the three generation sleptons is expectedThe possible exception is the LH third generation slepton doublet if the RPV coupling λprime333

turns out to be sizable As a result due to RG running the LH stau can be several tens ofGeV lighter than the selectron and smuon while the latter should have masses within a fewGeV of each other Note that the sleptons are R-neutral hence do not carry lepton numberThis is an important distinction compared to the standard extension of lepton number tothe new physics sector

Since the electron sneutrino plays the role of the down-type Higgs naturalness requires itssoft mass to be very close to the electroweak scale To be definite we take m2

Lsim m2

Esim (200-

300 GeV)2 Depending on how this compares to the micro-term the sleptons can be heavier orlighter than the lightest neutralino X+minus

1 When X+minus1 is lighter than the sleptons we will say

that we have a ldquoneutralino LSP scenariordquo The other case we will consider is one where theLH third generation slepton doublet is lighter than X+minus

1 while the other sleptons are heavierGiven the possible mass gap of several tens of GeV between the (ντ τL) pair and the othersleptons this is a rather plausible situation We will call it the ldquostau LSP scenariordquo althoughthe τ -sneutrino is expected to be up to ten GeV lighter than the stau5 The possibility thatseveral or all the sleptons could be lighter than X+minus

1 may also deserve further study but wewill not consider such a case in this work

We also note that some of the couplings in the RPV operator λijkLiLjEck are related to

lepton Yukawa couplings λ122 = ymicro and λ133 = yτ The bounds on the remaining λijkrsquosunder these restriction have been analyzed in [1] and have been found to be stringent

4This assumptions is not necessary given the mild flavor properties of U(1)R-symmetric models [6927]This opens up the exciting prospect of observing a non-trivial flavor structure at the LHC that we leave forfuture work

5Again we remind the reader that we are using standard terminology in a non-standard setting Inparticular a rigorous separation of the SM and supersymmetric sectors is not possible due to the mixingsin the neutralino and chargino sectors Also the supersymmetric particles end up decaying into SM onessimilar to RPV-MSSM scenarios Furthermore the light gravitino could also be called the LSP as in gauge-mediation However unlike in gauge mediation here the gravitino is very rarely produced in superparticledecays hence not phenomenologically relevant at the LHC Thus we will refer to either the (ντ τL) pair orX+minus

1 as the ldquoLSPrdquo depending on which one is lighter Our usage emphasizes the allowed decay modes

We note that in principle it could be possible to produce sleptons singly at the LHCthrough the λprimeijkLiQjD

ck operator with subsequent decays into leptons via the λijkLiLjE

induced interactions We have studied this possibility in Ref [1] and found that there maybe interesting signals in the micro+microminus and e∓microplusmn channels However in this work we do notconsider such processes any further and set all λ couplings to zero with the exception ofthe Yukawa ones The tau Yukawa in particular can play an important role

223 The Higgs Sector

The ldquoHiggsrdquo sector is rather rich in our scenario The EW symmetry is broken by the vevrsquosof the neutral component of the up-type Higgs doublet H0

u and the electron sneutrinoνe which plays a role akin to the neutral down-type Higgs in the MSSM We have also ascalar SM singlet and a scalar SU(2)L triplet the superpartners of the singlino and tripletinodiscussed in the previous section These scalars also get non-vanishing expectation valuesHowever it is well known that constraints on the Peskin-Takeuchi T -parameter require thetriplet vev to be small vT 2 GeV We will also assume that the singlet vev is in the fewGeV range This means that these two scalars are relatively heavy and not directly relevantto the phenomenology discussed in this paper Note that all of these states are R-neutral

There is another doublet Rd the only state with non-trivial R-charge (= +2) It does notacquire a vev so that the R-symmetry is not spontaneously broken and therefore this statedoes not mix with the previous scalars Its (complex) neutral and charged components arerelatively degenerate with a mass splitting of order 10 GeV arising from EWSB as well asthe singlet vev For simplicity we will assume its mass to be sufficiently heavy (few hundredGeV) that it does not play a role in our discussion Nevertheless it would be interesting toobserve such a state due to its special R-charge

The upshot is that the light states in the above sector are rather similar to those in theMSSM a light CP-even Higgs a heavier CP-even Higgs a CP-odd Higgs and a chargedHiggs pair The CP-even and CP-odd states are superpositions of the real and imaginarycomponents of h0

u and the electron sneutrino (with a small admixture of the singlet andneutral triplet states) Given our choice for the slepton soft masses the heavy CP-evenCP-odd and charged Higgses are expected to be relatively degenerate with a mass in the200minus300 GeV range (the charged Higgs being slightly heavier than the neutral states) Thecharged Higgs is an admixture of H+

u and the LH selectron eL (and very suppressed chargedtripletino components) The RH selectron as well as the remaining neutral and chargedsleptons do not mix with the Higgs sector and can be cleanly mapped into the standardsleptonsneutrino terminology

The light CP-even Higgs h is special given the observation of a Higgs-like signal by boththe ATLAS [28] and CMS [29] collaborations at about 125 GeV This state can also playan important role in the decay patterns of the various super-particles Within our scenarioa mass of mh asymp 125 GeV can be obtained from radiative corrections due to the triplet andsinglet scalars even if both stops are relatively light (recall the suppression of LR mixingdue to the R-symmetry) This is an interesting distinction from the MSSM A more detailedstudy of these issue will be dealt with in a separate paper [30] Here we point out that thesearguments suggest that λSu should be somewhat small while λTu should be of order one Thismotivates our specific benchmark choice λSu = 0 and λTu = 1 (although occasionally we willallow λSu to be non-vanishing) These couplings affect the neutralinochargino composition

and are therefore relevant for the collider phenomenology

23 Summary

Let us summarize the properties of the superpartner spectrum in our scenario following fromthe considerations in the previous sections All the gauginos (ldquogluinordquo ldquowinordquo and ldquobinordquo)are relatively heavy in particular heavier than all the sfermions The first two generationsquarks can be below 1 TeV while the third generation squarks can be in the few hundredGeV range These bounds will be discussed more fully in the remaining of the paper Thesleptons being intimately connected to the Higgs sector are in the couple hundred GeVrange So are the ldquolightestrdquo neutralino and chargino states which are Higgsino-like Mixingdue to the electron sneutrino vev induces interesting couplings of the new physics statesto the electron-neutrino and the electron while new interactions related to the lepton anddown-quark Yukawa couplings give rise to non-MSSM signals The collider phenomenologyis largely governed by a new (approximately) conserved R-charge and will be seen to beextremely rich even though the spectrum of light states does not seem at first sight verycomplicated or unconventional Finally we mention that there is also an SU(3)C octet scalar(partner of the octetinos that are part of the physical gluino states) that will not be studiedhere (for studies of the octet scalar phenomenology see [3132])

3 Sparticle Decay Modes

In this section we discuss the decay modes of the superparticles relevant for the LHC colliderphenomenology We have checked that three-body decays are always negligible and thereforewe focus on the two-body decays

31 Neutralino Decays

From our discussion in the previous section the lightest (non SM-like) neutralino is aHiggsino-like state (that we call X0+

1 ) while the truly stable neutralino state is none otherthan the electron-neutrino It was also emphasized that X0+

1 has small but not always negli-gible gaugino components The other two (Dirac) neutralino states are heavy We thereforefocus here on the decay modes of X0+

1 As explained in Subsection 222 we consider two scenarios a ldquoneutralino LSP scenariordquo

where X0+1 is lighter than the LH third generation slepton doublet and a ldquostau LSP scenariordquo

with the opposite hierarchy The decay modes of the lightest neutralino depend on this choiceand we will consider them separately

Neutralino LSP Scenario

If X0+1 is lighter than the (ντ τ

minusL ) pair the possible decay modes for X0+

1 have partial decay

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

Ltan Β

10 15 20 30 40 50

1174 116 864 571 423 333

ve GeVD

tan Β

Figure 3 X0+1 branching fractions in the ldquoneutralino LSP scenariordquo for MD

1 = 1 TeV MD2 = 15 TeV and

micro = 200 GeV In the left panel we take λSu = 0 and λTu = 1 and in the right panel we take λSu = λTu = 04The former case might be favored by the observation of a Higgs-like state at mh asymp 125 GeV We also takethe Higgs mixing angles as R1u asymp 098 R1ν asymp 02 and R1s R1t 1

widths [in the notation of Eqs (1)-(3)]

Γ(X0+1 rarr Wminuse+

L) =g2mX0

128π(U+

1eUN1ν +radic

2U+1tUN

(1minus M2

)2(2 +

Γ(X0+1 rarr Zνe) =

g2mX01

512πc2W

(UN1νU

N4ν minus UN

1uUN4u)

(1minus M2

)2(2 +

Γ(X0+1 rarr hνe) =

(1minus m2

m2χ01

times (7)[(minusgV N

1wUN4u + gprimeV N

)R1u +

1wUN4ν minus gprimeV N

+radic

2(λSuU

N4s + λTuU

1dR1u +radic

2V N1dU

(λSuR1s + λTuR1t

where we denote the X0+1 mass by mX0

1 and R1i are the mixing angles characterizing the

composition of the lightest Higgs h In our scenario all the other Higgs bosons are heavierthan the lightest neutralino We note that the above expressions contain an explicit factor of1radic

2 for each occurrence of a neutralino mixing angle compared to the standard ones [33ndash35] This is because the mixing matrix elements UN

ij and V Nij are defined in a Dirac basis

whereas in the usual approach the neutralinos are intrinsically Majorana particles Recallalso that for simplicity we are assuming here that all quantities are real The generalizationof these and subsequent formulas to the complex case should be straightforward

The above decay modes can easily be dominated by the neutrino-neutralino mixing an-gles since the contributions due to the higgsino (UN

4u) and tripletino components are highlysuppressed This mixing angles in turn are controlled by the sneutrino vev Note that inthe RPV-MSSM such decay modes are typically characterized by displaced vertices due tothe extremely stringent bounds on the sneutrino vev arising from neutrino physics [36] By

contrast in our scenario the sneutrino vev is allowed to be sizable (tens of GeV) and is infact bounded from below from perturbativityEWPT arguments so that these decays areprompt

The left panel of Fig 3 shows that the decay width into hνe is the dominant one in thesmall sneutrino vev limit while in the large sneutrino vev limit the channels involving agauge boson can be sizable We also note that it is possible for the Wminuse+

L decay channelto be the dominant one as shown in the right panel of Fig 3 In this case we have chosenλSu = λTu = 04 which leads to a cancellation between the mixing angles such that Zνe issuppressed compared to Wminuse+

L For such small couplings the radiative contributions to thelightest CP-even Higgs are not large enough to account for the observed mh asymp 125 GeVwhile stops (due to the absence of LR mixing) are also not very effective for this purposeTherefore without additional physics such a situation may be disfavored We mention itsince it is tied to a striking signal which one should nevertheless keep in mind

Stau LSP Scenario

If instead the (ντ τminusL ) pair is lighter than X0+

1 the τminusL τ+L and ντ ντ channels open up with

partial decay widths given by

Γ(X0+1 rarr τminusL τ

+L ) asymp g2

1w + tan θWVN

(1minus m2

Γ(X0+1 rarr ντντ ) =

1w minus tan θWVN

(1minus m2

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

Stau LSP ScenarioW-eL

ΤΝΤ

Figure 4 X0+1 branching fractions in the ldquostau LSP

scenariordquo for MD1 = 1 TeV MD

2 = 15 TeV micro = 250 GeVλSu = 0 and λTu = 1 We also takemτL asymp mντ = 200 GeVThe Higgs mixing angles are as in Fig 3

In Eq (8) we have suppressed addi-tional terms proportional to the τ Yukawacoupling that give negligible contribu-tions compared to the ones displayed Al-though we have included the full expres-sions in the numerical analysis we chooseto not display such terms to make thephysics more transparent The only caseswhere contributions proportional to theYukawa couplings are not negligible occurwhen the top Yukawa is involved6 Wethen see that Eqs (8) and (9) are con-trolled by the gaugino components evenfor the suppressed V N

1w and V N1b

shown inFig 2 Thus these decay channels domi-nate over the ones driven by the neutrino-neutralino mixing as shown in Fig 4Here the ντ ντ channel is slightly suppressed compared to the one into the charged lep-ton and slepton due to a cancellation between the mixing angles in Eq (8) In other regionsof parameter space such a cancellation may be more or less severe

6Even the contribution from the bottom Yukawa coupling (with possible large tanβ enhancements) isnegligible given the typical mixing angles in the scenario

32 Chargino Decays

The lightest of the charginos (other than the electron) is X+minus1 It is Higgsino-like which

follows from its R = minusQ nature and the fact that the winos are heavy Note that incontrast the electron and the other charged leptons have R = Q Therefore the two-body decays of X+minus

1 can involve a charged lepton only when accompanied with an electricallyneutral |R| = 2 particle the only example of which is the R0

d scalar However this state doesnot couple directly to the leptons7 We take it to be heavier than X+minus

1 which has importantconsequences for the allowed chargino decay modes For instance in the region where τL isheavier than X+minus

1 the potentially allowed decay modes of X+minus1 are into W+νe and W+X0minus

1 where X0minus

1 denotes the antiparticle of X0+1 However the second channel is closed in most of

the parameter space since X0+1 and X+minus

1 are relatively degenerate (with a mass splitting oforder ten GeV) The dominant decay mode in this ldquoneutralino LSP scenariordquo has a partialdecay width given by

Γ(X+minus1 rarr W+νe) =

128π(V minus1uU

N4u minus

radic2V minus

4t )2mXplusmn

(1minus M2

m2Xplusmn

)2(2 +

m2Xplusmn

where we denote the mass of X+minus1 by mXplusmn

1 Therefore for sufficiently heavy sleptons the

chargino always decays into W+νeIf instead τL is lighter than X+minus

1 one can also have X+minus1 rarr τ+

L ντ with

Γ(X+minus1 rarr τ+

L ντ ) =g2

32π(Uminus1w)2mXplusmn

(1minus m2

m2Xplusmn

Typically this decay channel dominates but the W+νe can still have an order one branchingfraction

33 Slepton Decays

We focus on the decays of the (ντ τL) pair since it may very well be the ldquoLSPrdquo ie the laststep in a cascade decade to SM particles In this case the charged slepton decay modes areτminusL rarr τminusR νe and τminusL rarr tLbR with partial decay widths given by

Γ(τminusL rarr τminusR νe) =mτL

16πy2τ (12)

Γ(τminusL rarr tLbR) =mτL

16π(λprime333)2

(1minus m2

The decay widths for the SU(2)L related processes ντ rarr τminusR e+L and ντ rarr bLbR are obtained

from Eqs (12) and (13) with the replacements mτL rarr mντ and mt rarr mb In Fig 5 weshow the branching fractions as a function of the sneutrino vev assuming that λprime333 saturatesEq (4) and taking mτ = 17 GeV We see that the tLbR channel can be sizable in the largesneutrino vevsmall tan β limit in spite of the phase space suppression when mτL sim mt+mb

(left panel) Away from threshold it can easily dominate (right panel)

7Recall that the Rd SU(2) doublet does not play any role in EWSB

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

ΤLtan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

tan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

Figure 5 τL (solid lines) and ντ (dashed lines) decay modes for two masses mτL asymp mντ = 180 GeV (leftpanel) and mτL asymp mντ = 250 GeV (right panel) It is assumed that X0+

1 is heavier than the (ντ τL) pairand that λprime333 saturates Eq (4)

If on the other hand X0+1 and X+minus

1 are lighter than the LH third generation sleptonstheir dominant decay modes would be τminusL rarr X0+

1 τminusL or τ+L rarr X+minus

1 ντ for the charged leptonand ντ rarr X0+

1 ντ or ντ rarr X+minus1 τ+

L for the sneutrino

34 Squark Decays

As already explained we focus on the case where the gluinos are heavier than the squarksand therefore the squark decay mode into a gluino plus jet is kinematically closed Thelightest neutralinos and charginos are instead expected to be lighter than the squarks sincenaturalness requires the micro-term to be at the electroweak scale while we will see that the firstand second generation squarks have to be heavier than about 600 GeV Thus the squarkdecays into a quark plus the lightest neutralino or into a quark plus the lightest charginoshould be kinematically open However the decay mode of the left handed up-type squarkswhich have Q = 23 and R = 1 into the lightest chargino X+minus

1 plus a (R-neutral) jet isforbidden by the combined conservation of the electric and R-charges uL rarr X+minus

1 j Thedecay mode into the second lightest neutralino which can be of the (++) type could beallowed by the quantum numbers but our choice MD

1 gt mq ensures that it is kinematicallyclosed Note also that since uR has Q = 23 and R = minus1 one can have uR rarr X+minus

341 First and Second Generation Squarks

bull The left-handed up-type squarks uL and cL decay into X0+1 j and e+

Lj with

Γ(uL rarr X0+1 j) asymp mq

(gprimeV N

1b+ 3gV N

1minusm2X0

Γ(uL rarr e+Lj) =

16πy2d (U+

1e)2 (15)

and analogous expressions for cL (in Eq (14) we do not display subleading termsproportional to the Yukawa couplings) The second decay is an example of a lepto-

quark decay mode However taking into account the smallness of the Yukawa couplingsfor the first two generations together with the X0+

1 composition shown in Fig 2 onefinds that the dominant decay mode is the one into neutralino and a jet Thereforein the region of parameter space we are interest in uL and cL decay into X0+

1 j withalmost 100 probability

bull The down-type left-handed squarks dL and sL have the following decay channels

Γ(dL rarr X0+1 j) asymp mq

(gprimeV N

1bminus 3gV N

)2 (UN

1minusm2X0

Γ(dL rarr Xminus+1 j) asymp mq

[g2(Uminus1w)2

](1minus

m2Xplusmn

Γ(dL rarr νej) =mq

32πy2d(U

2 (18)

with analogous expressions for sL The relative minus sign in the gaugino contributionsto the neutralino decay channel is due to the SU(2) charge of the down-type squarksand should be compared to the up-type case Eq (14) This leads to a certain degreeof cancellation between the contributions from the bino and wino components whichtogether with the factor of 118 results in a significant suppression of the neutralinochannel Since the Yukawa couplings are very small it follows that the chargino channelis the dominant decay mode of the down-type squarks of the first two generations

bull The right-handed up-type squarks uR and cR decay according to

Γ(ulowastR rarr X0+1 j) asymp mq

9(gprimeV N

](1minus

Γ(uR rarr X+minus1 j) =

16π(yuV

minus1u)2

(1minus

m2Xplusmn

with analogous expressions for cR The chargino decay mode fo uR is suppressed sincethe up-type Yukawa coupling is very small Therefore the right-handed up-type squarkdecays into X0+

1 j with almost 100 probability However the charm Yukawa couplingis such that the various terms in Eqs (19) and (20) are comparable when the mixingangles are as in Figs 1 and 2 For this benchmark scenario both decay channelshappen to be comparable as illustrated in the left panel of Fig 6 Here we usedyc = mc

radicv2 minus v2

e with mc(micro asymp 600 GeV) asymp 550 MeV [26]

bull The right-handed down-type squarks dR and sR decay according to

Γ(dlowastR rarr X0+1 j) asymp mq

9(gprime V N

](1minus

Γ(dR rarr eminusLj) =mq

16πy2d (U+

1e)2 (22)

Γ(dR rarr νej) =mq

32πy2d (UN

4ν)2 (23)

10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

Figure 6 Branching fractions for cR (left panel) and sR (right panel) taking MD1 = 1 TeV MD

2 = 15 TeVmicro = 200 GeV λSu = 0 and λTu = 1

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

Figure 7 Branching fractions for the tL decay modes computed for MD1 = 1 TeV MD

2 = 15 TeVmicro = 200 GeV λSu = 0 and λTu = 1 We also assume λprime333 = (21 times 10minus2)yb In the left panel we takemtL

= 500 GeV and show the dependence on the sneutrino vev In the left panel we show the dependenceon mtL

for ve = 10 GeV (solid lines) and ve = 50 GeV (dashed lines)

with analogous expressions for sR Again for the down squark the Yukawa couplingsare negligible so that it decays dominantly into neutralino plus jet For the strangesquark however the various channels can be competitive as illustrated in the rightpanel of Fig 6 Here we used ys = msve with ms(micro asymp 600 GeV) asymp 49 MeV [26]

342 Third Generation Squarks

For the third generation we expect the lepto-quark signals to be visible in all of our parameterspace although they may be of different types The point is that the bottom Yukawa couplingcan be sizable in the small sneutrino vevlarge tan β limit (as in the MSSM) thus leadingto a signal involving first generation leptons through the λprime133 equiv yb asymp 115 times 10minus2 sec βcoupling In the large sneutrino vevsmall tan β limit on the other hand the RPV couplingλprime333 14 cos β can be of order of gprime and may lead to third generation leptons in the finalstate

bull The left-handed stop tL has the following decay modes

Γ(tL rarr X0+1 t) =

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

Γ(tL rarr τ+L bR) =

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

When kinematically allowed the decay mode into neutralino plus top is the dominantone since it is driven by the top Yukawa coupling as shown in Fig 7 However thisfigure also shows that the two lepto-quark decay modes can have sizable branchingfractions8 In particular at small sneutrino vev the electron-bottom channel is thedominant lepto-quark decay mode (since it is proportional to the bottom Yukawa)while in the large vev limit the third generation lepto-quark channel dominates [wehave assumed that λprime333 saturates the upper bound in Eq (4)] The existence of lepto-quark channels with a sizable (but somewhat smaller than one) branching fractionis a distinctive feature of our model as will be discussed in more detail in the fol-lowing section We also note that in the case that λprime333 is negligible and does notsaturate the bound in Eq (4) the tL rarr τ+

L bR channel is no longer present so that theBR(tL rarr e+

LbR) and BR(tL rarr X0+1 t) increase in the large sneutrino vev limit (but are

qualitatively the same as the left panel of Fig 7)

bull The left-handed sbottom bL has several decay modes as follows

Γ(bL rarr X0+1 b) asymp

(gprimeV N

1bminus 3gV N

1minusm2X0

Γ(bL rarr Xminus+1 t) =

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

Γ(bL rarr νebR) =mbL

32πy2b (UN

4ν)2 (30)

Γ(bL rarr ντbR) =mbL

16π(λprime333)2 (31)

When kinematically open the dominant decay mode is into a chargino plus top since

8Here we used yt = mtradicv2 minus v2e and yb = mbve with mt(micro asymp 500 GeV) asymp 157 GeV and mb(micro asymp

500 GeV) asymp 256 GeV [26]

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L reg HΝe + ΝΤLbR

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

Figure 8 Branching fractions for bL computed for MD1 = 1 TeV MD

2 = 15 TeV micro = 200 GeV λSu = 0and λTu = 1 We also take λprime333 = (21times 10minus2)yb and add together the two neutrino channels (νe and ντ )In the left panel we take mbL

= 500 GeV and show the dependence on the sneutrino vev In the left panelwe show the dependence on mbL

it is controlled by the top Yukawa coupling The decays into neutrino plus bottomhave always a sizable branching fraction as can be seen in Fig 8 However one shouldnote that when λprime333 is negligible so that the bL rarr ντbR channel is unavailable thedecay involving a neutrino (νe only) decreases as the sneutrino vev increases (being oforder 03 at ve = 50 GeV) The other two channels adjust accordingly but do notchange qualitatively

bull For the right-handed stop tR the decay widths are

Γ(tlowastR rarr X0+1 tL) =

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

Γ(tR rarr X+minus1 bR) =

minus1u

(1minus

For the benchmark choice of MD2 = 15 TeV MD

1 = 1 TeV micro = 200 GeV λSu = 0 andλTu = 1 we have Γ(tlowastR rarr X0+

1 tL) = 26 (15) and Γ(tR rarr X+minus1 bR) = 74 (85) for

mtR= 500 (400) GeV independently of the sneutrino vev For mtR

lt mX01

+ mt the

RH stop decays into X+minus1 bR essentially 100 of the time See left panel of Fig 9

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

R reg HΝe + ΝΤLbL

Figure 9 Branching fractions for tR as a function of mtR(left panel) and for bR as a function of ve (right

panel) computed for MD1 = 1 TeV MD

2 = 15 TeV micro = 200 GeV λSu = 0 and λTu = 1 For bR we takeλprime333 = (21times 10minus2)yb assume mbR

mX01mt and add together the two neutrino channels (νe and ντ )

bull The right-handed sbottom bR has a variety of decay modes

Γ(blowastR rarr X0+1 bR) asymp

(gprimeV N

1minusm2X0

Γ(bR rarr eminusL tL) =mbR

16πy2b (U+

(1minus m2

Γ(bR rarr νebL) =mbR

32πy2b (UN

4ν)2 (36)

Γ(bR rarr τminusL tL) =mbR

16π(λprime333)2

(1minus m2

Γ(bR rarr ντbL) =mbR

16π(λprime333)2 (38)

The lepto-quark signals are the dominant ones Adding the two neutrino channels thedecay mode into νb has a branching fraction of about 50 as shown in the right panelof Fig 9 The charged lepton signals can involve a LH electron or a τ plus a top quarkNote also that the decay mode into X0+

1 b is very suppressed We finally comment onthe modifications when λprime333 is negligible Once the bR rarr τminusL tL and bR rarr ντbL channelsbecome unavailable one has that BR(bR rarr eminusL tL) asymp 06 and BR(bR rarr νebL) asymp 04independent of the sneutrino vev The blowastR rarr X0+

1 bR channel remains negligible

4 1st and 2nd Generation Squark Phenomenology

In the present section we discuss the LHC phenomenology of the first and second generationsquarks which are expected to be the most copiously produced new physics particles Al-though these squarks are not required by naturalness to be light flavor considerations may

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

Dirac GluinoMajorana Gluino

500 600 700 800 900 1000 1100 1200000

mq GeVD

Figure 10 Left Panel qqlowast production cross-section (all flavor combinations) for the 7 TeV LHC runcomputed for 2 TeV Dirac (red) and Majorana (blue) gluinos In the right panel we plot the ratio betweenthe two cross sections showing that the suppression in the Dirac case can be significant

suggest that they should not be much heavier than the third generation squarks Thereforeit is interesting to understand how light these particles could be in our scenario As we willsee current bounds allow them to be as light as 500 minus 700 GeV while in the MSSM theLHC bounds have already exceeded the 1 TeV threshold The bounds can arise from genericjets + ET searches as well as from searches involving leptons in the final state

41 Squark Production

We compute the cross section to produce a given final state X in our model as follows

σ(pprarr X) =sumi

σ(pprarr i)times BR(irarr X) (39)

where i = q1q2 gq gg and the squark pair production can in principle come in several flavorand chirality combinations We generate the production cross section for each independenti-th state with MadGraph5 [37] Here we note that due to the assumption of gluinosin the multi-TeV range and the fact that we will be interested in squarks below 1 TeVour cross section is dominated by the production of squark pairs We have also computedthe corresponding K-factor with Prospino2 [25] as a function of the squark mass for fixed(Majorana) gluino masses of 2minus 5 TeV We find that for squark masses below about 1 TeVthe K-factor is approximately constant with K asymp 16 Since to our knowledge a NLOcomputation in the Dirac case is not available we will use the previous K-factor to obtain areasonable estimate of the Dirac NLO squark pair-production cross-section

One should note that the Dirac nature of the gluinos results in a significant suppressionof certain t-channel mediated gluino diagrams compared to the Majorana (MSSM) caseas already emphasized in [14 15] (see also Fig 10) Nevertheless at Mg = 2 TeV suchcontributions are not always negligible and should be included For instance we find thatfor degenerate squark with mq = 800 GeV the production of uLuR uLdR and uRdL iscomparable to the ldquodiagonalrdquo production of qLq

lowastL and qRq

lowastR for all the squark flavors q =

u d s c taken together As indicated in Eq (39) we include separately the BR for each i-thstate to produce the final state X since these can depend on the squark flavor chirality orgeneration

42 ldquoSimplified Modelrdquo Philosophy

We have seen that uL uR dR and cL decay dominantly through the neutralino channel theLH down-type squarks dL and sL decay dominantly through the chargino channel and cRand sR can have more complicated decay patterns (see Fig 6) The striking lepto-quark decaymode sR rarr eminusLj will be treated separately In this section we focus on the decays involvingneutralinos and charginos Since the signals depend on how the neutralinochargino decaysit is useful to present first an analysis based on the simplified model (SMS) philosophy Tobe more precise we set bounds assuming that the neutralinoscharginos produced in squarkdecays have a single decay mode with BR = 1 We also separate the ldquoneutralino LSPscenariordquo in which X0+

1 X+minus1 decay into SM particles from the ldquostau LSP scenariordquo where

they decay into τminusL τ+L ντ ντ or τ+

L ντ We will give further details on these subsequent decaysbelow where we treat the two cases separately

400 500 600 700 800 900 1000

mq GeVD

LHC 7 TeVSMS cross-sectionsvia squark production

ΣHX 10+

ΣHX 1+-

ΣHX 10+

Figure 11 Cross-sections for the separate productionof X0+

1 X0minus1 X+minus

1 Xminus+1 and X0+1 X+minus

1 trough squark pair-production in the SMS approach (see main text) The solidand dotted lines correspond to σ1 according to the caseThe dashed line marked as σ2 corresponds to the full pair-production of squarks irrespective of how they decay Thecross-sections are computed for Mg = 2 TeV for a 7 TeVLHC run with a K-factor K = 16

Here we emphasize that we regardthe jets plus X0+

1 X+minus1 stage as part of

the production The point is that an im-portant characteristic of our scenario isthat different types of squarks produceoverwhelmingly only one of these twostates For instance if we are interestedin two charginos in the squark cascadedecays this means that they must havebeen produced through LH down-typesquarks (with a smaller contributionfrom cRc

lowastR production) and the produc-

tion of any of the other squarks wouldnot be relevant to this topology Con-versely if we are interested in a topol-ogy with two neutralinos the LH down-type squarks do not contribute We de-note by σ1 the corresponding cross sec-tions computed via Eq (39) with X =ldquoX+minus

1 Xminus+1 jjrdquo or X = ldquoX0+

1 X0minus1 jjrdquo

taking the BRrsquos as exactly zero or oneaccording to the type of squark pair i9

At the same time since in other realiza-tions of the R-symmetry these produc-tion patterns may not be as clear-cutwe will also quote bounds based on a second production cross section denoted by σ2 whereit is assumed that all the squarks decay either into the lightest neutralino or chargino chan-nels with unit probability This second treatment is closer to the pure SMS philosophybut could be misleading in the case that lepton number is an R-symmetry We show thecorresponding cross-sections in Fig 11

9The only exception is the RH charm squark cR for which we take BR(clowastR rarr X0+1 j) = BR(cR rarr

X+minus1 j) = 05 although the characteristics of the signal are not very sensitive to this choice We also neglect

the decays of sR into neutralinoneutrino plus jet

It should also be noted that the great majority of simplified models studied by ATLASand CMS consider either mq = Mg or mq Mg Therefore at the moment there are only ahandful of dedicated studies of our topologies although we will adapt studies performed forother scenarios to our case In the most constraining cases we will estimate the acceptance bysimulating the signal in our scenario10 and applying the experimental cuts but for the mostpart a proper mapping of the kinematic variables should suffice (provided the topologiesare sufficiently similar) A typical SMS analysis yields colored-coded plots for the upperbound on σ times BR (or A times ε) for the given process in the plane of the produced (strongly-interacting) particle mass (call it mq) and the LSP mass (call it mLSP) In most cases theLSP is assumed to carry ET Often there is one intermediate particle in the decay chain Itsmass is parametrized in terms of a variable x defined by mintermediate = xmq + (1minus x)mLSPIn our ldquoneutralino LSP scenariordquo the intermediate particle is either the lightest neutralinoX0+

1 or the lightest chargino X+minus1 whose masses are set by the micro-term Since the particle

carrying the ET is the neutrino ie mLSP = 0 we have x asymp micromqWe will set our bounds as follows we compute our theoretical cross section as described

above (ie based on the σ1 or σ2 production cross-sections) as a function of the squarkmass and considering the appropriate decay channel for the X0+

1 X+minus1 (with BR = 1 in

the SMS approach) Provided the topology is sufficiently similar we identify the x-axis onthe color-coded plots in the experimental analyses (usually mg) with mq take mLSP = 0(for the neutrino) and identify ldquoxrdquo as micromq (from our discussion above) Then we increasethe squark mass until the theoretical cross-section matches the experimental upper bounddefining a lower bound on mq In a few cases that have the potential of setting strongbounds but where the experimentally analyzed topologies do not exactly match the one inour model we obtain the signal εtimesA from our own simulation and use the 95 CL upperbound on σ times ε times A to obtain an upper bound on σ that can be compared to our modelcross-section If there are several signal regions we use the most constraining one

43 Neutralino LSP Scenario

In the neutralino LSP scenario and depending on the region of parameter space (eg thesneutrino vev or the values of the λS and λT couplings) the lightest neutralino X0+

1 candominantly decay into Zνe hνe or Wminuse+

L The ldquolightestrdquo chargino X+minus1 always decays

into W+νe Following the philosophy explained in the previous subsection we set separatebounds on four simplified model scenarios

(1) q rarr X0+1 j rarr (Zνe) j

(2) q rarr X0+1 j rarr (hνe) j

(3) q rarr X0+1 j rarr (WminuseminusL) j

(4) q rarr X+minus1 j rarr (W+νe) j

as well as on two benchmark scenarios (to be discussed in Subsection 431) that illustratethe bounds on the full model

There are several existing searches that can potentially constrain the model

10We have implemented the full model in FeynRules [38] which was then used to generate MadGraph 5code [37] The parton level processes are then passed through Pythia for hadronization and showering andthrough Delphes [39] for fast detector simulation

Topologyσ1-bound σ2-bound

Search Referencemq [GeV] mq [GeV]

q rarr X0+1 j rarr (Zνe) j

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

q rarr X0+1 j rarr (hνe) j 605 655 jets + ET ATLAS [19]

q rarr X0+1 j rarr (WminuseminusL) j 580 630 Multilepton ATLAS [41]

q rarr X+minus1 j rarr (W+νe) j

530 650 jets + ET ATLAS [19]

410 500 Multilepton ATLAS [42]

350 430 l + jets + ET ATLAS [43]

Benchmark 1 590minus 650 mdash jets + ET ATLAS [19]

Table 1 Bounds on 1st and 2nd generation squark masses from squark pair production in the ldquoneutralinoLSP scenariordquo for the Simplified Models (1)ndash(4) and two benchmark scenarios See text for further details

bull jets + ET

bull 1 lepton + jets + ET

bull Z(ll) + jets + ET

bull OS dileptons + ET + jets

bull multilepton + jets + ET (with or without Z veto)

We postpone the detailed description of how we obtain the corresponding bounds tothe appendix and comment here only on the results and salient features We find thattypically the most constraining searches are the generic jets + ET searches in particular themost recent ATLAS search with 58 fbminus1 [19] In addition some of the simplified topologiescan also be constrained by searches involving leptons + jets + ET For example thoseinvolving a leptonically decaying Z are important for the X0+

1 rarr Zνe case while a numberof multi-lepton searches can be relevant for the topologies that involve a W We summarizeour findings in Table 1 where we exhibit the searches that have some sensitivity for thegiven SMS topology We show the lower bounds on the squark masses based on both theσ1 and σ2 production cross-sections as described in Subsection 42 We see that these arebelow 650 GeV (based on σ1 the bound from σ2 is provided only for possible applicationto other models) We also show the bounds for two benchmark scenarios (which dependon the sneutrino vev) as will be discussed in the next subsection These are shown underthe σ1 column but should be understood to include the details of the branching fractionsand various contributing processes We have obtained the above results by implementingthe experimental analysis and computing the relevant ε times A from our own simulation ofthe signal and using the model-independent 95 CL upper bounds on σ times ε times A providedby the experimental analysis Whenever possible we have also checked against similarsimplified model interpretations provided by the experimental collaborations Such detailsare described in the appendix where we also discuss other searches that turn out to notbe sensitive enough and the reasons for such an outcome In many cases it should bepossible to optimize the set of cuts (within the existing strategies) to attain some sensitivity

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

Neutralino LSP Scenariomq = 700 GeV

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

Figure 12 Cross-sections for a variety of signatures in the ldquoneutralino LSP scenariordquo All are computedfor MD

1 = 1 TeV MD2 = 15 TeV micro = 200 GeV and assuming that λprime333 saturates Eq (4) In the left panel

we take mq = 700 GeV and λSu = 0 λTu = 1 (benchmark 1) while in the right panel we use mq = 550 GeVand λSu = λTu = 04 (benchmark 2)

This might be interesting for example in the cases involving a Higgs given that one mightattempt to reconstruct the Higgs mass

We turn next to the analysis of the full model in the context of two benchmark scenarios

431 Realistic Benchmark Points

Besides the ldquosimplified modelrdquo type of bounds discussed above it is also interesting topresent the bounds within benchmark scenarios that reflect the expected branching fractionsfor the neutralinoscharginos discussed in Subsections 31 and 32 One difference with theanalysis of the previous subsections is that we can have all the combinations of X0+

1 X0minus1 jj

X+minus1 Xminus+

1 jj and X0+1 X+minus

1 jj in squark decays with the corresponding BRrsquos In Fig 11 wehave shown the individual cross-sections in the SMS approach These give a sense of therelative contributions of the various channels In particular we see that the X0+

1 X0minus1 channel

dominates

Benchmark 1 (MD1 = 1 TeV MD

2 = 15 TeV micro = 200 GeV λSu = 0 λTu = 1) correspondsto the case that the X0+

1 rarr hνe decay channel is important (in fact dominant at smallsneutrino vev) while the gauge decay channels of the X0+

1 can be sizable (see left panel ofFig 3) The LHC searches relevant to this scenario are

bull jets + ET

bull dileptons (from Z decay) + jets + ET

bull multilepton + jets + ET (without Z cut)

We apply the model-independent bounds discussed in the previous sections and findthat the jets + ET search is the most constraining one Using σj+ET 20 minus 40 fb we findmq amp 620minus690 GeV (mq amp 590minus650 GeV) for ve = 10 GeV (ve = 50 GeV) We show in theleft panel of Fig 12 the cross-sections for several processes for mq = 700 GeV These arecomputed from Eq (39) using the actual BRrsquos for the chosen benchmark Although there issome dependence on the sneutrino vev the global picture is robust against ve

2 = 15 TeV micro = 200 GeV λSu = λTu = 04) correspondsto the case that the X0+

1 rarr Wminuse+ decay channel dominates (see right panel of Fig 3)In the right panel of Fig 12 we show the cross-sections for the main processes We seethat for this benchmark the ldquoleptonic channelsrdquo have the largest cross sections (especiallythe multilepton + jets + ET one) However taking into account efficiencies of at most afew percent for the leptonic searches (as we have illustrated in the previous section) weconclude that the strongest bound on the squark masses arises instead from the jets + ET

searches (as for benchmark 1) Using σj+ET 20 minus 40 fb we find mq amp 520 minus 580 GeV(mq amp 500 minus 560 GeV) for ve = 10 GeV (ve = 50 GeV) Note that there is a sizable ldquonomissing energyrdquo cross section However this could be significantly lower once appropriatetrigger requirements are imposed

44 Stau LSP Scenario

In this scenario the dominant decay modes of X0+1 are into τminusL τ

+L or ντ ντ (about 50-50)

while the chargino X+minus1 decays into τ+

L ντ The decay modes of τminusL depend on the sneutrinovev for large ve it decays dominantly into tLbR (assuming λprime333 is sizable) while for smallervalues of ve it decays dominantly into τminusR νe trough the τ Yukawa coupling Similarly ντdecays into bLbR for large sneutrino vev and into τminusR e

+L for small sneutrino vev In the ldquostau

LSP scenariordquo we prefer to discuss the two limiting cases of small and large sneutrino vevrather than present SMS bounds (recall from Fig 11 that the squarks produce dominantlyX0+

1 X0minus1 pairs) This scenario is therefore characterized by third generation signals

441 τminusL rarr τminusR νe and ντ rarr τminusR e+L decay modes

These decays are characteristic of the small sneutrino vev limit In this case all the finalstates would contain at least two taus i) for the X0+

1 X0minus1 topology the final state contains

2 jets missing energy and 2τ + 2e 3τ + 1e or 4τ rsquos ii) for the X0+1 X+minus

1 topology the finalstate contains 2 jets missing energy and 2τ + 1e or 3τ rsquos iii) for the Xminus+

1 X+minus1 topology the

final state contains 2 jets missing energy and 2τ rsquos It is important that cases i) and ii) canbe accompanied by one or two electrons given that many searches for topologies involvingτ rsquos 11 impose a lepton (e or micro) veto

Thus for instance a recent ATLAS study [44] with 47 fbminus1 searches for jets + ET

accompanied by exactly one (hadronically decaying) τ + one lepton (e or micro) or by twoτ rsquos with a lepton veto Only the former would apply to our scenario setting a bound ofσ times ε times A = 068 fbminus1 A previous ATLAS search [45] with 205 fbminus1 searches for at least2τ rsquos (with a lepton veto) setting a bound of σ times ε times A = 29 fbminus1 However the efficiencyof such searches is lower than the one for jets plus missing energy (also with lepton veto)

11Understood as hadronic τ rsquos

Since in our scenario the cross sections for these two signatures is the same the latter willset the relevant current bound

There is also a CMS study [46] sensitive to 4τ signals in the context of GMSB scenarioswhich has a similar topology to our case (SMS gg production with g rarr qqχ0

1 and χ01 rarr

τ+τminusGmicro) From their Fig 9b we can see that the 95 CL upper limit on the model crosssection varies between 03minus 003 pb for 400 GeV lt mg lt 700 GeV Including the branchingfractions and reinterpreting the bound in the squark mass plane12 we find a bound ofmq amp 600 GeV at ve = 10 where the cross section is about 45 fb When the sneutrino vevincreases the bound gets relaxed so that for ve amp 20 GeV there is no bound from this study

The generic searches discussed in previous sections (not necessarily designed for sensitiv-ity to the third generation) may also be relevant

bull jets + ET

bull jets + ET + 1 lepton

bull jets + ET + SS dileptons

bull jets + ET + OS dileptons

bull jets + ET + multi leptons

where the leptons may arise from the ντ decay as in cases i) and ii) above or from leptonicallydecaying τ rsquos13 It turns out that as in the ldquoneutralino LSP scenariordquo the strongest boundarises from the jets + ET search We find from simulation of the signal efficiency timesacceptance for the ATLAS analysis [19] in our model that the most stringent bound arisesfrom signal region C (tight) and gives an upper bound on the model cross section of about120 fb Thus we find that mq amp 500 GeV for ve = 10 GeV

442 τminusL rarr tLbR and ντ rarr bLbR decay modes

When the third generation sleptons decay through these channels as is typical of the largesneutrino vev limit the signals contain a bb andor a tt pair as well as τ rsquos Note that whenthe τ rsquos and tops decay hadronically one has a signal without missing energy However thebranching fraction for such a process is of order BR(q rarr X0+

1 j)2 times BR(X0+1 rarr τminusL τ

+L )2 times

BR(τminusL rarr tLbR)2 times BR(trarr bW+)2 times BR(W rarr jj)2 times BR(τ rarr jj)2 sim few per cent (in thelarge sneutrino vev limit where all of these branching fractions are sizable) Indeed we findthat the ldquono ETrdquo cross section for 700 GeV squarks in the ldquostau LSP scenariordquo is of order1 fb which is relatively small Rather the bulk of the cross section shows in the jets +

ET and 1 lepton + jets + ET channels (with a smaller 2 lepton + jets + ET contribution)Simulation of the ATLAS j+ET search [19] in this region of our model indicates that againthe most stringent bound arises from signal region C (tight) of this study and gives anupper bound on the model cross section of about 70 fb This translates into a bound ofmq amp 550 GeV for ve = 50 GeV

12As usual the topology of this study contains two additional hard jets at the parton level compared toour case

13Note that when there are two taus and no additional electrons the SS dilepton searches do not applyThis is a consequence of the conserved R-symmetry

5 Third Generation Squark Phenomenology

We turn now to the LHC phenomenology of the third generation squarks We start bystudying the current constraints and then we will explain how the third generation providesa possible smoking gun for our model We separate our discussion into the signals arisingfrom the lepto-quark decay channels and those that arise from the decays of the thirdgeneration squarks into states containing X0+

1 or X+minus1 (or their antiparticles)

51 Lepto-quark Signatures

Due to the identification of lepton number as an R-symmetry there exist lepto-quark (LQ)decays proceeding through the LQDc couplings These can be especially significant forthe third generation squarks As discussed in Subsection 342 in our scenario we expecttL rarr e+

LbR tL rarr τ+L bR bL rarr (νe + ντ )bR bR rarr (νe + ντ )bL bR rarr eminusL tL and bR rarr τminusL tL It

may be feasible to use the channels involving a top quark in the final state [47] but suchsearches have not yet been performed by the LHC collaborations Thus we focus on theexisting eejj [48 49] ννbb [50] and ττbb [51] searches where in our case the jets are reallyb-jets14 The first and third searches have been performed with close to 5 fbminus1 by CMS whilethe second has been done with 18 fbminus1 In the left panel of Fig 13 we show the boundsfrom these searches on the LQ mass as a function of the branching fraction of the LQ intothe given channel The bounds are based on the NLO strong pair-production cross-sectionWe see that the most sensitive is the one involving electrons while the one involving missingenergy is the least sensitive This is in part due to the lower luminosity but also because inthe latter case the search strategy is different since one cannot reconstruct the LQ mass

In the right panel of Fig 13 we show the corresponding branching fractions in our scenarioas a function of the sneutrino vev assuming mLQ = 400 GeV (which as we will see turnsout to be the mass scale of interest) We have fixed MD

2 = 15 TeV and MD1 = 1 TeV

and scanned over micro isin [minus300 300] GeV and λSu λTu isin [0 1] which is reflected in the width of

the bands of different colors We assume that λprime333 saturates Eq (4) The BRrsquos are ratherinsensitive to λSu and λTu but depend strongly on micro especially when |micro| amp 200 GeV Thereason is that for larger micro the neutralinos and charginos become too heavy the correspondingchannels close and the LQ channels can dominate This affects the decays of tL and bL butnot those of bR as can be understood by inspecting Figs 7 8 and the right panel of Fig 915

The darker areas correspond to the region |micro| isin [0 200] while the lighter ones correspondto |micro| isin [200 300] We can draw a couple of general conclusions

1 The ννbb branching fractions are below the sensitivity of the present search exceptwhen the neutralinochargino channels are suppressed or closed for kinematic reasonsEven in such cases the lower bound on mbL

is at most 350 GeV Note that bR isunconstrained

14It would be interesting to perform the eejj search imposing a b-tag requirement that would be sensitiveto our specific signature

15Note in particular that the neutralino decay channel of bR is always suppressed so that its branchingfractions are insensitive to micro unlike the cases of tL and bL This is why the ldquobR rarr (νe + ντ )bL bandrdquo inFig 13 appears essentially as a line the corresponding BR being almost independent of micro

100050020 030015 070200

BRHLQL

Based on CMS LQ searches

eejj H495 fb-1LΤΤbb H48 fb-1L

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Figure 13 Left panel current bounds on lepto-quark masses from three channels eejj (blue) ττbb (red)and ννbb (green) as a function of the lepto-quark branching fraction into the corresponding channel (based onthe CMS analyses [49ndash51]) Right panel Branching fractions into lepto-quark channels for mLQ = 400 GeVas a function of the sneutrino vev for MD

1 = 1 TeV MD2 = 15 TeV and scanning over λSu λ

Tu isin [0 1]

and |micro| isin [0 200] GeV (darker areas) or |micro| isin [200 300] GeV (lighter areas) We do not show the channelsinvolving a top quark

2 The ττbb search which is sensitive to BRrsquos above 03 could set some bounds at largeve in some regions of parameter space Such bounds could be as large as 520 GeV butthere is a large region of parameter space that remains unconstrained

3 The eejj search which is sensitive to BRrsquos above 015 could set some bounds at smallve in some regions of parameter space Such bounds could be as large as 815 GeV ifve sim 10 GeV and the neutralinochargino channels are kinematically closed Howeverin the more typical region with micro 200 GeV the bounds reach only up to 550 GeVin the small ve region Nevertheless there is a large region of parameter space thatremains completely unconstrained

The latter two cases are particularly interesting since the signals arise from the (LH)stop which can be expected to be light based on naturalness considerations In addition tothe lessons from the above plots we also give the bounds for our benchmark scenario withMD

1 = 1 TeV MD2 = 15 TeV micro = 200 GeV λSu = 0 and λTu = 1 assuming again that Eq (4)

is saturated We find that the ννbb search requires mbLamp 350 GeV and gives no bound on

mbR The ττbb search gives a bound on mtL

that varies from 380 to 400 GeV as ve varies from20minus 50 GeV The eejj search gives a bound on mtL

that varies from 470 down to 300 GeVas ve varies from 10minus 30 GeV The other regions in ve remain unconstrained at present Inour benchmark when mbL

sim 350 GeV we expect mtLsim 380minus 390 GeV depending on the

scalar singlet and (small) triplet Higgs vevs (and with only a mild dependence on ve) Weconclude that in the benchmark scenario a 400 GeV LH stop is consistent with LQ searches

while offering the prospect of a LQ signal in the near future possibly in more than onechannel

Comment on LQ signals from 2nd generation squarks

We have seen that the RH strange squark has a sizable branching fraction into the LQchannel sR rarr eminusLj of order 04minus 065 From the left panel of Fig 13 we see that the eejjCMS lepto-quark search gives a bound of ms asymp 530minus630 GeV which is quite comparable to(but somewhat weaker than) the bounds obtained in Section 4 Thus a LQ signal associatedto the RH strange squark is also an exciting prospect within our scenario

52 Other Searches

There are a number of searches specifically optimized for third generation squarks In addi-tion there are somewhat more generic studies with b-tagged jets (with or without leptons)that can have sensitivity to our signals We discuss these in turn

Direct stop searches In the case of the top squark different strategies are used to sup-press the tt background depending on the stop mass However the searches are tailored tospecific assumptions that are not necessarily satisfied in our framework

bull Perhaps the most directly applicable search to our scenario is an ATLAS GMSBsearch [52] (t1t

lowast1 pair production with t1 rarr tχ0

1 or t1 rarr bχ+1 and finally χ0

1 rarr ZGor χ+

1 rarr W+G) so that the topologies are identical to those for LH and RH stoppair-production in our model respectively with the replacement of the light gravitinoby νe (although the various branching fractions are different see Figs 7 and 9 for ourbenchmark scenario) Ref [52] focuses on the decays involving a Z setting bounds ofσtimes εtimesA = 182 (97) fb for their signal region SR1 (SR2) Simulation of our signal forour benchmark parameters and taking 400 GeV LH stops gives ε times A asymp 19 (17)for SR1 (SR2) which include all the relevant branching fractions The correspondingbound on the model cross section would then be σtL tL asymp 1 (06) pb However a cross-section of 06 pb is only attained for stops as light as 300 GeV and in this case theefficiency of the search is significantly smaller as the phase space for the tL rarr X0+

1 tdecay closes (recall that due to the LEP bound on the chargino and the Higgsino-likenature of our neutralino the mass of X0+

1 must be larger than about 100 GeV) Weconclude that this search is not sufficiently sensitive to constrain the LH stop massAlso the requirement that the topology contain a Z gauge boson makes this searchvery inefficient for the RH stop topology tR rarr X+minus

1 bR X+minus1 rarr W+νe so that no

useful bound can be derived on mtR

bull There is a search targeted for stops lighter than the top (t rarr bχ+1 followed by χ+

1 rarrW+χ0

1) This is exactly the topology for tR production in our scenario (with mLSP = 0for the neutrino) but does not apply to tL since its decays are dominated by lepto-quark modes in this mass region Fig 4c in [53] shows that for a chargino mass of106 GeV stop masses between 120 and 164 GeV are excluded As the chargino massis increased the search sensitivity decreases but obtaining the stop mass limits wouldrequire detailed simulation in order to compare to their upper bound σ times ε times A =52minus 11 fb

bull There are also searches for stop pair production with t rarr tχ01 A search where both

tops decay leptonically [54] would yield the same final state as for tRtlowastR production in

our case (bbW+Wminus+ET with the W rsquos decaying leptonically) However the kinematicsis somewhat different than the one assumed in [54] which can impact the details of thediscrimination against the tt background which is based on a MT2 analysis Indeedwe find from simulation that the MT2 variable in our case tends to be rather smalland εtimes A for this analysis is below 01 (including the branching ratios) Thereforethis search does not set a bound on the RH stop in our scenario

There is a second search focusing on fully hadronic top decays [55] that can be seento apply for tLt

lowastL production with tL rarr tX0+

1 followed by X0+1 rarr νeZh For instance

when both Z gauge bosons decay invisibly the topology becomes identical to the oneconsidered in the above analysis (where tL rarr t + ET ) Also when both Zrsquos decayhadronically one has a jet + ET final state In fact although the analysis attempts toreconstruct both tops the required 3-jet invariant mass window is fairly broad We findfrom simulation that when BR(X0+

1 rarr Zνe) = 1 the εtimesA of our signal is very similarto that in the simplified model considered in [55] However when BR(X0+

1 rarr hνe) = 1we find that εtimesA is significantly smaller Due to the sneutrino vev dependence of thesebranching fractions in our model we find (for benchmark 1 ) that this search can excludemtL

in a narrow window around 400 GeV for a large sneutrino vev (ve sim 50 GeV)

For lower stop masses the search is limited by phase space in the decay tL rarr tX0+1

while at larger masses the sensitivity is limited by the available BR(X0+1 rarr Zνe) (see

Fig 3) At small sneutrino vev no bound on mtLcan be derived from this search

due to the suppressed branching fraction of the Z-channel We also find that the RHstop mass can be excluded in a narrow window around 380 GeV from the decay chaintR rarr X+minus

1 bR followed by X+minus1 rarr W+νe Although there are no tops in this topology

it is possible for the 3-jet invariant mass requirement to be satisfied and therefore abound can be set in certain regions of parameter space

There is a third search that allows for one hadronic and one leptonic top decay [56]We find that it is sensitive to the LH stop in a narrow window around mtL

sim 380 GeV(for benchmark 1 ) However we are not able to set a bound on mtR

from this search

We conclude that the present dedicated searches for top squarks are somewhat inefficientin the context of our model but could be sensitive to certain regions of parameter spaceThe most robust bounds on LH stops arise rather from the lepto-quark searches discussed inthe previous section However since the latter do not constrain the RH stop it is interestingto notice that there exist relatively mild bounds (below the top mass) for tR as discussedabove and perhaps sensitivity to masses around 400 GeV

Direct sbottom searches Ref [57] sets a limit on the sbottom mass of about 420 GeVbased on bblowast pair production followed by brarr tχminus1 and χminus1 rarr Wminusχ0

1 (for mχ01

= 50 GeV and

assuming BRrsquos = 1) This is essentially our topology when bL rarr tXminus+1 and Xminus+

1 rarr WminusνeWhen kinematically open these channels indeed have BR close to one so that the previousmass bound would approximately apply (the masslessness of the neutrino should not make animportant difference) However BR(bL rarr tXminus+

1 ) can be suppressed near threshold as seenin Fig 8 For instance if BR(bL rarr tXminus+

1 ) = 05 the mass bound becomes mbLamp 340 GeV

The RH sbottom in our model does not have a normal chargino channel (but rather a decay

Signature σ times εtimes A [fb] L [fbminus1] Reference

ge 1b + ge 4 jets + 1 lepton + ET 85minus 222 205 ATLAS [59]

ge 2b + jets + ET 43minus 61 205 ATLAS [59]

Table 2 Generic searches for events with b tagged jets

involving an electron or tau which falls in the lepto-quark category) so this study does notdirectly constrain mbR

100 150 200 250 3000

Μ GeVD

1st amp 2nd Generation

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

Figure 14 Summary of exclusions for the ldquoneutralino LSPscenariordquo with MD

1 = 1 TeV MD2 = 15 TeV λSu = 0 and

λTu = 1 as a function of micro (approximately the X0+1 X+minus

mass) The exclusion on first and second generation squarkscomes from jets +ET searches The bound on bL come fromdirect b bχ0χ0 SUSY searches which are somewhat strongerthan the corresponding lepto-quark searches [dashed linemarked bL(LQ)] This implies indirectly a bound on tLabout 30-50 GeV larger (We do not show the bound ofmbR

asymp 470 GeV which is independent of micro) We also indi-

cate by dashed lines the tL lepto-quark searches in the mostconstraining cases small tanβ (ττbb search) and large tanβ(eejj search) However these can be completely evaded forother values of tanβ

CMS has recently updated their αT -based search for sbottom pair produc-tion decaying via b rarr b + ET [58]For mLSP = 0 and BR(b rarr b + ET ) =1 they set an impressive bound ofmb amp 550 GeV Taking into accountthe branching fraction for the bL rarr(νe + ντ )bR decay mode in our modelwe find a lower bound that ranges frommminbLasymp 330 GeV to mmin

bLasymp 490 GeV

as micro (asymp mX01) ranges from 100 GeV

to 300 GeV (for our benchmark valuesof the other model parameters) Thecorresponding lower bound on the RHsbottom mass is mmin

bRasymp 470 GeV in-

dependent of micro Here we have assumedthat λprime333 saturates the bound in Eq (4)as we have been doing throughout Ifthis coupling is instead negligible thusclosing the ντ channel we find thatmminbLasymp 290 GeV to mmin

bLasymp 490 GeV

as micro ranges from 100 GeV to 300 GeVwhile mmin

bRasymp 430 GeV again indepen-

dent of micro We note that the bound onmbL

sets indirectly within our modela bound on the LH stop since the lat-ter is always heavier than bL (recall thatthe LR mixing is negligible due to theapproximate R-symmetry) TypicallymtLminusmbL

sim 30minus 50 GeV

Generic searches sensitive to third generation squarks In Table 2 we summarize a num-ber of generic searches with b-tagging and with or without leptons We see that the boundson σtimes εtimesA range from a few fb to several tens of fb We find that our model cross sectionfor these signatures (from pair production of 400 GeV tL tR bL or bR) are in the same

ballpark although without taking into account efficiencies and acceptance Thus we regardthese searches as potentially very interesting but we defer a more detailed study of theirreach in our framework to the future

We summarize the above results in Fig 14 where we also show the bounds on the firsttwo generation squarks (Section 4) as well as the lepto-quark bounds discussed in Section 51(shown as dashed lines) The blue region labeled ldquobL(SUSY search)rdquo refers to the searchvia two b-tagged jets plus ET which has more power than the LQ search that focuses on thesame final state The region labeled ldquotL(model)rdquo refers to the bound on tL inferred from theSUSY search on bL We do not show the less sensitive searches nor the bound on bR whichis independent of micro and about 470 GeV in our benchmark scenario

6 Summary and Conclusions

We end by summarizing our results and emphasizing the most important features of theframework We also discuss the variety of signals that can be present in our model Althoughsome of the individual signatures may arise in other scenarios taken as a whole one mayregard these as a test of the leptonic R-symmetry The model we have studied departsfrom ldquobread and butterrdquo SUSY scenarios (based on the MSSM) in several respects therebyillustrating that most of the superpartners could very well lie below the 1 TeV threshold inspite of the current ldquocommon lorerdquo that the squark masses have been pushed above it

There are two main theoretical aspects to the scenario a) the presence of an approximateU(1)R symmetry at the TeV scale and b) the identification of lepton number as the R-symmetry (which implies a ldquonon-standardrdquo extension of lepton number to the new physicssector) The first item implies in particular that all BSM fermions are Dirac particles Aremarkable phenomenological consequence is manifested via the Dirac nature of gluinos asan important suppression of the total production cross section of the strongly interactingBSM particles (when the gluino is somewhat heavy) This was already pointed out in Ref [15]in the context of a simplified model analysis We have seen here that the main conclusionremains valid when specific model branching fractions are included and even when the gluinois not super-heavy (we have taken as benchmark a gluino mass of 2 TeV) We find that

bull The bounds on the first two generation squarks (assumed degenerate) can be as lowas 500minus 700 GeV depending on whether a slepton (eg τL) is lighter than the lightestneutralino [X0+

1 in our notation see comments after Eq (3)] There are two importantingredients to this conclusion The first one is the above-mentioned suppression ofthe strong production cross section Equally important however is the fact that theefficiencies of the current analyses deteriorate significantly for lower squark masses Forexample the requirements on missing energy and meff (a measure of the overall energyinvolved in the event) were tightened in the most recent jets + ET analyses (sim 5 fbminus1)compared to those of earlier analyses with 1 fbminus1 As a result signal efficiencies oforder one (for 14 TeV squarks and 2 TeV gluinos in the MSSM) can easily get dilutedto a few percent (as we have found in the analysis of our model with 700 GeV squarksand 2 TeV gluinos) This illustrates that the desire to probe the largest squark massscales can be unduly influenced by our prejudices regarding the expected productioncross sections We would encourage the experimental collaborations to not overlook

the possibility that lighter new physics in experimentally accessible channels might bepresent with reduced production cross sections Models with Dirac gluinos could offera convenient SUSY benchmark for optimization of the experimental analyses It maybe that a dedicated analysis would strengthen the bounds we have found or perhapsresult in interesting surprises

It is important to keep in mind that the previous phenomenological conclusions relymainly on the Dirac nature of gluinos which may be present to sufficient approximation evenif the other gauginos are not Dirac or if the model does not enjoy a full U(1)R symmetryNevertheless the presence of the U(1)R symmetry has further consequences of phenomeno-logical interest eg a significant softening of the bounds from flavor physics or EDMrsquos [6](the latter of which could have important consequences for electroweak baryogenesis [1261])In addition the specific realization emphasized here where the R-symmetry coincides withlepton number in the SM sector has the very interesting consequence that

bull A sizable sneutrino vev of order tens of GeV is easily consistent with neutrino massconstraints (as argued in [16] [1] see also Ref [13] for a detailed study of the neutrinosector) The point is simply that lepton number violation is tied to U(1)R violationwhose order parameter can be identified with the gravitino mass When the gravitino islight neutrino Majorana masses can be naturally suppressed (if there are RH neutrinosthe associated Dirac neutrino masses can be naturally suppressed by small Yukawacouplings) We have also seen that there are interesting consequences for the colliderphenomenology Indeed the specifics of our LHC signatures are closely tied to the non-vanishing sneutrino vev (in particular the neutralino decays X0+

1 rarr ZνehνeWminuse+

L or the chargino decay X+minus

1 rarr W+νe)

This should be contrasted against possible sneutrino vevs in other scenarios such asthose involving bilinear R-parity violation which are subject to stringent constraints fromthe neutrino sector Note also that the prompt nature of the above-mentioned decays maydiscriminate against scenarios with similar decay modes arising from a very small sneutrinovev (thus being consistent with neutrino mass bounds in the absence of a leptonic U(1)Rsymmetry) In addition the decays involving a W gauge boson would indicate that thesneutrino acquiring the vev is LH as opposed to a possible vev of a RH sneutrino (seeeg [62] for such a possibility)

A further remarkable feature ndashexplained in more detail in the companion paper [1]ndash is thatin the presence of lepto-quark signals the connection to neutrino physics can be an importantingredient in making the argument that an approximate U(1)R symmetry is indeed presentat the TeV scale In short

bull If lepto-quark signals were to be seen at the LHC (these arise from the LQDc ldquoRPVrdquooperator) it would be natural to associate them to third generation squarks (within aSUSY interpretation and given the expected masses from naturalness considerations)In such a case one may use this as an indication that some of the λprimei33 couplings arenot extremely suppressed The neutrino mass scale then implies a suppression of LRmixing in the LQ sector From here RG arguments allow us to conclude that the threeMajorana masses several A-terms and the micro-term linking the Higgs doublets thatgive mass to the up- and down-type fermions (see footnote 2) are similarly suppressed

relative to the overall scale of superpartners given by MSUSY which is the hallmark of aU(1)R symmetry Therefore the connection to neutrino masses via a LQ signal providesstrong support for an approximate U(1)R symmetry in the full TeV scale Lagrangianand that this symmetry is tied to lepton number which goes far beyond the Diracnature of gluinos In particular it also implies a Dirac structure in the fermionicelectroweak sector which would be hard to test directly in many cases Indeed inthe benchmark we consider the lightest electroweak fermion states are Higgsino-likeand hence have a Dirac nature anyway while the gaugino like states are rather heavyand hence difficult to access What we have shown is that the connection to neutrinomasses can provide a powerful probe of the Dirac structure even in such a case

The (approximately) conserved R-charge together with electric charge conservation canimpose interesting selection rules (eg allowing 2-body decays of the LH squarks includingtL into a state involving an electron but not involving the next lightest chargino X+minus

1 ) Ofcourse eventually the approximate R-symmetry should become evident in the decay patternsof the BSM physics The above lepto-quark signals and perhaps signals from resonant singleslepton production [1] that may be present in more general RPV scenarios can be amongstthe first new physics signals discovered at the LHC Although by themselves these mayadmit interpretations outside the present framework the ldquoL = Rrdquo model has a variety ofsignals that provide additional handles Some of them are summarized below

The presence of fully visible decay modes in addition to those involving neutrinos maygive an important handle in the reconstruction of SUSY events An example is displayedin the left diagram of Fig 15 where one of the squarks decays via q rarr jX0minus followed byX0minus rarr eminusLW

+ (with a hadronic W ) while the other squark gives off missing energy in theform of neutrino(s) which can help in increasing the signal to background ratio Althoughthe combinatorics might be challenging there are in principle sufficient kinematic constraintsto fully reconstruct the event

Perhaps more striking would be the observation of the lepto-quark decay mode of theRH strange squark as discussed at the end of Section 51 The pure LQ event (eejj) wouldallow a clean measurement of msR which could then be used in the full reconstruction ofldquomixedrdquo events involving missing energy such as displayed in the right diagram of Fig 15Furthermore if the gluinos are not too heavy associated production of different flavor squarks(one being sR) through gluino t-channel exchange may allow an interesting measurement ofthe second squark mass Both of these would offer discriminatory power between scenarioswith relatively light squarks (sim 700 GeV as allowed by the R-symmetry) versus scenarioswith heavier squarks (eg amp 1 TeV with ultra-heavy gluinos as might happen within theMSSM) by providing information on the scale associated with a putative excess in say thejets + ET channel

An important possible feature of the present scenario is the presence of final states withlarge third-generation multiplicities We have seen how in the ldquostau LSP scenariordquo squarkpair production can result in final states with multiple τ rsquos often accompanied by one ormore leptons (e or micro) Although these may not be the discovery modes due to a reducedefficiency compared to more standard squark searches they remain as an extremely inter-esting channel to test the present scenario Similarly processes such as qqlowast rarr jjX0+

1 X0minus1 rarr

jjτ+L τminusL τ

+L τminusL rarr jjτ+

L τminusL bRbRtLtL display all the heavy third generation fermions in the final

state and it would be extremely interesting to conduct dedicated searches for this kind of

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Figure 15 Examples of processes with one fully visible decay chain (thus allowing for mass reconstructions)while containing a significant amount of missing energy from the second decay chain (that can help fortriggering and discrimination against backgrounds) The arrows indicate the flow of L = R number

topology Another extremely interesting lsquono missing energyrdquo topology arises in the ldquoneu-tralino LSP scenariordquo qqlowast rarr jjX0+

1 X0minus1 rarr jje+

LeminusLW

+Wminus In the lepto-quark sectorsignals such as bRb

lowastR rarr e+

LeminusL tLtLτ

+L τminusL tLtL have not been looked for experimentally but

have been claimed to be feasible in Ref [47] Needless to say experimentalists are stronglyencouraged to test such topologies given the expected importance of the third generation inconnection to the physics of electroweak symmetry breaking

Finally it is important to note that there may be alternate realizations of an approximateU(1)R symmetry at the TeV scale For example in the realization in which the R-symmetryis identified with baryon number [63 64] the ldquoLSPrdquo decays predominantly to jets givingrise to events with very little missing energy and hence evading most of the current LHCbounds So these models may hide the SUSY signals under SM backgrounds A remarkablefeature of the realization studied in this paper is that fairly ldquovisiblerdquo new physics could stillbe present just were naturalness arguments could have indicated It is certainly essential totest such (and possibly other) realizations if we are to address one of the most importantquestions associated to the weak scale whether and to what extent EWSB is consistent withnaturalness concepts as understood within the well-tested effective field theory framework

Acknowledgments

CF and TG are supported in part by the Natural Sciences and Engineering ResearchCouncil of Canada (NSERC) EP is supported by the DOE grant DE-FG02-92ER40699PK has been supported by the DOE grant DE-FG02-92ER40699 and the DOE grant DE-FG02-92ER40704 during the course of this work

A Simplified Model Analysis

In this appendix we provide details of the interpretation of a number of ATLAS and CMSanalysis within the simplified models defined for the ldquoneutralino LSP scenariordquo in Subsec-tion 43

A1 Topology (1) X0+1 rarr Zνe

The LHC searches relevant for this topology are

bull jets + ET

bull multilepton (ge 3l) + jets + ET (without Z veto)

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

ΣSMS HmΧ = 100 GeVL

Figure 16 Production cross-sections of X0+1 X0minus

via squark decays for 2 TeV gluinos (see Subsec-tion 42 for the definition of σ1 and σ2 where σ1

is the relevant one in our scenario) For referencewe show the MSSM total strong production cross-section (squarks and gluinos) The dashed lines arethe SMS upper limit from the CMS searches for thechannel Z(ll)+jets+ET assuming mχ = 100 GeVand mχ = 300 GeV [23]

We start with the dilepton Z(ll) +jets + ET channel basing our discus-sion on a CMS analysis with 498 fbminus1

(gg production with g rarr qqχ and χrarrZ LSP 16) [2440] Bounds are given forx = 14 12 and 34 Identifying mq

with the ldquogluino massrdquo taking mLSP =0 and adjusting the squark mass un-til the experimental upper bound on σis matched by our theoretical cross sec-tion we find for x = 12 σ1(mq asymp585 GeV) asymp 007 pb and σ2(mq asymp650 GeV) asymp 006 pb What this meansis that this topologyanalysis gives alower bound of mq asymp 585 GeV whenX0+

1 is produced as in our scenario andof mq asymp 650 GeV in a scenario where allthe squarks decay into neutralino plusjet followed by the decay X0+

1 rarr Zνewith BR = 1 (σ1 and σ2 are computedas explained in Subsection 42) For alighter X0+

1 (x = 14) the correspond-ing bounds are mq asymp 360 GeV and440 GeV respectively All of these canbe read also from Fig 16

As a check and to evaluate the effectof the additional two jets in the topol-ogy considered in [40] compared to thesquark pair-production of our case we have obtained the εtimesA from simulation of our signal(qq production with q rarr qX0+

1 and X0+1 rarr Zνe taking mX0 = 200 GeV) in the various

signal regions of the CMS analysis17 We find that the strongest bound arises from theldquoMET Searchrdquo with ET gt 300 GeV (with ε times A asymp 15 including the branching fractionsof the Z) and corresponds to a model cross-section of about 40 fb This translates into the

16Note that this topology is not identical to ours having two extra jets17We have also simulated the case of gg production with g rarr qqχ and χ rarr Z LSP taking 900 GeV

gluinos heavy (5 TeV) squarks a massless LSP and x = 12 ie mχ = 450 GeV We reproduce the εtimes Ain [40] within 30

Search σ times εtimes A [fb] L [fbminus1] Reference

1 lepton11minus 17 58 ATLAS [43]

1minus 2 47 ATLAS [42]

2 OS leptons 1minus 5 498 CMS [65]

2 SS leptons 16 205 ATLAS [66]

Z(l+lminus) 06minus 8 498 CMS [40]

Multilepton15 (no Z) 35 (Z) 206 ATLAS [41]

Table 3 Upper limits on σ times εtimes A for a number of leptonic channels with the corresponding luminosityand the ATLAS or CMS reference

bounds mq amp 640 GeV (based on σ1) and mq amp 690 GeV (based on σ2) which are somewhatstronger than above

For the jets + ET signal we use an ATLAS search with 58 fbminus1 [19] which includes fivedifferent signals regions depending on the jet multiplicity In order to apply this analysiswe estimate the efficiency times acceptance in our model in the different signal regionsby simulating our signal (X0+

1 X0minus1 jj production via the processes defining σ1 followed by

X0+1 rarr Zνe with BR = 1) and then applying the cuts in [19] Our topology and our model in

general is distinguished by long cascade decays and we find that the strongest bound arisesfrom signal region D (tight) ie a 5 jet region setting a bound on the signal cross-sectionof about 20 fb We find a lower limit of mq sim 635 GeV (based on σ1) and mq sim 685 GeV(based on σ2) We conclude that the bounds from this analysis are very comparable tothose from the Z(ll) + jets + ET channel We note that CMS has a MT2-based SimplifiedModel analysis of the jets + ET signature with 473 fbminus1 [21] (SMS gg production withg rarr qq + LSP) Applying the procedure detailed at the end of Subsection 42 we find thatσ1(mq asymp 350 GeV)timesBR(Z rarr jj)2 asymp 09 pb and σ2(mq asymp 440 GeV)timesBR(Z rarr jj)2 asymp 04 pbThe fact that these limits are much weaker than those obtained from the ATLAS study maybe related in part to the additional hard jets that differentiate the gluino from the squarkpair production topology

There are no SMS limits on multilepton searches applicable to our topologies but thereare a number of model-independent upper bounds on σ times εtimes A as summarized in Table 3However putting in the BR(Z rarr l+lminus) and taking into account the general lessons from thecomputed efficiencies for ldquoTopologies (3) and (4)rdquo below we conclude that such searches areless sensitive than the previous two searches

A2 Topology (2) X0+1 rarr hνe

For this topology we use the ATLAS jets + ET search [19] since the Higgs decays mostlyinto hadrons This topology is characterized by a high jet multiplicity as was the case withthe hadronic Z of the previous topology The efficiency times acceptance is the same as inthe case studied above (with a Z instead of h) so that the bound on the model cross section

is about 20 fb We find a lower limit of mq sim 605 GeV (based on σ1) and mq sim 655 GeV(based on σ2)

Note that since the Higgs decays predominantly into bb searches with b tagged jetsare interesting for this topology In a search for final states with ET and at least threeb-jets (and no leptons) ATLAS sets a bound on the corresponding visible cross section ofabout 2 fb [60] However simulating our signal (for 700 GeV squarks) in MG5 + Pythia +Delphes we find an extremely small efficiency for the present topology ε times A asymp 10minus4 fortheir signal regions SR4-L and SR4-M (and much smaller efficiencies for the other SRrsquos)This arises from the aggressiveness of the ET requirement and the combined efficiency oftagging three b-jets As a result we infer a very mild bound on the model cross section ofabout 18 pb and no meaningful bound on the squark masses as such a cross section can bereached only for squarks as light as a couple hundred GeV where the εtimes A would be evensmaller Nevertheless it would be interesting to optimize such an analysis for the presentmodel (with suppressed production cross sections) and furthermore to try to reconstruct bbresonances at about 125 GeV

The leptonic searches are not constraining due to the significant suppression from theHiggs branching fraction into final states that might involve leptons

A3 Topology (3) X0+1 rarr Wminuse+

In this case the two relevant searches are jets + two leptons without ET and multileptons+ jets + ET The first signal has a branching fraction of BR(W rarr jj)2 asymp 045 However atthe moment there are no searches that constrain this topology since these typically includeimportant cuts on the missing transverse energy It would be interesting to perform adedicated search for this signal Here we focus on the existing multilepton searches CMShas a detailed analysis including a large number of channels [67] Unfortunately the resultsare model-dependent and no information on σ times ε times A for the different signal regions isprovided ATLAS has a ge 4 leptons (+ jets + ET ) search with and without Z veto [41]Their upper limit (with a Z veto) is σ times ε times A asymp 15 fb 18 We find from simulation of oursignal that for this analysis εtimesA asymp 002 (which includes the branching fractions of the Wdecays) We can therefore set a limit of mq amp 580 GeV (based on σ1) and mq amp 630 GeV(based on σ2) corresponding to a model cross section of about 75 fb

A4 Topology (4) X+minus1 rarr W+νe

In this case the relevant LHC searches are

bull jets + ET

bull OS dileptons + jets + ET

18This corresponds to combining a number of channels with different flavor composition not all of whichare present in our model Thus this result provides only an estimate for the possible bound in our modelfrom such a multi-lepton search

We can use again the ATLAS bound on jets + ET discussed above In this case howeverthe efficiency times acceptance turns out to be smaller19 The strongest constraint arisesagain from signal region D (tight) in [19] and gives an upper bound on our model crosssection of about 60 fb This translates into mq amp 530 GeV (based on σ1) and mq amp 650 GeV(based on σ2)

In a multi-lepton study the ATLAS collaboration has considered our simplified model(model C in [42]) except that all the squarks are assumed to decay with unit branchingfraction through the chargino channel (ie the process characterized by σ2) If we assumethe same efficiency times acceptance for the process in our scenario ie based on σ1 we readfrom their Fig 10 the bounds mq amp 410 GeV (based on σ1) and mq amp 500 GeV (based onσ2) which correspond to model cross sections of about 035 pb

ATLAS also has a search for exactly 1 lepton + ge 4 jets + ET setting a bound onσ times ε times A asymp 11 minus 17 fb depending on whether the lepton is an electron or a muon [43]Simulation of the above process (qq production with q rarr qX+minus

1 followed by X+minus1 rarr W+νe

taking mXplusmn = 200 GeV) gives that the ATLAS analysis has εtimesA asymp 10minus3 (this includes thebranching fractions for the W decays) We see that the efficiency is quite low This is duein part to the fact that the analysis requires at least four jets with pT gt 80 GeV While thetwo jets from squark decays easily pass the pT cut the other two jets arise from a W decayand are softer (the other W decaying leptonically) But when the quarks are sufficientlyboosted to pass the pT cut they also tend to be collimated and are likely to be merged intoa single jet As a result using an upper bound on the model cross section of order 1 pb weget a rather mild bound of mq amp 350 GeV (based on σ1) and mq amp 430 GeV (based on σ2)

For the OS dilepton signal CMS sets a bound of σtimes εtimesA 1minus 5 fb with 498 fbminus1 [65]Our simulation gives ε times A sim 10minus3 (including the W BRrsquos) resulting again in an upperbound on the model cross section of about 1 pb and the same mild bounds as above

CMS studies a simplified model (gg production with g1 rarr qqχ0 and g2 rarr qqχplusmn) with498 fbminus1 [23] where the neutralino χ0 is the LSP while χplusmn decays into Wplusmnχ0 Therefore asin our scenario a single lepton is produced via W decay although there are two extra hardjets compared to our case from the gluino versus squark production From Fig 8 of [23] withmLSP = 0 we find that our cross section in the range 300 GeV lt mq lt 800 GeV is morethan an order of magnitude below the current sensitivity Here we used our σ1 including thebranching for exactly one of the Wrsquos to decay leptonically

Finally our model has very suppressed SS dilepton signals due to the Dirac nature ofthe gluino20 so that no interesting bounds arise from this search In conclusion for thissimplified topology the strongest bounds again arise from the generic jets + ET searchesalthough it should be possible to optimize the leptonic searches to our signal topologies toobtain additional interesting bounds

19From simulation via MG5 + Pythia + Delphes of X+minus1 Xminus+1 jj via the processes in the definition of σ1

(see Subsection 42)20Two SS positrons can be obtained through uLuR production consistent with the Dirac nature of gluinos

but the SS dilepton cross section is small at the 02 fb level for 700 GeV squarks in the ldquoneutralino LSPrdquoscenario In the ldquostau LSPrdquo scenario the SS dilepton + jets + ET signal can reach 1minus 2 fb

References

[1] C Frugiuele T Gregoire P Kumar and E Ponton ldquorsquoL=Rrsquo - U(1)R as the Origin ofLeptonic rsquoRPVrsquordquo arXiv12100541 [hep-ph]

[2] L Hall and L Randall NuclPhys B352 (1991) 289ndash308

[3] A E Nelson N Rius V Sanz and M Unsal JHEP 0208 (2002) 039arXivhep-ph0206102 [hep-ph]

[4] P J Fox A E Nelson and N Weiner JHEP 0208 (2002) 035arXivhep-ph0206096 [hep-ph]

[5] Z Chacko P J Fox and H Murayama NuclPhys B706 (2005) 53ndash70arXivhep-ph0406142 [hep-ph]

[6] G D Kribs E Poppitz and N Weiner PhysRev D78 (2008) 055010arXiv07122039 [hep-ph]

[7] K Benakli and M Goodsell NuclPhys B816 (2009) 185ndash203 arXiv08114409[hep-ph]

[8] S Choi M Drees A Freitas and P Zerwas PhysRev D78 (2008) 095007arXiv08082410 [hep-ph]

[9] G D Kribs T Okui and T S Roy PhysRev D82 (2010) 115010 arXiv10081798[hep-ph]

[10] S Abel and M Goodsell JHEP 1106 (2011) 064 arXiv11020014 [hep-th]

[11] R Davies J March-Russell and M McCullough JHEP 1104 (2011) 108arXiv11031647 [hep-ph]

[12] P Kumar and E Ponton JHEP 1111 (2011) 037 arXiv11071719 [hep-ph]

[13] E Bertuzzo and C Frugiuele JHEP 1205 (2012) 100 arXiv12035340 [hep-ph]

[14] M Heikinheimo M Kellerstein and V Sanz JHEP 1204 (2012) 043arXiv11114322 [hep-ph]

[15] G D Kribs and A Martin arXiv12034821 [hep-ph]

[16] C Frugiuele and T Gregoire PhysRev D85 (2012) 015016 arXiv11074634[hep-ph]

[17] T Gherghetta and A Pomarol PhysRev D67 (2003) 085018arXivhep-ph0302001 [hep-ph]

[18] ATLAS Collaboration Collaboration H Okawa and f t A CollaborationarXiv11100282 [hep-ex]

[19] ATLAS Collaboration Collaboration G Aad et al JHEP 1207 (2012) 167arXiv12061760 [hep-ex]

[20] ATLAS Collaboration Collaboration G Aad et al ATLAS-CONF-2012-033

[21] CMS Collaboration Collaboration S Chatrchyan et al arXiv12071798[hep-ex]

[23] CMS Collaboration Collaboration S Chatrchyan et al CMS-PAS-SUS-11-016

[24] CMS Collaboration Collaboration Talk by Christopher Rogan on Interpretations ofCMS SUSY analyses in simplified model space (SMS)rdquo at ICHEP-2012

[25] W Beenakker R Hopker and M Spira arXivhep-ph9611232 [hep-ph]

[26] Z-z Xing H Zhang and S Zhou PhysRev D77 (2008) 113016 arXiv07121419[hep-ph]

[27] R Fok and G D Kribs PhysRev D82 (2010) 035010 arXiv10040556 [hep-ph]

[28] ATLAS Collaboration Collaboration G Aad et al PhysLett B716 (2012) 1ndash29arXiv12077214 [hep-ex]

[29] CMS Collaboration Collaboration S Chatrchyan et al PhysLett B716 (2012)30ndash61 arXiv12077235 [hep-ex]

[30] E Bertuzzo C Frugiuele T Gregoire P Kumar and E Ponton ldquoTo appearrdquo

[31] T Plehn and T M Tait JPhys G36 (2009) 075001 arXiv08103919 [hep-ph]

[32] S Choi J Kalinowski J Kim and E Popenda Acta PhysPolon B40 (2009)2913ndash2922 arXiv09111951 [hep-ph]

[33] E A Baltz and P Gondolo PhysRev D57 (1998) 2969ndash2973arXivhep-ph9709445 [hep-ph]

[34] A Djouadi and Y Mambrini PhysRev D63 (2001) 115005 arXivhep-ph0011364[hep-ph]

[35] A Djouadi Y Mambrini and M Muhlleitner EurPhysJ C20 (2001) 563ndash584arXivhep-ph0104115 [hep-ph]

[36] T Banks Y Grossman E Nardi and Y Nir PhysRev D52 (1995) 5319ndash5325arXivhep-ph9505248 [hep-ph]

[37] J Alwall M Herquet F Maltoni O Mattelaer and T Stelzer JHEP 1106 (2011)128 arXiv11060522 [hep-ph]

[38] N D Christensen and C Duhr ComputPhysCommun 180 (2009) 1614ndash1641arXiv08064194 [hep-ph]

[39] S Ovyn X Rouby and V Lemaitre ldquoDELPHES a framework for fast simulation ofa generic collider experimentrdquo arXiv09032225 [hep-ph]

[40] CMS Collaboration Collaboration S Chatrchyan et al Phys Lett B 716 (2012)260 arXiv12043774 [hep-ex]

[42] ATLAS Collaboration Collaboration G Aad et al arXiv12084688 [hep-ex]

[45] ATLAS Collaboration Collaboration G Aad et al PhysLett B714 (2012)180ndash196 arXiv12036580 [hep-ex]

[47] B Gripaios A Papaefstathiou K Sakurai and B Webber JHEP 1101 (2011) 156arXiv10103962 [hep-ph]

[50] CMS Collaboration Collaboration S Chatrchyan et al CMS-PAS-EXO-11-003

[58] CMS Collaboration CollaborationhttpstwikicernchtwikibinviewCMSPublicSUSYSMSSummaryPlots

[59] ATLAS Collaboration Collaboration G Aad et al PhysRev D85 (2012) 112006arXiv12036193 [hep-ex]

[61] R Fok G D Kribs A Martin and Y Tsai arXiv12082784 [hep-ph]

[62] P Fileviez Perez and S Spinner JHEP 1204 (2012) 118 arXiv12015923 [hep-ph]

[63] C Brust A Katz S Lawrence and R Sundrum JHEP 1203 (2012) 103arXiv11106670 [hep-ph]

[64] C Brust A Katz and R Sundrum JHEP 1208 (2012) 059 arXiv12062353[hep-ph]

[66] ATLAS Collaboration Collaboration G Aad et al PhysRevLett 108 (2012)241802 arXiv12035763 [hep-ex]

[67] CMS Collaboration Collaboration S Chatrchyan et al JHEP 1206 (2012) 169arXiv12045341 [hep-ex]

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays





42 ``Simplified Model Philosophy




441 -L -R e and -R e+L decay modes

442 -L L bR and L bR decay modes



52 Other Searches



A1 Topology (1) 10+ Z e

A2 Topology (2) 10+ h e

A3 Topology (3) 10+ W- e+L

A4 Topology (4) 1+- W+ e

Contents

1 Introduction 2

2 U(1)R Lepton Number General Properties 321 The Fermionic Sector 3

211 Gluinos 3212 Charginos 4213 Neutralinos 5

22 The Scalar Sector 7221 Squarks 7222 Sleptons 8223 The Higgs Sector 9

23 Summary 10

3 Sparticle Decay Modes 1031 Neutralino Decays 1032 Chargino Decays 1333 Slepton Decays 1334 Squark Decays 14

341 First and Second Generation Squarks 14342 Third Generation Squarks 16

4 1st and 2nd Generation Squark Phenomenology 1941 Squark Production 2042 ldquoSimplified Modelrdquo Philosophy 2143 Neutralino LSP Scenario 22

431 Realistic Benchmark Points 2444 Stau LSP Scenario 25

441 τminusL rarr τminusR νe and ντ rarr τminusR e+L decay modes 25

442 τminusL rarr tLbR and ντ rarr bLbR decay modes 26

5 Third Generation Squark Phenomenology 2751 Lepto-quark Signatures 2752 Other Searches 29

6 Summary and Conclusions 32

A Simplified Model Analysis 35A1 Topology (1) X0+

1 rarr Zνe 36A2 Topology (2) X0+

1 rarr hνe 37A3 Topology (3) X0+

1 rarr Wminuse+L 38

A4 Topology (4) X+minus1 rarr W+νe 38

1 Introduction

211 Gluinos

3 gaαo

212 Charginos

χ++i = V +

iw w+ + V +

ie ecR

ie eminusL

χ+minusi = V minus

itT+u + V minusiu h

1w and U+1t

2 asymp (T+u w

213 Neutralinos

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

00 02 04 06 08 10

ve = 10 GeV

1w = 0 and V +1e = 1 X++

1 is the

χ0+i = V N

ibb+ V N

iw w + V Nid h

0d (1)

χ0minusi = UN

is s+ UNit T

0 + UNiu h

0u + UN

iν νe (2)

where V Nik and UN

i χ0minusi ) for

χ0minus4 = UN

4s s+ UN4t T

0 + UN4u h

0u + UN

4ν νe (3)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

U4 ΝN

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

U1 ΝN

221 Squarks

222 Sleptons

Lsim m2

Esim (200-

23 Summary

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

Ltan Β

10 15 20 30 40 50

1174 116 864 571 423 333

ve GeVD

tan Β

L) =g2mX0

128π(U+

1eUN1ν +radic

2U+1tUN

(1minus M2

)2(2 +

g2mX01

512πc2W

(UN1νU

N4ν minus UN

1uUN4u)

(1minus M2

)2(2 +

(1minus m2

m2χ01

1wUN4u + gprimeV N

)R1u +

+radic

2(λSuU

N4s + λTuU

1dR1u +radic

2V N1dU

(λSuR1s + λTuR1t

Stau LSP Scenario

+L ) asymp g2

1w + tan θWVN

(1minus m2

1w minus tan θWVN

(1minus m2

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

ΤΝΤ

1w and V N1b

32 Chargino Decays

1 where X0minus

128π(V minus1uU

N4u minus

radic2V minus

4t )2mXplusmn

(1minus M2

m2Xplusmn

)2(2 +

m2Xplusmn

L ντ with

L ντ ) =g2

(1minus m2

m2Xplusmn

33 Slepton Decays

16πy2τ (12)

16π(λprime333)2

(1minus m2

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

ΤLtan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

tan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

L for the sneutrino

34 Squark Decays

Lj with

(gprimeV N

1b+ 3gV N

1minusm2X0

Γ(uL rarr e+Lj) =

16πy2d (U+

1e)2 (15)

(gprimeV N

1bminus 3gV N

)2 (UN

1minusm2X0

[g2(Uminus1w)2

](1minus

m2Xplusmn

32πy2d(U

2 (18)

9(gprimeV N

](1minus

16π(yuV

minus1u)2

(1minus

m2Xplusmn

radicv2 minus v2

9(gprime V N

](1minus

16πy2d (U+

1e)2 (22)

32πy2d (UN

4ν)2 (23)

10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







1 Introduction

211 Gluinos

3 gaαo

212 Charginos

χ++i = V +

iw w+ + V +

ie ecR

ie eminusL

χ+minusi = V minus

itT+u + V minusiu h

1w and U+1t

2 asymp (T+u w

213 Neutralinos

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

00 02 04 06 08 10

ve = 10 GeV

1w = 0 and V +1e = 1 X++

1 is the

χ0+i = V N

ibb+ V N

iw w + V Nid h

0d (1)

χ0minusi = UN

is s+ UNit T

0 + UNiu h

0u + UN

iν νe (2)

where V Nik and UN

i χ0minusi ) for

χ0minus4 = UN

4s s+ UN4t T

0 + UN4u h

0u + UN

4ν νe (3)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

U4 ΝN

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

U1 ΝN

221 Squarks

222 Sleptons

Lsim m2

Esim (200-

23 Summary

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

Ltan Β

10 15 20 30 40 50

1174 116 864 571 423 333

ve GeVD

tan Β

L) =g2mX0

128π(U+

1eUN1ν +radic

2U+1tUN

(1minus M2

)2(2 +

g2mX01

512πc2W

(UN1νU

N4ν minus UN

1uUN4u)

(1minus M2

)2(2 +

(1minus m2

m2χ01

1wUN4u + gprimeV N

)R1u +

+radic

2(λSuU

N4s + λTuU

1dR1u +radic

2V N1dU

(λSuR1s + λTuR1t

Stau LSP Scenario

+L ) asymp g2

1w + tan θWVN

(1minus m2

1w minus tan θWVN

(1minus m2

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

ΤΝΤ

1w and V N1b

32 Chargino Decays

1 where X0minus

128π(V minus1uU

N4u minus

radic2V minus

4t )2mXplusmn

(1minus M2

m2Xplusmn

)2(2 +

m2Xplusmn

L ντ with

L ντ ) =g2

(1minus m2

m2Xplusmn

33 Slepton Decays

16πy2τ (12)

16π(λprime333)2

(1minus m2

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

ΤLtan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

tan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

L for the sneutrino

34 Squark Decays

Lj with

(gprimeV N

1b+ 3gV N

1minusm2X0

Γ(uL rarr e+Lj) =

16πy2d (U+

1e)2 (15)

(gprimeV N

1bminus 3gV N

)2 (UN

1minusm2X0

[g2(Uminus1w)2

](1minus

m2Xplusmn

32πy2d(U

2 (18)

9(gprimeV N

](1minus

16π(yuV

minus1u)2

(1minus

m2Xplusmn

radicv2 minus v2

9(gprime V N

](1minus

16πy2d (U+

1e)2 (22)

32πy2d (UN

4ν)2 (23)

10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







211 Gluinos

3 gaαo

212 Charginos

χ++i = V +

iw w+ + V +

ie ecR

ie eminusL

χ+minusi = V minus

itT+u + V minusiu h

1w and U+1t

2 asymp (T+u w

213 Neutralinos

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

00 02 04 06 08 10

ve = 10 GeV

1w = 0 and V +1e = 1 X++

1 is the

χ0+i = V N

ibb+ V N

iw w + V Nid h

0d (1)

χ0minusi = UN

is s+ UNit T

0 + UNiu h

0u + UN

iν νe (2)

where V Nik and UN

i χ0minusi ) for

χ0minus4 = UN

4s s+ UN4t T

0 + UN4u h

0u + UN

4ν νe (3)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

U4 ΝN

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

U1 ΝN

221 Squarks

222 Sleptons

Lsim m2

Esim (200-

23 Summary

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

Ltan Β

10 15 20 30 40 50

1174 116 864 571 423 333

ve GeVD

tan Β

L) =g2mX0

128π(U+

1eUN1ν +radic

2U+1tUN

(1minus M2

)2(2 +

g2mX01

512πc2W

(UN1νU

N4ν minus UN

1uUN4u)

(1minus M2

)2(2 +

(1minus m2

m2χ01

1wUN4u + gprimeV N

)R1u +

+radic

2(λSuU

N4s + λTuU

1dR1u +radic

2V N1dU

(λSuR1s + λTuR1t

Stau LSP Scenario

+L ) asymp g2

1w + tan θWVN

(1minus m2

1w minus tan θWVN

(1minus m2

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

ΤΝΤ

1w and V N1b

32 Chargino Decays

1 where X0minus

128π(V minus1uU

N4u minus

radic2V minus

4t )2mXplusmn

(1minus M2

m2Xplusmn

)2(2 +

m2Xplusmn

L ντ with

L ντ ) =g2

(1minus m2

m2Xplusmn

33 Slepton Decays

16πy2τ (12)

16π(λprime333)2

(1minus m2

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

ΤLtan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

tan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

L for the sneutrino

34 Squark Decays

Lj with

(gprimeV N

1b+ 3gV N

1minusm2X0

Γ(uL rarr e+Lj) =

16πy2d (U+

1e)2 (15)

(gprimeV N

1bminus 3gV N

)2 (UN

1minusm2X0

[g2(Uminus1w)2

](1minus

m2Xplusmn

32πy2d(U

2 (18)

9(gprimeV N

](1minus

16π(yuV

minus1u)2

(1minus

m2Xplusmn

radicv2 minus v2

9(gprime V N

](1minus

16πy2d (U+

1e)2 (22)

32πy2d (UN

4ν)2 (23)

10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







212 Charginos

χ++i = V +

iw w+ + V +

ie ecR

ie eminusL

χ+minusi = V minus

itT+u + V minusiu h

1w and U+1t

2 asymp (T+u w

213 Neutralinos

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

00 02 04 06 08 10

ve = 10 GeV

1w = 0 and V +1e = 1 X++

1 is the

χ0+i = V N

ibb+ V N

iw w + V Nid h

0d (1)

χ0minusi = UN

is s+ UNit T

0 + UNiu h

0u + UN

iν νe (2)

where V Nik and UN

i χ0minusi ) for

χ0minus4 = UN

4s s+ UN4t T

0 + UN4u h

0u + UN

4ν νe (3)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

U4 ΝN

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

U1 ΝN

221 Squarks

222 Sleptons

Lsim m2

Esim (200-

23 Summary

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

Ltan Β

10 15 20 30 40 50

1174 116 864 571 423 333

ve GeVD

tan Β

L) =g2mX0

128π(U+

1eUN1ν +radic

2U+1tUN

(1minus M2

)2(2 +

g2mX01

512πc2W

(UN1νU

N4ν minus UN

1uUN4u)

(1minus M2

)2(2 +

(1minus m2

m2χ01

1wUN4u + gprimeV N

)R1u +

+radic

2(λSuU

N4s + λTuU

1dR1u +radic

2V N1dU

(λSuR1s + λTuR1t

Stau LSP Scenario

+L ) asymp g2

1w + tan θWVN

(1minus m2

1w minus tan θWVN

(1minus m2

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

ΤΝΤ

1w and V N1b

32 Chargino Decays

1 where X0minus

128π(V minus1uU

N4u minus

radic2V minus

4t )2mXplusmn

(1minus M2

m2Xplusmn

)2(2 +

m2Xplusmn

L ντ with

L ντ ) =g2

(1minus m2

m2Xplusmn

33 Slepton Decays

16πy2τ (12)

16π(λprime333)2

(1minus m2

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

ΤLtan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

tan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

L for the sneutrino

34 Squark Decays

Lj with

(gprimeV N

1b+ 3gV N

1minusm2X0

Γ(uL rarr e+Lj) =

16πy2d (U+

1e)2 (15)

(gprimeV N

1bminus 3gV N

)2 (UN

1minusm2X0

[g2(Uminus1w)2

](1minus

m2Xplusmn

32πy2d(U

2 (18)

9(gprimeV N

](1minus

16π(yuV

minus1u)2

(1minus

m2Xplusmn

radicv2 minus v2

9(gprime V N

](1minus

16πy2d (U+

1e)2 (22)

32πy2d (UN

4ν)2 (23)

10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







1w and U+1t

2 asymp (T+u w

213 Neutralinos

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

00 02 04 06 08 10

ve = 10 GeV

1w = 0 and V +1e = 1 X++

1 is the

χ0+i = V N

ibb+ V N

iw w + V Nid h

0d (1)

χ0minusi = UN

is s+ UNit T

0 + UNiu h

0u + UN

iν νe (2)

where V Nik and UN

i χ0minusi ) for

χ0minus4 = UN

4s s+ UN4t T

0 + UN4u h

0u + UN

4ν νe (3)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

U4 ΝN

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

U1 ΝN

221 Squarks

222 Sleptons

Lsim m2

Esim (200-

23 Summary

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

Ltan Β

10 15 20 30 40 50

1174 116 864 571 423 333

ve GeVD

tan Β

L) =g2mX0

128π(U+

1eUN1ν +radic

2U+1tUN

(1minus M2

)2(2 +

g2mX01

512πc2W

(UN1νU

N4ν minus UN

1uUN4u)

(1minus M2

)2(2 +

(1minus m2

m2χ01

1wUN4u + gprimeV N

)R1u +

+radic

2(λSuU

N4s + λTuU

1dR1u +radic

2V N1dU

(λSuR1s + λTuR1t

Stau LSP Scenario

+L ) asymp g2

1w + tan θWVN

(1minus m2

1w minus tan θWVN

(1minus m2

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

ΤΝΤ

1w and V N1b

32 Chargino Decays

1 where X0minus

128π(V minus1uU

N4u minus

radic2V minus

4t )2mXplusmn

(1minus M2

m2Xplusmn

)2(2 +

m2Xplusmn

L ντ with

L ντ ) =g2

(1minus m2

m2Xplusmn

33 Slepton Decays

16πy2τ (12)

16π(λprime333)2

(1minus m2

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

ΤLtan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

tan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

L for the sneutrino

34 Squark Decays

Lj with

(gprimeV N

1b+ 3gV N

1minusm2X0

Γ(uL rarr e+Lj) =

16πy2d (U+

1e)2 (15)

(gprimeV N

1bminus 3gV N

)2 (UN

1minusm2X0

[g2(Uminus1w)2

](1minus

m2Xplusmn

32πy2d(U

2 (18)

9(gprimeV N

](1minus

16π(yuV

minus1u)2

(1minus

m2Xplusmn

radicv2 minus v2

9(gprime V N

](1minus

16πy2d (U+

1e)2 (22)

32πy2d (UN

4ν)2 (23)

10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

00 02 04 06 08 10

ve = 10 GeV

1w = 0 and V +1e = 1 X++

1 is the

χ0+i = V N

ibb+ V N

iw w + V Nid h

0d (1)

χ0minusi = UN

is s+ UNit T

0 + UNiu h

0u + UN

iν νe (2)

where V Nik and UN

i χ0minusi ) for

χ0minus4 = UN

4s s+ UN4t T

0 + UN4u h

0u + UN

4ν νe (3)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

U4 ΝN

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

U1 ΝN

221 Squarks

222 Sleptons

Lsim m2

Esim (200-

23 Summary

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

Ltan Β

10 15 20 30 40 50

1174 116 864 571 423 333

ve GeVD

tan Β

L) =g2mX0

128π(U+

1eUN1ν +radic

2U+1tUN

(1minus M2

)2(2 +

g2mX01

512πc2W

(UN1νU

N4ν minus UN

1uUN4u)

(1minus M2

)2(2 +

(1minus m2

m2χ01

1wUN4u + gprimeV N

)R1u +

+radic

2(λSuU

N4s + λTuU

1dR1u +radic

2V N1dU

(λSuR1s + λTuR1t

Stau LSP Scenario

+L ) asymp g2

1w + tan θWVN

(1minus m2

1w minus tan θWVN

(1minus m2

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

ΤΝΤ

1w and V N1b

32 Chargino Decays

1 where X0minus

128π(V minus1uU

N4u minus

radic2V minus

4t )2mXplusmn

(1minus M2

m2Xplusmn

)2(2 +

m2Xplusmn

L ντ with

L ντ ) =g2

(1minus m2

m2Xplusmn

33 Slepton Decays

16πy2τ (12)

16π(λprime333)2

(1minus m2

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

ΤLtan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

tan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

L for the sneutrino

34 Squark Decays

Lj with

(gprimeV N

1b+ 3gV N

1minusm2X0

Γ(uL rarr e+Lj) =

16πy2d (U+

1e)2 (15)

(gprimeV N

1bminus 3gV N

)2 (UN

1minusm2X0

[g2(Uminus1w)2

](1minus

m2Xplusmn

32πy2d(U

2 (18)

9(gprimeV N

](1minus

16π(yuV

minus1u)2

(1minus

m2Xplusmn

radicv2 minus v2

9(gprime V N

](1minus

16πy2d (U+

1e)2 (22)

32πy2d (UN

4ν)2 (23)

10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

U4 ΝN

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

U1 ΝN

221 Squarks

222 Sleptons

Lsim m2

Esim (200-

23 Summary

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

Ltan Β

10 15 20 30 40 50

1174 116 864 571 423 333

ve GeVD

tan Β

L) =g2mX0

128π(U+

1eUN1ν +radic

2U+1tUN

(1minus M2

)2(2 +

g2mX01

512πc2W

(UN1νU

N4ν minus UN

1uUN4u)

(1minus M2

)2(2 +

(1minus m2

m2χ01

1wUN4u + gprimeV N

)R1u +

+radic

2(λSuU

N4s + λTuU

1dR1u +radic

2V N1dU

(λSuR1s + λTuR1t

Stau LSP Scenario

+L ) asymp g2

1w + tan θWVN

(1minus m2

1w minus tan θWVN

(1minus m2

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

ΤΝΤ

1w and V N1b

32 Chargino Decays

1 where X0minus

128π(V minus1uU

N4u minus

radic2V minus

4t )2mXplusmn

(1minus M2

m2Xplusmn

)2(2 +

m2Xplusmn

L ντ with

L ντ ) =g2

(1minus m2

m2Xplusmn

33 Slepton Decays

16πy2τ (12)

16π(λprime333)2

(1minus m2

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

ΤLtan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

tan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

L for the sneutrino

34 Squark Decays

Lj with

(gprimeV N

1b+ 3gV N

1minusm2X0

Γ(uL rarr e+Lj) =

16πy2d (U+

1e)2 (15)

(gprimeV N

1bminus 3gV N

)2 (UN

1minusm2X0

[g2(Uminus1w)2

](1minus

m2Xplusmn

32πy2d(U

2 (18)

9(gprimeV N

](1minus

16π(yuV

minus1u)2

(1minus

m2Xplusmn

radicv2 minus v2

9(gprime V N

](1minus

16πy2d (U+

1e)2 (22)

32πy2d (UN

4ν)2 (23)

10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







222 Sleptons

Lsim m2

Esim (200-

23 Summary

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

Ltan Β

10 15 20 30 40 50

1174 116 864 571 423 333

ve GeVD

tan Β

L) =g2mX0

128π(U+

1eUN1ν +radic

2U+1tUN

(1minus M2

)2(2 +

g2mX01

512πc2W

(UN1νU

N4ν minus UN

1uUN4u)

(1minus M2

)2(2 +

(1minus m2

m2χ01

1wUN4u + gprimeV N

)R1u +

+radic

2(λSuU

N4s + λTuU

1dR1u +radic

2V N1dU

(λSuR1s + λTuR1t

Stau LSP Scenario

+L ) asymp g2

1w + tan θWVN

(1minus m2

1w minus tan θWVN

(1minus m2

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

ΤΝΤ

1w and V N1b

32 Chargino Decays

1 where X0minus

128π(V minus1uU

N4u minus

radic2V minus

4t )2mXplusmn

(1minus M2

m2Xplusmn

)2(2 +

m2Xplusmn

L ντ with

L ντ ) =g2

(1minus m2

m2Xplusmn

33 Slepton Decays

16πy2τ (12)

16π(λprime333)2

(1minus m2

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

ΤLtan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

tan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

L for the sneutrino

34 Squark Decays

Lj with

(gprimeV N

1b+ 3gV N

1minusm2X0

Γ(uL rarr e+Lj) =

16πy2d (U+

1e)2 (15)

(gprimeV N

1bminus 3gV N

)2 (UN

1minusm2X0

[g2(Uminus1w)2

](1minus

m2Xplusmn

32πy2d(U

2 (18)

9(gprimeV N

](1minus

16π(yuV

minus1u)2

(1minus

m2Xplusmn

radicv2 minus v2

9(gprime V N

](1minus

16πy2d (U+

1e)2 (22)

32πy2d (UN

4ν)2 (23)

10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







23 Summary

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

Ltan Β

10 15 20 30 40 50

1174 116 864 571 423 333

ve GeVD

tan Β

L) =g2mX0

128π(U+

1eUN1ν +radic

2U+1tUN

(1minus M2

)2(2 +

g2mX01

512πc2W

(UN1νU

N4ν minus UN

1uUN4u)

(1minus M2

)2(2 +

(1minus m2

m2χ01

1wUN4u + gprimeV N

)R1u +

+radic

2(λSuU

N4s + λTuU

1dR1u +radic

2V N1dU

(λSuR1s + λTuR1t

Stau LSP Scenario

+L ) asymp g2

1w + tan θWVN

(1minus m2

1w minus tan θWVN

(1minus m2

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

ΤΝΤ

1w and V N1b

32 Chargino Decays

1 where X0minus

128π(V minus1uU

N4u minus

radic2V minus

4t )2mXplusmn

(1minus M2

m2Xplusmn

)2(2 +

m2Xplusmn

L ντ with

L ντ ) =g2

(1minus m2

m2Xplusmn

33 Slepton Decays

16πy2τ (12)

16π(λprime333)2

(1minus m2

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

ΤLtan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

tan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

L for the sneutrino

34 Squark Decays

Lj with

(gprimeV N

1b+ 3gV N

1minusm2X0

Γ(uL rarr e+Lj) =

16πy2d (U+

1e)2 (15)

(gprimeV N

1bminus 3gV N

)2 (UN

1minusm2X0

[g2(Uminus1w)2

](1minus

m2Xplusmn

32πy2d(U

2 (18)

9(gprimeV N

](1minus

16π(yuV

minus1u)2

(1minus

m2Xplusmn

radicv2 minus v2

9(gprime V N

](1minus

16πy2d (U+

1e)2 (22)

32πy2d (UN

4ν)2 (23)

10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







23 Summary

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

Ltan Β

10 15 20 30 40 50

1174 116 864 571 423 333

ve GeVD

tan Β

L) =g2mX0

128π(U+

1eUN1ν +radic

2U+1tUN

(1minus M2

)2(2 +

g2mX01

512πc2W

(UN1νU

N4ν minus UN

1uUN4u)

(1minus M2

)2(2 +

(1minus m2

m2χ01

1wUN4u + gprimeV N

)R1u +

+radic

2(λSuU

N4s + λTuU

1dR1u +radic

2V N1dU

(λSuR1s + λTuR1t

Stau LSP Scenario

+L ) asymp g2

1w + tan θWVN

(1minus m2

1w minus tan θWVN

(1minus m2

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

ΤΝΤ

1w and V N1b

32 Chargino Decays

1 where X0minus

128π(V minus1uU

N4u minus

radic2V minus

4t )2mXplusmn

(1minus M2

m2Xplusmn

)2(2 +

m2Xplusmn

L ντ with

L ντ ) =g2

(1minus m2

m2Xplusmn

33 Slepton Decays

16πy2τ (12)

16π(λprime333)2

(1minus m2

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

ΤLtan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

tan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

L for the sneutrino

34 Squark Decays

Lj with

(gprimeV N

1b+ 3gV N

1minusm2X0

Γ(uL rarr e+Lj) =

16πy2d (U+

1e)2 (15)

(gprimeV N

1bminus 3gV N

)2 (UN

1minusm2X0

[g2(Uminus1w)2

](1minus

m2Xplusmn

32πy2d(U

2 (18)

9(gprimeV N

](1minus

16π(yuV

minus1u)2

(1minus

m2Xplusmn

radicv2 minus v2

9(gprime V N

](1minus

16πy2d (U+

1e)2 (22)

32πy2d (UN

4ν)2 (23)

10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

Ltan Β

10 15 20 30 40 50

1174 116 864 571 423 333

ve GeVD

tan Β

L) =g2mX0

128π(U+

1eUN1ν +radic

2U+1tUN

(1minus M2

)2(2 +

g2mX01

512πc2W

(UN1νU

N4ν minus UN

1uUN4u)

(1minus M2

)2(2 +

(1minus m2

m2χ01

1wUN4u + gprimeV N

)R1u +

+radic

2(λSuU

N4s + λTuU

1dR1u +radic

2V N1dU

(λSuR1s + λTuR1t

Stau LSP Scenario

+L ) asymp g2

1w + tan θWVN

(1minus m2

1w minus tan θWVN

(1minus m2

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

ΤΝΤ

1w and V N1b

32 Chargino Decays

1 where X0minus

128π(V minus1uU

N4u minus

radic2V minus

4t )2mXplusmn

(1minus M2

m2Xplusmn

)2(2 +

m2Xplusmn

L ντ with

L ντ ) =g2

(1minus m2

m2Xplusmn

33 Slepton Decays

16πy2τ (12)

16π(λprime333)2

(1minus m2

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

ΤLtan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

tan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

L for the sneutrino

34 Squark Decays

Lj with

(gprimeV N

1b+ 3gV N

1minusm2X0

Γ(uL rarr e+Lj) =

16πy2d (U+

1e)2 (15)

(gprimeV N

1bminus 3gV N

)2 (UN

1minusm2X0

[g2(Uminus1w)2

](1minus

m2Xplusmn

32πy2d(U

2 (18)

9(gprimeV N

](1minus

16π(yuV

minus1u)2

(1minus

m2Xplusmn

radicv2 minus v2

9(gprime V N

](1minus

16πy2d (U+

1e)2 (22)

32πy2d (UN

4ν)2 (23)

10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







Stau LSP Scenario

+L ) asymp g2

1w + tan θWVN

(1minus m2

1w minus tan θWVN

(1minus m2

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

ΤΝΤ

1w and V N1b

32 Chargino Decays

1 where X0minus

128π(V minus1uU

N4u minus

radic2V minus

4t )2mXplusmn

(1minus M2

m2Xplusmn

)2(2 +

m2Xplusmn

L ντ with

L ντ ) =g2

(1minus m2

m2Xplusmn

33 Slepton Decays

16πy2τ (12)

16π(λprime333)2

(1minus m2

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

ΤLtan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

tan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

L for the sneutrino

34 Squark Decays

Lj with

(gprimeV N

1b+ 3gV N

1minusm2X0

Γ(uL rarr e+Lj) =

16πy2d (U+

1e)2 (15)

(gprimeV N

1bminus 3gV N

)2 (UN

1minusm2X0

[g2(Uminus1w)2

](1minus

m2Xplusmn

32πy2d(U

2 (18)

9(gprimeV N

](1minus

16π(yuV

minus1u)2

(1minus

m2Xplusmn

radicv2 minus v2

9(gprime V N

](1minus

16πy2d (U+

1e)2 (22)

32πy2d (UN

4ν)2 (23)

10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







32 Chargino Decays

1 where X0minus

128π(V minus1uU

N4u minus

radic2V minus

4t )2mXplusmn

(1minus M2

m2Xplusmn

)2(2 +

m2Xplusmn

L ντ with

L ντ ) =g2

(1minus m2

m2Xplusmn

33 Slepton Decays

16πy2τ (12)

16π(λprime333)2

(1minus m2

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

ΤLtan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

tan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

L for the sneutrino

34 Squark Decays

Lj with

(gprimeV N

1b+ 3gV N

1minusm2X0

Γ(uL rarr e+Lj) =

16πy2d (U+

1e)2 (15)

(gprimeV N

1bminus 3gV N

)2 (UN

1minusm2X0

[g2(Uminus1w)2

](1minus

m2Xplusmn

32πy2d(U

2 (18)

9(gprimeV N

](1minus

16π(yuV

minus1u)2

(1minus

m2Xplusmn

radicv2 minus v2

9(gprime V N

](1minus

16πy2d (U+

1e)2 (22)

32πy2d (UN

4ν)2 (23)

10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

ΤLtan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

10 15 20 30 40 50

12174 116 864 571 423 333

ve GeVD

HΤ LΝ

tan Β

ΤL reg ΤR-Νe

ΤL reg tLbR

ΝΤ reg ΤR-eL

ΝΤ reg bLbR

L for the sneutrino

34 Squark Decays

Lj with

(gprimeV N

1b+ 3gV N

1minusm2X0

Γ(uL rarr e+Lj) =

16πy2d (U+

1e)2 (15)

(gprimeV N

1bminus 3gV N

)2 (UN

1minusm2X0

[g2(Uminus1w)2

](1minus

m2Xplusmn

32πy2d(U

2 (18)

9(gprimeV N

](1minus

16π(yuV

minus1u)2

(1minus

m2Xplusmn

radicv2 minus v2

9(gprime V N

](1minus

16πy2d (U+

1e)2 (22)

32πy2d (UN

4ν)2 (23)

10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







(gprimeV N

1bminus 3gV N

)2 (UN

1minusm2X0

[g2(Uminus1w)2

](1minus

m2Xplusmn

32πy2d(U

2 (18)

9(gprimeV N

](1minus

16π(yuV

minus1u)2

(1minus

m2Xplusmn

radicv2 minus v2

9(gprime V N

](1minus

16πy2d (U+

1e)2 (22)

32πy2d (UN

4ν)2 (23)

10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







10 15 20 30 40 50010

174 116 864 571 423 333

ve GeVD

tan Β

cR reg X

10 15 20 30 40 50001

100174 116 864 571 423 333

ve GeVD

tan Β

sR reg X

sR reg Νe j

sR reg eL- j

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg X

tL reg ΤL

+bRtL reg eL

= 500 GeV

300 350 400 450 500 550 600

tL reg X

tL reg ΤL

tL reg eL

(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







(gprimeV N

1b+ 3gV N

)2+ y2

t (UN1u)

](1minus

minus m2t

minus 2

radic2 ytU

(gprimeV N

1b+ 3gV N

) mtmX01

λ(mtL

mX01mt) (24)

Γ(tL rarr e+LbR) =

16πy2b (U+

1e)2 (25)

16π(λprime333)2 (26)

λ(m1m2m3) =

radic1 +

minus 2

) (27)

(gprimeV N

1bminus 3gV N

1minusm2X0

[g2(Uminus1w)2 + y2

t (Vminus

1u)2](

1minusm2Xplusmn

minus m2t

+ 4gytUminus1wV

minus1u

mXplusmn1mt

λ(mbL

mXplusmn1mt) (29)

32πy2b (UN

4ν)2 (30)

16π(λprime333)2 (31)

10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







10 15 20 30 40 50

1000174 116 864 571 423 333

ve GeVD

tan Β

L reg X

L= 500 GeV

300 350 400 450 500 550 6000001

L reg X

(gprimeV N

)2+ y2

t (Vminus

](1minus

minus m2t

radic2 ytg

primeV N1bUN

mtmX01

λ(mtR

mX01mt) (32)

minus1u

(1minus

lt mX01

+ mt the

300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







300 350 400 450 500 550 600002

tR reg X

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

R reg eL-tL

R reg ΤL-tL

(gprimeV N

1minusm2X0

16πy2b (U+

(1minus m2

32πy2b (UN

4ν)2 (36)

16π(λprime333)2

(1minus m2

16π(λprime333)2 (38)

500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







500 600 700 800 900 1000 1100 1200

mq GeVD

bDΣHqq LMg = 2 TeV

500 600 700 800 900 1000 1100 1200000

mq GeVD

σ(pprarr X) =sumi

lowastL and qRq

400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







400 500 600 700 800 900 1000

mq GeVD

ΣHX 10+

ΣHX 1+-

ΣHX 10+

1 X0minus1 X+minus

1 X0minus1 jjrdquo

640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







640 690 Z(ll) + jets + ET CMS [40]

635 685 jets + ET ATLAS [19]

530 650 jets + ET ATLAS [19]

350 430 l + jets + ET ATLAS [43]

bull jets + ET

10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







10 15 20 30 40 50

50174 116 864 571 423 333

ve GeVD

Dtan Β

j + ET

l + j + ET

2l + j + ET

2lHSSL + j + ET

2lHZL + j + ET

multi-l + j + ET

10 15 20 30 40 50

174 116 864 571 423 333

ve GeVD

tan Β

j + ET

l + j + ET2l + j + ET

multi-l + j + ET

SS 2l + j + ET

1 X0minus1 jj

X+minus1 Xminus+

1 X0minus1 channel

dominates

bull jets + ET

1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







1 and χ01 rarr

bull jets + ET

+L )2 times

100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







100050020 030015 070200

BRHLQL

ΝΝbb H18 fb-1L

10 15 20 30 40 50

100174 116 864 571 423 333

ve GeVD

tan Β

tL reg eL

tL reg ΤL

mLQ = 400 GeV

Tu isin [0 1]

52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







52 Other Searches

1 rarr ZGor χ+

1 rarrW+χ0

from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







from this search

1 (for mχ01

= 50 GeV and

100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







100 150 200 250 3000

Μ GeVD

tL HmodelL

L HSUSY searchL

tL HLQ tanΒ = 4L

tL HLQ tanΒ = 20L

L HLQL

bLasymp 490 GeV

bRasymp 470 GeV in-

bLasymp 490 GeV

sim 30minus 50 GeV

1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







1 rarr W+νe)

1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







1 X0minus1 rarr

jjτ+L τminusL τ

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

Lepto-quarks

times νν

τminusL

τReminusL

τminusL

Wminus microminusL

νmicro

slowastR

eminusL

qlowast

X0minus1

eminusL

LeminusLW

lowastR rarr e+

LeminusL tLtLτ

Acknowledgments

bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







bull jets + ET

200 400 600 800 1000

mq GeVD

ZHllL+ jets + ET

Σ2Σ1

ΣMSSM

bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







bull jets + ET

References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







References

1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







1 Introduction


211 Gluinos

212 Charginos

213 Neutralinos


221 Squarks

222 Sleptons


23 Summary



32 Chargino Decays

33 Slepton Decays

34 Squark Decays













52 Other Searches







Documents

October 22, 2012 - Fermilablss.fnal.gov/archive/2012/pub/fermilab-pub-12-859-ppd.pdf · bounds on the rst and second generation squarks, arising from a combination of sup- pressed