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Status of the SUSY Les Houches Accord 2 project

RPV, CPV, FLV, NMSSM & more

P. Slavich(P. Skands)

February 2006

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SUSY Les Houches Accord v1

Writeup in JHEP 0407:036,2004

• Les Houches Lots of people, lots of discussions, lots of head-aches

• SUSY is old. Different models + different people + different tools different conventions

• Accord one convention, less head-ache

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SUSY Les Houches Accord v1

+ F77 I/O Library by T. Hahn (now also NMSSM)

SUSY MODEL

MSSMSUGRAGMSBAMSBNMSSMRPVCPVFLV…

CPSUPERHFEYNHIGGSISASUSYNMHDECAYSOFTSUSYSPHENOSUSPECT…

SPECTRUM CALCULATOR

CALC/COMPHEPAF’S SLEPTONSGRACEHERWIG (++)ISAJETPROSPINOPYTHIASHERPASMADGRAPHSUSYGENWHIZARD…

MC EVENT GEN /XS CALCULATOR

MICRΩSDARKSUSYNEUTDRIVERPLATON (?)

CDM PACKAGE

DECAY PACKAGE

FEYNHIGGS HDECAY NMHDECAY SDECAY SPHENO

spectrum

spc+decspc

input

spectrum

FITTINO, SFITTERFITTERS

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Example SLHA Spectrum

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The SLHA1 Conventions1. Experimental boundary conditions

• “SM” gauge couplings and Yukawas (measured) “MSSM” couplings and Yukawas (not the same, since different

field content different quantum corrections)

2. Superpotential (at scale Q (normally MGUT) in DRbar)

3. SUSY Breaking Terms (at scale Q in DRbar)

A

¹

mAM 1

2

mo

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How to Generalise?MSSM

2. Superpotential (at scale Q (normally MGUT) in DRbar)

RPVCPVFLV

3. SUSY Breaking Terms (at scale Q in DRbar)

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How to Generalise?Model Definition

• Additions to global switches in block MODSEL:

3) Choice of particle content0: MSSM (default)1: NMSSM

4) R-parity violation0: R-parity conserved (default)1: R-parity violated

5) CP violation0: CP conserved (default)1: CP violated but only by CKM phase2: CP violated, general phases allowed

6) Flavour violation0: No (SUSY) flavour violation (default)1: Flavour violated

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How to Generalise?MSSM

4. Work out physical Spectrum

• Pole masses, • Imaginary sneutrinos … (codes 1000017, 1000018,1000019)

• EW scale Lagrangian parameters• Need to specify all Lagrangian couplings (see below …)

• + effective vertices? (nothing yet SLHA3 ???)

• EW scale mixings• CPV+RPV+FLV basically, every state with same colour,

spin, and EM charge can mix!

• For the time being, we restrict to either RPV or CPV.

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• INPUT– New input blocks for all RPV superpotential parameters, soft-breaking

parameters, and sneutrino vevs (all with prefix “RV” and suffix “IN”)

• LAGRANGIAN PARAMETERS (all DRbar at scale Q) : – New output blocks for all RPV parameters (prefix “RV” but no suffix)

• POLE MASSES– “PDG” codes for imaginary sneutrinos: 1000017, 1000018,1000019

• EW SCALE MIXING:– RVNMIX: 7x7 neutralino/neutrino mixing

– RVUMIX, RVVMIX: 5x5 chargino/lepton mixing example …

– RVHMIX: 5x5 CP-even Higgs/sneutrino mixing

– RVAMIX: 5x5 CP-odd Higgs/sneutrino mixing

– RVLMIX: 8x8 Charged Higgs/slepton mixing

How to Generalise?RPV

incl. Goldstones (?)

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• Mixing Example: Charged colour-singlet fermions

How to Generalise?RPV

Flavour basise+ = e+ flavour eigenstatemu+ = mu+ -”-tau+ = tau+ -”--i ~w+ = charged wino ~h2+ = charged higgsino (up-type)

Mass basis (PDG numbers), strictly mass-ordered:-11 (e+) = lightest state (regardless of composition!)-13 (mu+) = 2nd lightest -15 (tau+) = 3rd lightest1000027 (chi1+) = … 1000037 (chi2+) = heaviest charged colour-singlet fermion

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How to Generalise?FLV

Flavour Violation at Les Houches (Chamonix): Fondue au sucre!

Already some experience with FLV!

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How to Generalise?FLV

• SUPER-CKM BASIS:– defined as basis in which quark Yukawas, in DRbar, are diagonal– NB: lepton mixing not treated yet (though see RPV).

• INPUT– VCKMIN: VCKM in PDG parametrisation (SM MSbar at MZ).– SMINPUTS: Include mu,d,s(2GeV)MSbar and mc(mc)MSbar

– NB: no explicit proposal yet for input of non-diagonal soft SUSY-breaking trilinear and bilinear terms, e.g. MSQIN, MSUIN, MSDIN?

• LAGRANGIAN PARAMETERS (all DRbar at scale Q) :– Yukawas: Super-CKM basis always diagonal (but same blocks as SLHA1)

– VCKM and bilinear SUSY-breaking MSQ, MSU, MSD matrices

• EW SCALE MIXING:– USQMIX: 6x6 up-squark mixing in super-CKM basis– DSQMIX: 6x6 down-squark mixing in super-CKM basis

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How to Generalise?CPV

• SIMPLEST WAY– Add prefix “IM” to already existing SLHA1 blocks

– E.g. in input: IMEXTPAR; in output: IMNMIX etc …

– Not completely general, but useful starting point

• MORE GENERAL– Add prefix “IM” to new SLHA2 blocks (supersede SLHA1 if present)

• EW SCALE MIXING:– CVHMIX: 4x4 neutral Higgs (CP-even & CP-odd) mixing

– IMCVHMIX: imaginary parts

– Charged Higgs mixing (2x2) not yet agreed upon

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How to Generalise?NMSSM Cf. NMHDecay,

Ellwanger, Gunion, Hugonie

2. Superpotential (at scale Q (normally MGUT) in DRbar)

(usually with μMSSM=0)

NMSSM

3. SUSY Breaking Terms (at scale Q in DRbar) EXTPAR:61) lambda62) kappa63) A_lambda64) A_kappa65) mu_eff=lambda<S>

4. Physical Spectrum

• 3 H0 (PDG: 25,35,45), 2 A0 (PDG: 36, 46), 5χ0 (PDG: 1000045)

• Mixing: NMHMIX NMAMIX NMNMIX

See also MicrOMEGAs & CalcHEP+ Interface to PYTHIA

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Cross Sections & Theory ErrorsNB: Not included in current LH status report

• Theory Errors– Introduce (unphysical) input variables corresponding to

variations within theoretical uncertainty -> range of spectra. (Similar in spririt to error PDF's)

– Calculation of observables from spectrum +/- errors on computed variables

• Cross Sections used by fit programs– Templated in SPheno. Collecting experiences now.

Fittino, Sfitter

These (and more?) to be included in journal writeup

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Outlook

• ‘Conceptual Design Report’ for SLHA2 prepared for Les Houches BSM Proceedings, to appear on archives soon. Concerns core SLHA2 conventions.

• More extensive writeup to follow in 2006. To discuss:– MC4BSM, Fermilab, Mar 20-21, 2006 (non-MSSM BSM)

– Flavour in the Era of the LHC, CERN, May 15-17, 2006 (flavour)

– Tools 2006, Annecy, Jun 26-28, 2006

– MC4LHC, CERN, Jul 17-26, 2006

• See also Les Houches BSM tools repository: http://www.ippp.dur.ac.uk/montecarlo/BSM

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ConclusionsTough conditions call for good tools! We will be

ready for NMSSM, CPV, RPV, FLV, …

Then all we need is a signal …

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Work 1

WM SSM = ²ab£(YE )i jH a

1Lbi¹E j +(YD )i jH a

1Qbi¹D j +(YU )i jH b

2Qai¹Uj ¡ ¹ H a

1Hb2

¤

V3 = ²abX

i j

h(TE )i jH a

1~LbiL ~e

¤j R+(TD )i jH a

1~QbiL~d¤j R +(TU )i jH b

2~QaiL~u¤j R

i+h:c: ;

V2 = m2H 1H ¤1aH

a1 +m2

H 2H ¤2aH

a2 + ~Q¤

iL a(m2

~Q)i j ~Qa

j L+ ~L¤iL a(m

2~L)i j ~L aj L +

~uiR (m2~u)i j ~u

¤j R+ ~diR (m

2~d)i j ~d¤j R +~eiR (m

2~e)i j ~e

¤j R¡ (m2

3²abHa1H

b2 +h:c:) :

LG =12

³M1

~b~b+M2~wA ~wA +M3~gX ~gX´+h:c: :

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Work 2

W = ²ab£(YE )i jH a

1Lbi¹E j +(YD )i jH a

1Qbi¹D j +(YU )i jH b

2Qai¹Uj

+12¸ i j kLai L

bj Ek +¸0i j kL

ai Q

bjDk ¡ ²iLai H

b2 ¡ ¹ H a

1Hb2

¸+12¸00ij kUiD jDk

V3 = ²abX

i j

h(TE )i jH a

1~LbiL ~e

¤j R+(TD )i jH a

1~QbiL~d¤j R +(TU )i jH b

2~QaiL~u¤j R

+12(T¸ )i j k~LaiL

~Lbj L ~e¤kR

+ (T¸ 0)i j k~Lai ~Qbj~d¤kR

i+12(T¸ 00)i j k~u¤iR

~d¤j R~d¤kR +h:c:

LG =12

³M1

~b~b+M2~wA ~wA +M3~gX ~gX´+h:c: :

V2 = m2H 1H ¤1aH

a1 +m2

H 2H ¤2aH

a2 + ~Q¤

iL a(m2

~Q)i j ~Qa

j L+ ~L¤iL a(m

2~L)i j ~L aj L +

~uiR (m2~u)i j ~u

¤j R+ ~diR (m

2~d)i j ~d¤j R +~eiR (m

2~e)i j ~e

¤j R¡ ²ab(m2

3Ha1H

b2+D i Lai H

b2

+h:c:) :mLiH Lai H

b1

+

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Work 3

W =WM SSM +¸²abSH a1H

b2+

·3S3

V3 = V3;M SSM +(²ab¸A¸SH a1H

b2+h:c:) +

·3A · S3;

V2 = V2;M SSM +m2SS

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