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New physics search at Super B factory

- Progress in understanding the electroweak symmetry breaking physics is expected in the LHC era.
- Electroweak symmetry breaking requires dynamics beyond three known gauge interactions, so that we expect something new at the TeV scale.
- Effects of new physics may appear in flavor physics observables. In order to distinguish various models, we need to study pattern of the deviations from the standard model predictions in many observables.
- Advantage of the planned super B factory is that there are several qualitatively different observables.
- For new physics search, correlations among quark flavor physics, lepton flavor physics and flavor-diagonal CP violation become important.

SUSY in Super B factory era

- LHC experiments will be a crucial test for existence of SUSY. (Squark/gluino mass reach ~ 2 -3TeV, A light Higgs boson)

- Mass spectrum from LHC and ILC will provide a hint for a SUSY breaking scenario.

G.A.Blair, W.Porod, and P.M. Zerwas

Role of Flavor Physics

- Determine flavor structure of squark mass matrices.

(New flavor mixing and new CP phases.)

- Quark mass -> Yukawa couplingSquark mass -> SUSY breaking terms
- SUSY breaking terms depend on SUSY breaking

mechanism and interaction at the GUT/Planck scale.

Diagonal tem: LHC/LC

Off diagonal term:

Flavor Physics

B physics in three SUSY models

T.Goto, Y.O. Y.Shimizu, T.Shindou, and M.Tanaka, 2002,2003

and Super KEKB LoI

- In order to illustrate a potential of B physics in exploring flavor structure of SUSY breaking, we calculate various observables in three SUSY models.

- Models
- 1. Minimal supergravity model
- 2. SU(5) SUSY GUT with right-handed neutrino
- MSSM with U(2) flavor symmetry

Observables

- Bd-Bd mixing, Bs-Bs mixing.
- CP violation in K-K mixing (e).
- Time-dependent CP violation in B ->J/yKs, B->fKs, B->K*g .
- Direct CP violation in b->s g.

Minimal supergravity model

S.Belrolini, F.Borzumati, A.Masiero, and G.Ridorfi, 1991, …..

- All squarks are degenerate at the Planck scale.
- Flavor mixings and mass-splittings are induced by renormalization. Flavor mixing in the dL sector.
- As a consequence,

The CKM matrix is the only source of flavor mixing.

SUSY CP phases (A-term, m-term) constrained by

EDM experiments.

SU(5) SUSY GUT with right-handed neutrino

S.Baek,T.Goto,Y.O, K.Okumura, 2000,2001;T.Moroi,2000; N.Aakama, Y.Kiyo, S.Komine, and T.Moroi, 2001, D.Chang, A.Masiero, H.Murayama,2002; J.Hisano and Y.Shimizu, 2003;….

- Large flavor mixing in the neutrino sector can be a source of flavor mixing in the right-handed sdown sector.

Correlation with LFV processes (m -> eg, etc) is important.

New CP phases in the GUT embedding. (T.Moroi)

(2) Non-degenerate case

m ->eg suppressed

The LFV constraint depends on neutrino parameters

Neutrino mass

LFV mass terms for slepton (and sdown).

Two cases considered for MR.

- Degenerate case
- (MR )ij= M dij
- Severe m->eg constraint

(Casas and Ibarra, Ellis-Hisano-Raidal-Shimizu)

MSSM with U(2) flavor symmetry

A.Pomarol and D.Tommasini, 1996; R.Barbieri,G.Dvali, and L.Hall, 1996; R.Barbieri and L.Hall;

R.Barbieri, L.Hall, S.Raby, and A.Romonino; R.Barbieri,L.Hall, and A.Romanino 1997;

A.Masiero,M.Piai, and A.Romanino, and L.Silvestrini,2001; ….

- The quark Yukawa couplings and the squark mass terms are governed by the same flavor symmetry.
- 1st and 2nd generation => U(2) doublet

3rd generation => U(2) singlet

Unitarity triangle

mSUGRA

- Small deviation in mSUGRA.
- Bd unitarity triangle is closed,
- but eK has a large SUSY
- contribution in SU(5) GUT for
- the degenerate MR case.
- Bs mixing receives SUSY
- effects for the non-degenerate
- case.
- Various SUSY contributions
- for the U(2)flavor symmetry
- model.

SU(5) GUT

Degenerate

Dm(Bs)/Dm(Bd)

SU(5) GUT

Non-degenerate

U(2) FS

f3

A(B->J/yKs)

CP asymmetries in B ->f Ks and b-> sg

CP asymmetry

in B ->f Ks

CP asymmetry

in B -> K*g

Direct asymmetry

in b -> s g

Update 2006 (preliminary results)

T.Goto, Y.O., T.Shindou, and M.Tanaka

- We have taken into account the new measurement of the Bs mixing .

(CDF)

- Many technical improvements concerning radiative corrections at the SUSY scale.

Unitarity triangle

SU(5) GUT

Degenerate

- The Bs mixing constraint is strong.
- Survival points are reduced due to a slight tension between |Vub| and sin2f1 measurements

SU(5) GUT

Non-degenerate

U(2) FS

Difference between the Bd mixing angle and real 2f1:U(2) case

Need to determine |Vub| and f3 at a few % level to distinguish this

difference.

S(f Ks)-S(J/y Ks)

SU(5) GUT

Non-degenerate

SU(5) GUT

Degenerate

U(2) FS

Difference can be 10-20 % for SU(5) GUT with non-degenerate case

and the U(2) model.

Direct and mixing induce asymmetry in b to sg

Direct asymmetry in b -> s g

A few%

CP asymmetry in B -> K*g

10-20 %

SU(5) GUT

Degenerate

SU(5) GUT

Non-degenerate

U(2) FS

CP violating phase in the Bs mixing

SU(5) GUT

Degenerate

SU(5) GUT

Non-degenerate

U(2) FS

S(Bs->J/yf) can deviate from the SM by 5-10% for SU(5) GUT with

non-degenerate case and the U(2) model.

Tau and muon lepton flavor violation

LFVs are processes that limit the parameter space.

SU(5) GUT

Degenerate

SU(5) GUT

Non-degenerate

U(2) FS

m->eg

m->eg and t->mg

m->eg and t->mg

Electric dipole moments

Neutron and Hg electric dipole moments are other important limiting processes.

Although theoretical uncertainty is still large, EDM is a promising signal for

models of 2-3 mixing of right-handed squark .

SU(5) GUT

Non-degenerate

U(2) FS

Stronger constraints are obtained if we use the estimation of the neutron EDM

from the strange quark chromomagentic moment in the chiral perturbation theory

(J. Hsano and Y. Shimizu, 2004) .

Summary

- We have updated the study of the flavor signals in three SUSY models.
- The measurement of the Bs mixing have already put strong constraints on possible deviations especially for b-s transition processes. Although the pattern of the deviations is similar to the previous case, numerical values are somewhat more constrained.
- Quark flavor signals, Lepton flavor violation and EDM are correlated differently for each case, so that improvements in all processes are important.

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