Kane Mura

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Extended Higgs sectors in new

physics models at the TeV scaleShinya KANEMURA

Univerisity of TOYAMA

Workshop on Multi-Higgs Models, Lisbon, 28-30, Sep. 2012

Based on woks with

Mayumi Aoki, Yasuhiro Okada, Eibun Senaha, Osamu Seto,

Tetsuo Shindou, Koji Tsumura, Kei Yagyu, Toshifumi Yamada

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IntroductionAlthough the 126 GeV signal has been found at

the LHC , the Higgs sector remains unknown

Minimal/Non-minimalHiggs sector?

We already know BSM phenomena:

Neutrino oscillation

Dark Matter

Baryon Asymmetry of the Universe

Dm2 ~810-5 eV2, Dm2 ~210-3 eV2

WDMh2~ 0.11

nB/s ~ 910-11

To understand these phenomena, we need to go beyond-SM

The non-standard Higgs sector would be related to these phenomena

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Mass of the Higgs boson

Higgs boson mass was the lastunknown parameter in the SM

The parameter is importantbecause it directly relates todynamicsof the Higgs potential

A Heavy Higgs Strong A relatively light Higgs Weakly

At the LHC, a new particlewithmass of 126 GeV, which mightbe the Higgs boson

Why 126 GeV?

mh2= v2

V()=2

||2

||4

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Dynamics of the Higgs potential

Two possibilities

1. mh=126 GeV and Weakly-Coupled

mh

2v2

Higgs sector almost SM-like

New physics at high energies

2. mh=126 GeV but Strongly-Coupled

mh2 v2

Extended Higgs sectors at low energies

EW scale

Planck scale

GUT scale

EW scale

Planck scale

GUT scale

Landau Pole

Strong-But-Light Scenario!

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In this talk

A scenario with a strongly-coupled extendedHiggs sector with a 126 GeV SM-like Higgs

Landau pole is supposed at the O(10) TeV

How can we solve the problems in the SM?

They should be explained by the physics at TeV scale,

which can be directly tested by experiments.

Neutrino Loop-induced by TeV physics

Dark Matter WIMP DM Baryogenesis Electroweak Baryogenesis

What is the UV complete theory above the

Landau pole?EW scale

Planck scale

GUT scale

Strongly CoupledRegion

Landau Pole

Physics for

BSM phenomena

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Extended Higgs sector

exp= 1.0008

+0.0017

-0.0007

22

2

22 2 2

4 ( 1)

cos 2

i i i i i

W i

Z W i i

i

T T Y v cm

m Y v

L:SU(2) isospin

: hypercharge

: v.e.v.

i

i

i

T

Y

v

:1 for complex representation

1/2 for real representation

ic

Muliti-doublets (+ singlets)

are natural extension (=1)

What is the shape of the

Higgs sector?

Simplest Model :

Two Higgs doublet Model (2HDM)

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FCNC SuppressionMulti-Higgs models: FCNC via Higgs

To avoid FCNC, impose a discrete symmetry

2HDM: F1 F1, F2 = F2Each quark or lepton couples only one ofthe Higgs doublets

No FCNC at tree level!

Type X

MSSM

Four types of Yukawa Interaction

Aoki, SK, Tsumura, Yagyu, PRD 80, 015017 (2009)

7

Type Y

Barger, et al.

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2 Higgs doublet model (2HDM)

8

Diagonalization

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Decoupling/Non-decoupling

Non-decoupling effect

L: Cutoff

M: Mass scale

irrelevant

to VEV

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Decoupling/Non-decoupling

Decoupling TheoremAppelquist-Carazzone 1975

New phys. loop effect in observables

1/M

n

0 (M

decouple)

Violation of the decoupling theorem

Chiral fermion loop (ex. top )

mf= yfv

Boson loop (ex. H+ in non-SUSY 2HDM)

m2= v2+ M2 (only if v2> M2)


100GeV h

New Particle

TeV

10

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Example (Electroweak T parameter)

11

t

tW, Z

H

W, ZW, Z

W,Z

W, Z

(SM )

(2HDM)Quadratic mass contribution

(non-decoupling effect)

Data |T| < 0.1

Peskin and Takeuchi, 92

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Higgs potential

Non-decoupling effect 12

To understand the essence of EWSB, we must know theself-coupling in addition to the mass independently

Effective potential

Renormalization

Conditions

SM Case

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Case of Non-SUSY 2HDM

Consider when the lightest his SM-like[sin(ba)=1]

At tree, the hhhcoupling takes thesame form as in the SM

At 1-loop, non-decoupling effect m4

If M< v

Top loopExtra scalar

loop

Correction can be huge 100%

SK, Kiyoura, Okada, Senaha, Yuan, PLB558 (2003)

( = H, A, H)

13

= H, A, H

Non-decoupling effect Decoupling

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Relation to Electroweak Baryogenesis

Sakharovs conditions:B Violation Sphaleron transitionat high TC and CP Violation CP Phases in extended scalar sectorDeparture from Equilibrium 1stOrder EW Phase Transition

Quick sphaleron decoupling to retain

sufficient baryon number in Broken Phase

14

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Effective Potential at Finite Temperatures

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SM Case

16

Sphaleron Decouplingmh < 60GeV

High Temperature Expansion (for description)

Possibility of Electroweak Baryogenesis is exluded in the SM

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Case of 2HDM

+

3(+3

+3

+3

)

17

Sphaleron decoupling condition is

satisfied with mh = 126 GeV due to

the non-decoupling effect of extra Higgses

High temperature expansion (for description)

Non-decoupling effects

of additional scalars

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EW baryogenesis and the hhhcoupling

SK, Okada, Senaha (2005)

18

Strong 1stOPT Large hhhcoupling

fc/Tc> 1

The same non-decoupling

effect gives a large deviation

in the hhhcoupling from the

SM prediction

Testable at the ILC!

The quick sphaleron decouplingCan be realized with the 126 GeV

SM-like Higgs when extra Higgses

shows non-decoupling property

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BSM: Tiny Neutrino Masses

Why neutrino masses are so tiny?

What is the origin of neutrino mass?

Dirac? Majorana?

Ter

ascale

Mass of Neutrinos

Dm221 7.5 10 5eV2Dm232 2.3 10 3eV2

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BSM: Tiny Neutrino Masses

Neutirno Mass Term (= Effective dim-5 operator)

Mechanism for tiny masses:

mnij= (cij/M) v2 < 0.1 eV

Seesaw (tree level)

mnij = yiyj v2/M (M>> 1TeV)

Quantum Effects

m

n

ij= [g

2

/(16p

2

)]

N

Cijv

2

/M (M can be 1 TeV)

Leff= (cij/M) niLn

jL f f v = 246GeV

N-th order of perturbation theory

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BSM: Neutrino Masses

Neutirno Mass Term (= Effective dim-5 operator)

Mechanism for tiny masses:

mnij= (cij/M) v2 < 0.1 eV

Seesaw (tree level)

mnij = yiyj v2/M (M>> 1TeV)

Quantum Effects

m

n

ij= [g

2

/(16p

2

)]

N

Cijv

2

/M (M can be 1 TeV)

Leff= (cij/M) niLn

jL f f v = 246GeV

N-th order of perturbation theory

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Tiny n-Masses come from loop effects Zee (1980, 1985)

Zee, Babu (1988)

Krauss-Nasri-Trodden (2002)

..

Extension of the Higg sector!

Merit

Super heavy particles are not necessarySize of tiny mncan naturally be deduced

from TeV scale by higher order perturbation

Physics at TeV: Testable at collider experiments

Scenario of loop-inducednnffZee

Krauss, Nasri, Trodden

Babu

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Radiative seesaw with Z2

Ex1) 1-loop Ma (2006) Simplest model

SM + NR+ Inert doublet (H) DM candidate [ Hor NR ]

Ex2) 3-loop Aoki-Kanemura-Seto (2008)

Neutrino mass from O(1) coupling 2HDM +0+ S++ NR

DM candidate [ 0 (or NR) ]

Electroweak Baryogenesis

H H

Z2-parity plays roles: 1. No Yukawa coupling (Radiative neutrino mass)

2. Stabilityof the lightest Z2odd particle (DM)

All 3 problems may be solved by TeV physics w/o fine tuning

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The 3-loop model (AKS)

Particle Entries

2HDM + S++ + NR

Neutrino masses are induced

at the 3-loop

DM candidate is

Electroweak Baryogenesis1. CPV in the 2HDM

2. 1

st

OPT by non-decoupling effect of S

+

Region allowed by Vacuum Stability

and Triviality exists for the cutoff scale

10 TeV, where experimental data

are also satisfied

Z2odd

Allowed

region

Excluded

by the VS

condition

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Thermal Relic Abundance of 0

mh would be around 40-65 GeV for m

S= 400GeV

(-

)

( +)kv

kv

WMAP data

The 1-loop process ggcan be comparable

to the bb and ttprocesses, when s, Yf

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The 3-loop model

The requirement and data taken into account

Neutrino Data

DM Abundance, Direct search results

Condition for Strong 1stOPT

LEP Bounds on Higgs Bosons

Tevatron Bounds on mH+

B physics: B Xsg, Btn

Tau Leptonic Decays, LFV (e, 3e)

The Phenomenological Properties

Light scalar DM

Light H+ Type X Yukawa couplingsStrong 1stOPT Non-decoupling property3-loop Lepton # violation process at ILC

Many discriminative predictions!!

NR

AH, H+

h(DM)

S+

1TeV

400GeV

200GeV

100GeV

50GeV

h

Mass Spectrum

10TeV

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SUSY Extensions

Even when the Landau pole is

10 TeV, there is hierarchy problem

SUSYcan give a good theory

We consider modes of EWBG in the

SUSY framework

(But for a strong-but-light scenario)

Model for the UV completionEW scale

Planck scale

GUT scale

Strongly CoupledRegion

Landau Pole

Physics for

BSM phenomena

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What kind of SUSY Higgs sectors give

strong 1stOPT ?

(large deviation in the hhhcoupling?)

1. MSSM: only D term [+ (F-term top Yukawa at loop)]

determines mh, hhh etc.

2. General SUSY Higgs sectorVint= |D|

2+ |F|2+ Soft-breaking

F-term contributions: appear with additionalsinglets, tripletsW = Hu.Hd, HuHu,

Large non-decoupling effects can appear in observables via F-term

Case of

Non-SUSY

THDM

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NMSSM (MSSMS)

Chiral Superfield: S (singlet)which generates F-term interaction

29

h h

h h

HHS2

h

h

h

h

HHS2

HHS

2S

S

Tree level

Contribution

To the mass

One-loop

Contribution toThe hhhcoupling

W = lHHS HuHdS

VF= lHHS2 |HuHd|

2 lHHS2 |HuS |

2 lHHf2 |HdS |

2

Same coupling makes both mhand the hhhcoupling large

mhis large, but the deviation in hhhcoupling not large

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Fat Higgs modelHarnik, Kribs, Larson, Murayama

Composite H1, H2, NA UV complete theory

At low energy, a strong NMSSM

The SM-like Higgs can be heavy

30

can be of O(1)

mh> 200 GeV

S K T Shi d K Y 2010

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Notree levelcontribution to the

mass of h

4HDMcharged singlets 1,2

31

h

h

h

h

22W H

One-loop contribution

W = l1 HuHuW1l2 HdHdW2

VF= l12 |HuHu |

2l12 |HuW1|

2l12 |HuHu|

2

+l22

|HdHd |2

l22

|HdW2|2

l22

|Hd Hd|2

h

h

h

h

22

2W H

W H

W H W H+ +

Non-decoupling effect (4

/g

2

)appears in thehhhcoupling after renormalization

Hu,d

: extra doublets,W1,2

: charged singlets

h h

h h

g2

100GeV

MSSM-like

Higgses

Hu, HdW1, W2TeV

S.K., T. Shindou, K. Yagyu, 2010

Z2odd

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Non-decoupling effects

l < 2.5

L> 4 TeV

SM-like Higgs mass

The hhh coupling

Deviation can be large when

mhcannot be very large: 114-135 GeV

20-70% !

Xt=0.6

Xt=2.0

Xt=1.2


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EW Phase Transition in 4HDM+W

4HDMW is a new viable modelwhich can give the strong 1stOPT

easily. (2 TeV < Lcutoff< 102

TeV)

In this case, deviations in the hhh coupling= 15% - 70 %

Testable at ILC !

fC

Tc

S.K., E. Senaha, T. Shindou arXiv:1109.5226

W = l1 HuHuW1l2 HdHdW2

fc/Tc> 1

102TeV > L>2 TeV

Largehhh

coupling

Strong 1

st

OPT

For relatively large l1, l2 couplings,

Sphaleron condition is satisfied

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RGE analysis in 4HDM+W

l2 Lcutoff

2.5 2 TeV

2.0 10 TeV

1.5 100 TeV

W = l1 HuHuW1 l2 HdHdW2


Landau Pole

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What waits beyond the Landau Pole ?

A UV-complete model

1. Consider SUSY SU(2) gauge theory with 3 pairsof

matter superfields (the same setup as Fat Higgs)

2. The theory becomes strongly coupled at an IR scale.

3. Low-energy effective theory below is described by

Meson superfields, which have large couplings.

Higgs superfields = Mesons of SUSY gauge theory

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A UV complete scenario

SU(2)H SUSY QCD with Nc=2and Nf=3

with three pairs of matter fields Ti Nf=Nc+1: Confinement occurs

Below H , the effective theory is

described by mesons

IR:

Running of

below H

UV:

Running of gH

above H

/H/H

gH

Intrigator and Seiberg, hep-ph/9509066

S.K., T. Shindou, T. Yamada, 1206.1002

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SM-like Higgs mass at benchmark points.

(extra-Higgsino masses come from Higgs VEVs)

Soft masses:

Predicted

mass of h

Strong-But-Light

Scenario!4HDM+

(+ neutral singlets)

S.K., E. Senaha, T. Shindou, 1109.5226

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Interesting SUSY model for

neutrino mass, DM and EWBG

Framework: SU(2)HZ2(SM sym.) Addition of NRsuperfields to the model

The model contains fields in the SUSYMa model or the SUSY AKS model with

the required strong coupling with

light (126GeV) Higgs

Below Hthe low energy effective theory can

explain Electroweake Baryogenesis, Neutrino

mass and DM by radiative seesaw scenario

EW scale

Planck scale

Landau Pole

S.K., T. Shindou, T. Yamada, work in progress

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Summary

We have discussed various possibilities of extendedHiggs sectorsin models to explain new physicsphenomena at TeV scale with relatively strong couplings

Baryogenesis Electroweak BaryogenesisNeutrino Mass Radiative SeesawDM WIMP

These scenarios can predict many discriminative andtestable collider signatures

We have also discussed a UV complete model above theLandau pole, which predicts SUSY extensions of theabove models at the TeV scale

Physics of extended Higgs sectors is rich!

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Back Up Slides

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Predictions of Type X 2HDM

Decays:

At LHC,

Type X 2HDM can be discriminated

from MSSM (Type-II)by the

combination oftt gluon fusion

H, A decay into tt, not bb.

Aoki, SK, Tsumura, YagyuarXiv:0902.4665[hep-ph]

ppA (H) tt

and bb associate (H)A production

pp bbA (bbH)

Type X Yukawa structure of the mode can be well tested at LHC and ILC.

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We add one -even, and SM gauge singlet, .

Most general superpotential involving :

We assume and .

remains perturbative up to the Planck scale.

Integrating out, and with conformal enhancement,

we have with .

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Test the Majorana Nature at ILC

The sub-diagram itself can be directlymeasured at the e-e-collision.

Signal: ttwith large missing Es(e-e-S-S-)=O(10)pb!

Combination of e+

e-

and e-

e-

processes is useful to test this model

hea=O(1)

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Fat Higgs modelHarnik, Kribs, Larson, Murayama

Composite H1, H2, NA UV complete theory

At low energy, a strong NMSSM

The SM-like Higgs can be heavy

45

can be of O(1)

mh> 200 GeV

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90%C.L.

68%C.L..

T

S

the effect of the THDM

=200GeV

=300GeV

ST plot in the THDM

2

12

ln

,

=300GeV, is varied from

200 to 400 GeV by the 10 GeV

stepblack dots.When = = ,

we obtain S = 0and = 0.

In a heavy Higgs boson case, the precision measurement data can be

satisfied by the mass splitting between and.

=

The precision measurement data

= , sin( ) = 1

=210GeV

=400GeV

46

=117GeV

=500GeV

=200GeV

117G V

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constrain mass splitting

Unitarity restricts a large lambda

Stability restricts a sign of lambda

Direct search constrain

=117GeV

T

S

allowed region

102

103

the lightSM-like Higgs boson

mA[GeV]

The mass splitting is required to be small

the colored region is excluded

=117GeV

Combined results

47

SK, Okada, Taniguchi, Tsumura, 2011

500G V

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T

S=500GeV

=500GeV

allowed regionmA[GeV]

the heavySM-like Higgs boson

The largemass splitting is required by EWPO.

The upper bound of is 1 TeV.

Combined results

the colored region is excluded


constrain mass splitting

Unitarity restricts a large lambda

Stability restricts a sign of lambda

Direct search constrain

48

SK, Okada, Taniguchi, Tsumura, 2011

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Mass of the lightest

Higgs boson

Kanemura, Kasai, Okada

1999

The predicted region of mass can

be differ even if all the other

phenomena behave like the SM

in the low energy.

SM

2HDM type12HDM type 2

MSSM

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Model without = 1 at tree level

Model with =1: SM, 2HDM, MSSM, . 3 inputs (EM, GF, mZ)with cosW=mW/mZ =1 measures the violation of SU(2)v in the loop dynamics

ex) (mtmb)2/v2 quark-loopor (mH+mA)

2/v2 scalar-loop

Model without =1: models with tripletes 4 inputs (EM, GF, mZ, sin2w)

Renormalization of additional EW parameter sin2w absorbs

the violation of the custodial SU(2)v symmetry

No quadratic mass dependences in

ex) ln(mt/mb) quark-loop50

ve(ae): vector (axial)

part of the Zee vertex

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Higgs Triplet Model (HTM)

Tree level

Loop level

51S. Kanemura, K. Yagyu, arXiv:1201.6287

Neutrino mass via Type-II Seesaw mechanism

P di i f T X 2HDM

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Predictions of Type X 2HDM

Decays:

At LHC,

Type X 2HDM can be discriminated

from MSSM (Type-II)by the

combination oftt gluon fusion

H, A decay into tt, not bb.

Aoki, SK, Tsumura, YagyuarXiv:0902.4665[hep-ph]

ppA (H) tt

and bb associate (H)A production

pp bbA (bbH)

Type X Yukawa structure of the mode can be well tested at LHC and ILC.

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Seesaw Mechanism?

Super heavy RH neutrinos (MNR~ 1010-15

GeV) Hierarchy between MNRandmDgenerates that

betweenmDandtiny mn (mD~ 100 GeV)

Simple, compatible with GUT etc Introduction of a super high scale

Hierarchy for hierarchy!

Far from experimental reach

mn= m

D

2/MNR

Minkowski

Yanagida

Gell-Mann et al

nnff

L

R

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