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Higgs as a Probe of Supersymmetric Grand Unification with

the Hosotani Mechanism Mitsuru Kakizaki (University of Toyama)

October 6, 2013 Mitsuru KAKIZAKI 1

New Higgs Working Group, 7th Meeting, October 6, 2013 @University of Toyama

  In collaboration with Shinya Kanemura (U. of Toyama) Hiroyuki Taniguchi (U. of Toyama) Toshifumi Yamashita (Aichi Medical U.)

  Work in progress

Contents

1.  Motivations

2.  Model of Supersymmetric Grand Gauge-Higgs Unification (SGGHU)

3.  RGE Analysis

4.  Impact on Higgs Properties

5.  Summary


Discovery of a Higgs boson


  July 4, 2012: A Higgs-like particle was discovered at CERN LHC

[cds.cern.ch]

Even

ts /

2 G

eV

2000

4000

6000

8000

10000

ATLAS PreliminaryaaAH

-1Ldt = 4.8 fb0 = 7 TeV, s-1Ldt = 20.7 fb0 = 8 TeV, s

Selected diphoton sampleData 2011+2012

=126.8 GeV)H

Sig+Bkg Fit (mBkg (4th order polynomial)

[GeV]aam100 110 120 130 140 150 160Ev

ents

- Fi

tted

bkg

-200-100

0100200300400500

Higgs Properties


  　　　　 events

The SM is established as a low-energy effective theory

[ATLAS-CONF-2013-012]

This is not the end of the story

  Mass: 125 GeV   Couplings are consistent with the SM Higgs ones

  Higgs couplings h→ γγ

≅)µSignal strength (

-1 0 +1

Combined

4lA (*) ZZAH

aa AH

ili lA (*) WWAH

oo AH

bbAW,Z H

-1Ldt = 4.6 - 4.8 fb0 = 7 TeV: s-1Ldt = 13 - 20.7 fb0 = 8 TeV: s

-1Ldt = 4.6 fb0 = 7 TeV: s-1Ldt = 20.7 fb0 = 8 TeV: s



-1Ldt = 4.6 fb0 = 7 TeV: s-1Ldt = 13 fb0 = 8 TeV: s

-1Ldt = 4.7 fb0 = 7 TeV: s-1Ldt = 13 fb0 = 8 TeV: s

= 125.5 GeVHm

0.20± = 1.30 µ

ATLAS Preliminary

[ATLAS-CONF-2013-034]

Beyond the SM


  Experimental Evidence   Neutrino Oscillations   Dark Matter   Baryon Asymmetry   Inflation

  Theoretical Problems   Hierarchy Problem   Charge quantization   etc

We need a new theory

July 4, 2012

New Physics

125 GeV Higgs

  Higgs boson = Window to New Physics

  A SM-like Higgs boson The SM Higgs boson ≠

Hints of new physics are obtained by invesEgaEng the Higgs properEes

So far, no new particle was discovered

This talk


  Ordinary grand unified theories (GUTs)： ΛGUT ~1016GeV

(Hosotani mechanism Doublet-triplet splitting in the Higgs mass)

  Decoupling theorem

  Supersymmetric Grand Gauge-Higgs Unification (SGGHU):

[Yamashita,PRD84,115016(2011)]

Testing GUTs is difficult

  Tests of GUTs rely on mass/coupling relations of TeV-scale particles

  The existence of new light chiral adjoints is predicted:

We can test a GUT by exploring the Higgs sector

-) Color octet superfield -) SU(2) triplet superfileld -) SU(2) singlet superfield } New Higgs multiplets

Contents

1.  Motivations


3.  RGE Analysis


5.  Summary


Supersymmetric Grand Gauge-Higgs Unification (SGGHU)


  Supersymmetric Grand Gauge-Higgs Unification (SGGHU):

  Grand-Gauge Higgs Unification

  Hosotani mechanism

[Kojima,Takenaga,Yamashita, PRD84,051701(2011)]

  Vev of the extra dimensional component of the gauge field:

Symmetry breaking

A5

a ≠ 0

A5

a ≠ 0  GUT symmetry breaking

[Yamashita,PRD84,115016(2011)]

Supersymmetrization

  Chiral adjoints containing appear at the TeV scale: -) Color octet: -) SU(2) triplet: -) SU(2) singlet:

Adjoint Higgs

A5SU (3),SU (2),U (1)

ΔS

O rather heavy due to RG effect

Low energy effective theory = MSSM + + Δ S

Higgs sector of SGGHU


  Features of the GHU:

  Higgs particles:

4 CP-even scalars: 3+1 CP-odd scalars: 3+1 charged scalars:

  Higgs potential:

Δ,S ⊃ 5th component of the gauge boson

  Trilinear couplings among are absent   are related to the gauge couplings λS,λΔ

The properties of the MSSM Higgs bosons are affected

h,H,SR0,ΔR

0

A,SI0,Δ I

0,GH ±,Δ±,Δ±,G±

Δ,S

EWSB

Origin of the Higgs force: Gauge dynamics

Contents

1.  Motivations


3.  RGE Analysis


5.  Summary


4 6 8 10 12 14 16

0.5

1.0

1.5

2.0

2.5

Gauge Coupling Unification (GCU)


  The Higgs couplings are unified: λΔ = "λS = g1,2,3 ≅ 2

  Evolution of the gauge couplings

  Recovery of the GCU:

2× L(1, 2,−1/ 2)+UC (3,1,−2 / 3)+EC (1,1,1)e.g. Additional vector-like chiral superfields at the TeV-scale:

at the GUT scale

λΔ =1.1, λS =12

35!λS = 0.26 at the TeV scale

High predictability in the Higgs sector

g3

g2

g1

O Δ S

:MSSM

:MSSM+ + +

λΔ

!λS

  The gauge couplings constant is strong at the GUT scale:

4 6 8 10 12 14 16

0.5

1.0

1.5

2.0

2.5

RGE Analysis of Soft Parameters


  Evolution of parameters

gGUT ≅ 2

Masses of squarks and octet become large at lower energy scales

  Typically, low-scale soft parameters are in the multi-TeV range:

yt,λΔ,λS

(| m2hu|, mhd

2 , mΔ2, mS

2,…)

RG effect via

  However, we can also obtain small soft parameters less than TeV

-) Tuning is needed for EWSB

Contents

1.  Motivations


3.  RGE Analysis


5.  Summary


Mass of the SM-like Higgs boson in the SGGHU


hd

hu hu

FS,FΔhd

λS,λΔ λS,λΔ

  Higgs mass (for large case):

  Tree level contributions:

  1-loop level contributions: hu hu

hu hu

S,ΔλS,λΔ

mΔ, mS

-0.04

-0.02

0

0.02

0.04

0.06

0.08

0.1

200 250 300 350 400 450 500

b H±

mA (GeV)

Masses of additional Higgs bosons


  MSSM-like charged Higgs:

We can distinguish models using LHC data to some extent

  MSSM-like heavy CP-even Higgs:

[see e.g. Assamagan,Coadou(2002)]   Accuracy of LHC mass measurements: a few %

Singlet

Triplet + Singlet

Triplet

Very small mass shifts:

O(1)% ~O(10)%Deviation:

<1%

λΔ =1.1λS = 0.26

  Deviations from the MSSM predictions (for large case) mΔ, mS

Benchmark Points (Small Soft Mass Case)


  GUT-scale parameters

By adjusting parameters, we can obtain small soft masses

  Parameters at the TeV scale

Higgs mass eigenvalues (GeV)

RG evolution

Fingerprinting


g(hAA) / g(hAA)SM −1

MSSM: NMSSM: SGGHU:

[Peskin,1207.2516v3]

  Couplings of the SM-like Higgs boson:

We can distinguish models using LC precision measurements

  In the SUSY GUT with the Hosotani mechanism (SGGHU), the Higgs sector is extended with Higgs triplet and singlet

4. Summary


  The SGGHU is a good illustration to show the capabilities of colliders for testing GUT scale physics

  The predicted values of -) the Higgs couplings -) the masses of the additional Higgs bosons deviates from those of the SM and MSSM by

By combining LHC and LC Higgs studies, we can differentiate among the varieties of new physics

O(1)% ~O(10)%

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