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SUSY breaking studies

Yasuhiro Okada (KEK)

December 18, 2006

BNMII, Nara Women’s Univ.

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New physics search at Super B factory Progress in understanding the electroweak symmetry br

eaking physics is expected in the LHC era. Electroweak symmetry breaking requires dynamics beyo

nd 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.

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SUSY in Super B factory era LHC experiments will be a crucial test for exist

ence 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

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Role of Flavor Physics Determine flavor structure of squark mass matrices. (New flavor mixing and new CP phases.) Quark mass -> Yukawa coupling Squark mass

-> SUSY breaking terms

SUSY breaking terms depend on SUSY breaking mechanism and interaction at the GUT/Planck scale.

Diagonal tem: LHC/LCOff diagonal term: Flavor Physics

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B physics in three SUSY modelsT.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

3. MSSM with U(2) flavor symmetry

Observables Bd-Bd mixing, Bs-Bs mixing. CP violation in K-K mixing (). Time-dependent CP violation i

n B ->J/Ks, B->Ks, B->K* . Direct CP violation in b->s .

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Minimal supergravity model

All squarks are degenerate at the Planck scale. Flavor mixings and mass-splittings are induced by renor

malization. 　 Flavor mixing in the dL sector. As a consequence,

The CKM matrix is the only source of flavor mixing.　 SUSY CP phases (A-term, term) constrained by EDM experiments.

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

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SU(5) SUSY GUT with right-handed neutrino Large flavor mixing in the neutrino sector can

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

Correlation with LFV processes (e, etc) is important.New CP phases in the GUT embedding. (T.Moroi)

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;….

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The LFV constraint depends on neutrino parameters

)2/sin(1 22 vyM

ymR

TNeutrino mass

LFV mass terms for slepton (and sdown).

Two cases considered for MR.

(1)Degenerate case

(MR )ij= M ij

Severe >econstraint

(2) Non-degenerate case

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

8/)/ln()||3()()( 20

2Rp

ijijL MMAyym

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MSSM with U(2) flavor symmetry 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

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; ….

10A(B->J/Ks)

m(B

s)/

m(B

d)

mSUGRA

SU(5) GUTDegenerate

SU(5) GUTNon-degenerate

U(2) FS

•Small deviation in mSUGRA.• Bd unitarity triangle is closed,

but K 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.

Unitarity triangle

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CP asymmetries in B Ks and bs

Direct asymmetry in b s

CP asymmetry in B Ks

CP asymmetry in B K*

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Update 2006 (preliminary results)

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

(CDF) Many technical improvements concerning radiat

ive corrections at the SUSY scale.

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

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Unitarity triangle The Bs mixing constrai

nt is strong. Survival points are red

uced due to a slight tension between |Vub| and sin21 measurements

SU(5) GUTDegenerate

SU(5) GUTNon-degenerate

U(2) FS

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Difference between the Bd mixing angle and real 21 　 :U(2) case 　

Need to determine |Vub| and 3 at a few % level to distinguish thisdifference.

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S(Ks)-S(J/ Ks)SU(5) GUTDegenerate

SU(5) GUTNon-degenerate

Difference can be 10-20 % for SU(5) GUT with non-degenerate caseand the U(2) model.

U(2) FS

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Direct and mixing induce asymmetry in b to s

CP asymmetry in B K*

Direct asymmetry in b s A few%

10-20 %SU(5) GUTDegenerate

SU(5) GUTNon-degenerate U(2) FS

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CP violating phase in the Bs mixing

S(Bs->J/) can deviate from the SM by 5-10% for SU(5) GUT with non-degenerate case and the U(2) model.

SU(5) GUTDegenerate

SU(5) GUTNon-degenerate U(2) FS

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Tau and muon lepton flavor violation LFVs are processes that limit the parameter space.

SU(5) GUTDegenerate

SU(5) GUTNon-degenerate

U(2) FS

->e ->eand->->eand->

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Electric dipole momentsNeutron and Hg electric dipole moments are other important limiting processes.Although theoretical uncertainty is still large, EDM is a promising signal formodels of 2-3 mixing of right-handed squark .

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) .

U(2) FSSU(5) GUTNon-degenerate

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Bd- unitarity

Triangle test

T-dep CPV

in B->Ks,

B->K*

b->s direct CP

T-dep CPV

in Bs->J/LFV EDM

mSUGRA _ _ _ _ _ _

SU(5)SUSY GUT + R

(degenerate)

_ _ _ _ ->e _

SU(5)SUSY GUT + R

(non-degenerate)

_ <O(10%) _ <~5% ->e->

nEDM

U(2) Flavor symmetry

< a few %

<O(10%) < a few %

<~5% ->e>

nEDM

Summary of possible deviations from the SM prediction

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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.