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Comprehensiv e Analysis on the Light Higgs Scenario in the Framework of Non-Universal Higgs Mass Model. Shigeki Matsumoto. Collaborators. M. Asano (Tohoku Univ.) M. Senami (Kyoto Univ.) H. Sugiyama (Ritsumeikan Univ.). New Physics @ Tera-scale.

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slide1

Comprehensive Analysis on the Light Higgs Scenario in the Framework of Non-Universal Higgs Mass Model

Shigeki Matsumoto

Collaborators

M. Asano (Tohoku Univ.)

M. Senami (Kyoto Univ.)

H. Sugiyama (Ritsumeikan Univ.)

new physics @ tera scale
New Physics @ Tera-scale

The Standard Model (SM) is one of the most successful models

describing physics below O(100) GeV. There are, however, some

problems that can not be explained in this framework.

~ Hierarchy Problem ~

Tree level mass (m02)

Quantum Corrections

mh2 =

+

O(102 GeV)2

O(10-2)L2

The cutoff scale L should be smaller than O(1) TeV.

~ Dark Matter Problem ~

No candidate for dark matter in the SM.

WIMP seems to be natural for the DM.

Neutral & Stable particle with O(1) TeV mass

 Cold DM & Correct Relic Density of DM!

New particle (dark matter) will be at O(1) TeV.

new physics @ tera scale1
New Physics @ Tera-scale

The Standard Model should be regarded as an effective field theory describing physics below 100 GeV.

New Physics appears at O(1) TeV, and it will solve the problems.

E (GeV)

New Physics scenarios!

Supersymmetric Scenario

Little Higgs Scenario

Extra-dimension Scenario

Gauge Higgs Scenario, etc.

SUSY scenario gives the solution to the both problems!

New Physics

@

1 TeV Scale

103

(10-16cm)

102

Which SUSY model we consider?

MSSM

Gauge sym: SU(3)×SU(2)×U(1)

Part. cont: Li, Ei, Qi, Di, Ui, H1, H2

Standard

Model

(10-15cm)

the light higgs scenario lhs
The Light Higgs Scenario (LHS)

We focus on the parameter region of the LHS!

Explaining the LEP anomaly [M. Drees, PRD71 (2005)]

Collider signals at the LHC [A. Belyaev, et.al., PRL100, (2008)]

Relaxing the little hierarchy Problem [S. G. Kim, et.al., PRD74, (2006)]

In the MSSM, there are two Higgs doublets:H1 & H2

For down-type quarks

For up-type quarks

CP-odd Scalars

Charged Scalars

the light higgs scenario lhs1
The Light Higgs Scenario (LHS)

We focus on the parameter region of the LHS!

Explaining the LEP anomaly [M. Drees, PRD71 (2005)]

Collider signals at the LHC [A. Belyaev, et.al., PRL100, (2008)]

Relaxing the little hierarchy Problem [S. G. Kim, et.al., PRD74, (2006)]

In the MSSM, there are two Higgs doublets:H1 & H2

For down-type quarks

For up-type quarks

CP-even Scalars

the light higgs scenario lhs2
The Light Higgs Scenario (LHS)

e

When

Radiativecorrection

+ D

e

Usual case

LHS case

sin

&

&

mA

D

mZ

D

mZ

h ~ η1

H ~ η2

h ~ η2

H ~ η1

All Higgs bosons are light!

SM-like Higgs boson!

constraints on the higgs sector of lhs
Constraints on the Higgs sector of LHS

~ Bound on mh~

Usual case (mA >> mZ)

h ~ η2

gZZh

(gZZh)MSSM~ (gZZh)SM

LEP bound on mh > 114.4 GeV

LHS case (mA~mZ)

h ~ η1

(gZZh)MSSM <<(gZZh)SM

No LEP bound!

Possible to explain the LEP Anomaly

constraints on the higgs sector of lhs1
Constraints on the Higgs sector of LHS

, H

The LEP limit is avoided for the Lightest Higgs boson (h)

The LEP limit is applied to the Heavy Higgs boson (H).

This mode is suppressed due to the P-wave production

as long as mA~mZ (mA is not too small.)

realization of the light higgs boson scenario
Realization of the Light Higgs Boson Scenario

Purpose: Dark Matter phenomenology in the LHS

Purpose: Dark Matter phenomenology in the LHS

MSSM has many parameters, so that it is difficult to handle with the model to explore the region realizing the LHS.

We have considered the NUHM (Non-universal Higgs Mass) model, which can realize the LHS. In this model, GUT relation on gaugino masses is assumed.

E (GeV)

m0, mH1, mH2, m1/2, A0, B, m

GUT

Parameters

m0, m1/2, A0,tanb, m, mA

Through RGEs

Masses of SUSY particles, Higgs masses, v, tanb, …

1 TeV

realization of the light higgs boson scenario1
Realization of the Light Higgs Boson Scenario

Constraints on NUHM

With the use of MCMC method, we have generated about

3.0 x 107 sample points which satisfy above constraints.

realization of the light higgs boson scenario2
Realization of the Light Higgs Boson Scenario

Contour of Maximal Likelihood P = exp(-c2/2)

The LHS Region

The NUHM model realize the LHS region of the MSSM!

realization of the light higgs boson scenario3
Realization of the Light Higgs Boson Scenario

Allowed Region on the input parameter space

100 GeV < m1/2 < 600 GeV

100 GeV < m0 < 1.9 TeV

7 < tan b < 19

93 GeV < mA < 113 GeV

200 GeV < m < 850 GeV

-3.5 TeV < A0 < 100 GeV

dm in the lhs
DM in the LHS
  • M. Asano, S. M., M. Senami, and H. Sugiyama, PLB663 (2008)
  • S.-G. Kim, N. Maekawa, K. I. Nagao, K. Sakurai, T. Yoshikawa, PRD78 (2008)
  • M. Asano, S.M., M. Senami, and H. Sugiyama, JHEP 1007 (2010)
  • What is the Dark Matter? (Ans.) The Lightest neutralino!
  • Composition of the DM? (Ans.) Almost Bino-like!
  • Mass of the DM? (Ans.) 50 GeV < mDM < 300 GeV

Contamination of higgsino components in the DM

(Bound on Chargino mass)

I. Chargino mass > LEP search

II. Chargino mass < Br(bsγ)

100 GeV < m1/2 < 600 GeV

dm in the lhs1
DM in the LHS

90% C.L. on SI cross section

arXiv:1005.0380

CDMSII

XENON100

XMASS

SuperCDMS

dm in the lhs2
DM in the LHS

Lower Bound!

sDM N >7 x 10-45 cm2

All higgs bosons are light.

dm in the lhs3
DM in the LHS

~ SUSY Little Hierarchy Problem ~

How severe fine-tuning is needed for the EW scale?

A few % fine-tuning is needed. (In CMSSM, typically 0.1%)

implication to the lhc
Implication to the LHC

LHS spectrum

Mass (GeV)

Spectrum is very similar to that of SPS1a’ except the Higgs sector.

1. Confirmation of the LHS by measuring a~ p/2.

2. Confirmation of the WIMP by measuring WDMh2.

summary discussions
Summary & Discussions
  • The Standard Model is the successful model to describe physics below the scale of O(100) GeV. However, there are some problems which can not been explained in this framework, and the existence of "New Physics” is expected to solve these problems naturally.
  • Many scenarios of the New Physics have been proposed so far, and supersymmetric scenario is one of the most attractive scenarios. In this talk, we have focused on the Light Higgs Boson Scenario (LHS) of the MSSM. It is shown that the NUHM model realizes the LHS.
  • One of interesting predictions of the LHS is coming from dark matter phenomenology. In this model, the mass of the dark matter is expected to be about 100 GeV, and its scattering cross section with a nucleon is about 10-44cm2. As a result, the dark matter in the LHS can be easily discovered in near future direct detection experiments.
  • Since almost all new particles are predicted to be light, it is interesting to consider signals of new physics at the LHC. It is also interesting to consider signals at the ILC, because higgs sector of the scenario can be explored carefully.
current status of higgs boson
Current Status of Higgs Boson

~ MSSM Higgs ~

Status of MSSM Higgs

MSSM Higgs Interactions

LEP collaboration have also analyzed

constraints on MSSM Higgs bosons

MSSM contains 2 Higgs doublets

 Higgs interactions can be different!

However, analysis have been performed

in some MSSM benchmark scenarios,

but not in all MSSM parameter space!

(The parameter space is too large!!)

~ some details of benchmarks ~

1. m and At term are fixed

in some specific values

2. mA & tanb are scanned

within specific ranges

tanb = ratio of vevs, a: mixing

The LEP limit may not be applied

to the MSSM Higgs bosons

current status of higgs boson1
Current Status of Higgs Boson

MSSM Benchmarks

For example, No Mixing case.

We can find the LHS region.

However, the LHS region is

only a part of the benchmark,

The choice of the parameter

space is not useful.