Tauonic B decay in a supersymmetric model

1. Tauonic B decay in a supersymmetric model YITP workshop:Progress in Particle Physics 2004.6.30 Hideo Itoh (KEK, Ibaraki univ.) in collaboration with S.Komine(KEK), Y.Okada(KEK)

2. 1: Introduction We want to probe the evidence of new physics 2HDM, SUSY, GUT… Including two Higgs doublet Many candidates beyond the SM If we can probe charged Higgs effects on B physics Indirect signal of the new physics

3. Charged Higgs provide large contribution Contributing diagram We can probe charged Higgs effect in the (M.Tanaka:1994, J.A.Coarasa, R.A.Jimenez, J.Sora:1997, G.H.Wu, K.Kiers, J.N.Ng:1997 …)

4. It becomes mass correction for the bottom quark mass Also, if we consider a supersymmetric model Appear the SUSY corrections for Yukawa sector After EW symmetry breaking (K.S.Babu & C.Kolda, M.Carena, et al) This affects branching ratios for some processes! (ex. BS→μμ , etc …)

5. We will probe the super B factory We also include additional tau mass corr. We estimated these effects for the following two processes B￫DτνandB￫τν Super B factory: The luminosity is 50-100 times more than the current achieved luminosity.

6. In this talk We will show the following contents SUSY corrections for B￫DτνandB￫τν in our framework. Numerical results and Conclusions. Summary.

7. Different type of the tree level Yukawa couplings are induced SUSY effects through 1-loop diagram. 2: Formalism (A.Dedes & A.Pilaftsis) Tree level Yukawa coupling have the same structure of the superpotential. Our framework: MSSM with MFV and large tanβ

8. 1-loop diagram for 1-loop diagram for are 1-loop induced coupling constant

9. negligible negligible Our calculating flow 1:Assumed MFV 2:Calculated the gluino and charged higgsino and bino diagrams. 3:Estimated mass matrices that including SUSY corrections. 4:Diagonalized mass matrices. 5:Derived charged Higgs couplings. Results 1: 2:higgsino cont. is suppressed by

10. Charged Higgs couplings

11. Contribution of the loop diagrams

12. Therefore, 4-Fermi effective Lagrangian forB￫Dτυ process

13. Hadronic matrix elements for Decay amplitude

14. Differential partial width for

15. Therefore, 4-Fermi effective Lagrangian forB￫τυ process

16. Hadronic matrix elements for Decay width

17. 3: Numerical results For correction matrices We estimated the correction matrices against several value of the SUSY parameter. There is parameter region that tau mass correction becomes comparable with the bottom mass correction. So if we estimate the branching ratio without tau mass correction, we mislead the results.

18. For correction matrices μ=-400GeV μ=400GeV

19. Super B factory 5ab-1 : 7.9% 50ab-1: 2.5% } Expected uncertainties in the measured Br. 3: Numerical results In B￫Dτνprocess For branching ratio No experimental data SM prediction: Br～8×10-3

20. Form factor is canceled by taking ratio B￫Dτνand B￫τν. Theoritical uncertainty becomes small. Branching ratio for B￫Dτν tanβ=50 tanβ=30 SUSY cor. case at μ = -400GeV SUSY cor. case at μ = 400GeV SM pred. SUSY cor. case at μ = 400GeV SM pred. SUSY cor. case at μ = -400GeV No SUSY cor. case No SUSY cor. case We can see that loop correction affects for tree diagram drasticaly.

21. Decay constant : In B￫τνprocess SM prediction: Br = 0.9×10-4 From BaBar : Br < 4.1×10-4 Super B factory will be sensitive to SM rates Expected 4σ significance at 2 ab-1

22. Branching ratio for B￫τν tanβ=30 tanβ=50 SUSY cor. case at μ = -400GeV SUSY cor. case at μ = -400GeV No SUSY cor. case SUSY cor. case at μ = 400GeV SM pred. SM pred. No SUSY cor. case SUSY cor. case at μ = 400GeV We can see that loop correction affects for tree diagram drastically too.

23. We show the correlation between these two processes μ= - 400GeV μ= 400GeV We choose the charged Higgs mass as variable, 150～400GeV.Since we assumed MFV, these correlation appears. It is important to investigate the both processes.

24. -30% -20% -20% -40% SM pred. SM pred. SM pred. Contour plot for several cases for B￫Dτν No SUSY corr. lowest -10% μ=400GeV μ=-400GeV -30% -40% lowest -10% -40% -30% -20% -10%

25. Contour plot for several cases for B￫τν No SUSY corr. Exp. bound lowest -10% SM pred. 10% 20% 30% } Exp.bound μ=-400GeV μ=400GeV -80% lowest 200% -70% SM pred. -90% -90% -60% lowest -50% -40% -30%

26. 4:Summary TheB￫Dτυ and B￫τυ processes on the MSSM that assumed MFV and large tanβ. SUSY corrections for the bottom and the tau mass. SUSY loop correction is very large. and There is parameter region where corrections due to tau mass and bottom mass become comparable. So tau mass correction is important.