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SUSY and B physics observables

Yasuhiro Okada (KEK)

Super B Factory Workshop in Hawaii, April 20, 2005

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Goals of Super B Factory

Main purpose of B physics at a Super B Factory is to search for new physics effects in flavor-mixing and CP violation.

In order to identify a new physics model, we need to determine a pattern of deviation from the SM predictions in various observables.

There are several ways to look for new physics effects in B decays.

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New Physics in the LHC era Some signals of new physics

may be obtained at early stage of LHC.

(SUSY, Large extra dim. etc) Important to consider

impacts of B physics to LHC physics, and vice verse.

In general, correlations among various areas are important to figure out what is new physics.

B physics

LHC LC

LFVEDM

Muon g-2K physics

Charm physics

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2003 SLAC WS Proceedings

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SUSY in the LHC era

Squark and gluino with masses up to 2-3 TeV can be discovered.

If a hint for SUSY is found at LHC, we would like to know:

Is it really SUSY?

Is it MSSM?, SUSY GUT?

What is SUSY breaking mechanism? Flavor physics will play important roles.

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SUSY and Flavor Physics SUSY models introduce SUSY partners. Squark mass matrixes are new sources of flavor mixing a

nd CP violation. Squark masses depend on SUSY breaking terms.

Quark mass

Squark mass

Diagonal term: LHC/ILC

Off-diagonal term: Flavor exp

SUSY breaking terms

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Origin of SUSY breaking(mSUGRA, AMSB, GMSB,

Flavor symmetry, etc.)

SUSY breaking terms at the Mw scale(squark, slepton, chargino, neutralino, gluino masses)

Renormalization(SUSY GUT, neutrino Yukawa couplings etc.)

Squark mass matrixes carry information on the SUSY breaking mechanism and interactions at the GUT scale.

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Different assumptions on the SUSY breaking sector

SUSY breaking

Minimal Flavor Violation (ex. mSUGRA)

SUSY GUT with see-saw neutrinos

Flavor symmetry

Effective SUSY

etc.

How to distinguish these models from B factory observables?

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mSUGRA, SU(5) SUSY GUT,U(2) Flavor symmetry Comparison of SUSY effects on unitarity triangle an

d rare B decay observables in three SUSY models.

1. Minimal supergravity model (mSUGRA)

2. SU(5) SUSY GUT with right-handed neutrino (RHN)

2-1. degenerate RHN case ( -> e large)

2-2. non-degenerate RHN case ( -> e suppressed)

3. MSSM with U(2) flavor symmetry

T.Goto, Y.Okada, Y.Shimizu, T.Shindou, and M.Tanaka

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Unitarity triangle mSUGRA

U(2) FS

Inconsistency among A_CP(B->J/Ks), m(Bs), 3 () and K in SUSY GUT with the degenerate RHN case.=> A large SUSY contribution in the CPV of K-K mixing.

SU(5) GUTDegenerate

SU(5) GUTNon-degenerate

SU(5) GUT with see-saw neutrino

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Mixing-induced CP asymmetries in B Ks and BK*

A_CP(B Ks) A_CP( B K*

Large CPV in Ks and K* for the SUSY GUT with non-degenerate RHN.

b s

x

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B physics signals for benchmark parameters (SPS)

SPS 3

SPS 1aSPS 1b SPS2

SPS (Smowmass Points and Slops) are benchmark SUSY parameter sets based on the mSUGRA model.We calculate flavor observables in the SUSY GUT model for 4 SPS lines.

Typical parametersSPS 1a, SPS 1b

Dark matter motivated regionSPS 2 Focus pointSPS 3 Stau co-annihilation region

M.Battaglia, et al, 2001

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A large SUSY contributionstoK in SPS 3 (Focus point )for t he SUSY GUT withthe degenerate RHN case.

Typical mass spectrumGluino:< a few TeVChargino, neutralino: lightSquark: heavy

Gluino mass

SUSY GUT with degenerate RHN

SPS 1a SPS 1b

SPS 2 SPS 3

T.Goto, Y.Okada, Y.Shimizu, T.Shindou, and M.Tanaka

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Higgs exchange effects in a minimal flavor violation (MFV) Even in the case with MFV, ex mSUGRA, a larg

e deviation from the SM is possible for a large value of two vacuum expectation values (tan )

The tree-level charged Higgs boson exchange in B Dand B

Loop-induced FCNC coupling in Bs and b->sll.

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Tauonic B decay, B->DB->

H

b c(u)

-

b c(u)

W +

H.Itoh, S.Komine, Y.Okada

B->D

SUSY loop correctionsto the Higgs vertex

tan =50

Charged Higgs mass

B(B->Dvs.BB->

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Comparison with charged Higgs boson search at LHC

K.A.Assamagan, Y.Coadou, A.Deandrea

Parameter reach overlaps with the heavy Higgs boson search at LHC

B-> H-b-u coupling B->D H-b-c couplinggb->tH: H-b-t coupling

Test of “universality” of thecharged Higgs coupling

Super B Factory

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Bs->vs. B->K/B->Keesb

Loop-inducedFCNC Higgs couplingfor large tan

A.Dedes and B.T.Huffman

G.Hiller and F.Kruger

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Effective SUSY If only 3rd generation squarks are light, a large SUSY effects are

possible in B decay processes such as the direct CPV in b->sand B(b->sll) .

B(b->s ) vs. B(b->s )mSUGRAEffective SUSY

S.Baek and P.Ko T.Goto,Y.Okada,Y.Shimizu

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Direct CP violation in b->s process

Effective SUSYmSUGRA

Light chargino mass

10% for effective SUSY A few % for mSUGRA

S.Baek and P.Ko

T.Goto,Y.Keum,T.Nihei,Y.Okada,Y.Shimzu

A_CP vs.nEDM

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Pattern of New Physics effects

SUSY

Large Extra Dimensionmodel

Different pattern of the deviations from the SM prediction.Correlation with other physics observables.

2003 SLAC WS Proceedings

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Summary If SUSY is realized in Nature, LHC is likely to provide so

me evidence. Then, determination of the SUSY breaking sector becomes one of the most important questions.

B physics is essential for determining the flavor structure of SUSY breaking terms.

There are a variety of ways to look for SUSY effects in B decays.

In order to distinguish different SUSY models, we need to see pattern of deviations from the SM predictions in various processes. For this purpose, a Super B factory is necessary along with hadron B experiments.

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Buck up slides

23Super KEKB LoI

Correlation between time-dependent asymmetries of B->Ks and B->K*

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Direct CP violation in b->s for three SUSY models

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Pattern of the deviation from the SM predictions for three SUSY models.

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Possible deviations from the SM forSPS parameters in SU(5) GUT with RHN

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Differential branching ratio and FB asymmetry in b->sll