B physics and supersymmetry with general flavor mixing 特定領域「フレーバー物理の新展開」研究会２００９ @ 蒲郡 B physics and supersymmetry with general flavor mixing Ken-ichi Okumura (Tohoku University) In collaboration with John Foster and Leszek Roszkowski Based on hep-ph/0604121, hep-ph/0510422, hep-ph/0506146, hep-ph/0410323

Plan of talk Introduction Supersymmetry with general flavor mixing b-s transitions Conclusion

The SM: CKM paradigm

Why Supersymmetry ? SM S.P.Martin (1997) MSSM

Supersymmetry doubles flavor Soft mass Tri-linear term Gaugino mass

Minimal flavor violation (MFV) Super CKM basis

General Flavor Mixing

Origin of flavor mixing Ex) Seesaw mechanism Large flavor mixing （MSN matrix) “Probe of GUT scale int.” SUSY GUT Radiative correction S.Baek, T.Goto Y.Okada KO (2000)

Collider vs flavor physics LHC SUSY Lagragian Mass spectrum Flavor Physics ! mixing Complementary each other

b →s transitions

NP effects interfere with the SM M.Misiak&M.Steinhauser (2006) NP effects interfere with the SM GFM Add MFV

MFV

Not diagonal ! SUSY KO and L.Roszkowski (2001)

Higgs mediated FCNC Integrate out SUSY particles Non-holomorphic NG :Flavor diagonal

J.Foster, KO, L.Roszkowski (2005)

P.Ball and R.Fleischer (2006) Lattice CKM angle & side

MFV

All combined : single insertion

CP violation in CKMfitter UTfit

Conclusion We reported current limits on flavor mixing in b-s transitions in minimal supersymmetry (beyond leading order+Higgs mediated). Constraint from Bs mixing is quite severe for RR and RL mixing at moderate-large tanβ（～３０）despite relatively large theoretical uncertainty.　 Precision measurement of Φ3 + Bs mixing can improve the bound (or find NP) as well as BR(Bs→μμ). Low tanβ　region can be covered by tCPV in radiative decay. Combined with the spectrum measurement, such a measurement provides a clue to high energy scale.