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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
October 6, 2013 Mitsuru KAKIZAKI 2
Discovery of a Higgs boson
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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
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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 = 4.8 fb0 = 7 TeV: s-1Ldt = 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
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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
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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
2. Model of Supersymmetric Grand Gauge-Higgs Unification (SGGHU)
3. RGE Analysis
4. Impact on Higgs Properties
5. Summary
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Supersymmetric Grand Gauge-Higgs Unification (SGGHU)
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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
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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
2. Model of Supersymmetric Grand Gauge-Higgs Unification (SGGHU)
3. RGE Analysis
4. Impact on Higgs Properties
5. Summary
October 6, 2013 Mitsuru KAKIZAKI 10
4 6 8 10 12 14 16
0.5
1.0
1.5
2.0
2.5
Gauge Coupling Unification (GCU)
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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
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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
2. Model of Supersymmetric Grand Gauge-Higgs Unification (SGGHU)
3. RGE Analysis
4. Impact on Higgs Properties
5. Summary
October 6, 2013 Mitsuru KAKIZAKI 13
Mass of the SM-like Higgs boson in the SGGHU
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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
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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)
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GUT-scale parameters
By adjusting parameters, we can obtain small soft masses
Parameters at the TeV scale
Higgs mass eigenvalues (GeV)
RG evolution
Fingerprinting
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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
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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)%