Probing the R-parity Violating Supersymmetry Effects in Ru-Min Wang Henan Normal University Huazhong Normal University In collaboration with: Yuan-Guo Xu & Ya-Dong Yang Oct 28, 2006, Guilin

Outline Motivation Theoretical input summary NEXT

Motivation FCNC transitions are sensitive to NP contr-ibutions, especially in b->s transitions New physics will be chased at LHC in loop B decays.

Previous analysis of NP We try to calculate RPV SUSY effects . The two-Higgs doublet model (2HDM) Yuan-Ben Dai et al, Phys.Lett.B390,257(1997). Chao-Shang Huang et al., Phys.Rev.D63,114021(2001). C. Bobeth et al, Phys.Rev.D64,074014(2001). G. Erkol and G. Turan, Nucl.Phys.B635,286(2002). S. Schilling et al., Phys.Lett.B616,93(2005). The supersymmetric model (SUSY) A. Ali et al., Phys.RevD61,074024(2000). E. Lunghi et al., Nucl.Phys. B568,120(2000). D. A. Demir et al, Phys.Rev. D66,034015(2002). Chao-Shang Huang and Xiao-Hong Wu, Nucl.Phys.B657,304(2003). S. R. Choudhury et al, Phys.Rev. D69,054018(2004). The top quark two-Higgs doublet model (T2HDM) Zhen-jun Xiao and Lin-xia Lu, Phys. Rev.D74,034016(2006). We try to calculate RPV SUSY effects .

Using the latest data to obtain the new upper limits on the relevant RPV couplings. Using the constrained RPV couplings to examine the RPV effects on Comparing the SM predictions with the RPV predictions about

Outline Motivation Theoretical input Summary NEXT

The Standard Model =u,d EM,Z0 penguins W box

A.Ali et al., Phys.Rev.D61,074024(2000).

R-parity Violating SUSY S is the particle spin B is the baryon number L is the lepton number R-parity violating superpotential: : Yukawa couplings i, j,k : generation indices C : charge conjugate field

Feynman diagrams in RPV SUSY sneutrino exchange squark exchange s-channel t-channel

Effective Hamiltonian in RPV SUSY squark exchange sneutrino exchange sneutrino exchange

Outline Motivation Theoretical input Summary NEXT hep-ph/0610338

Experimental data

To constrain RPV couplings The experimental data of the branching ratios constrain The relevant RPV coupling products

Constraned parameter spaces

Upper limits from RPV mSUGRA at MGUT scale

RPV SUSY predictions predict

Regions of predictions squark exchange sneutrino exchange

Features of the numerical results

l=e [0.00,0.29] , l=mu [0.02,0.76] Phys.Rev.D73,092001(2006). Phys.Rev.Lett.96,092001(2006).

<=0.76 <=0.29

2x10^-7 10^-7

2x10^-7 10^-7

Outline Motivation Theoretical input Summary NEXT

Summary Derived new upper bounds on relevant RPV couplings with the latest experimental data of their branching ratios. These predictions could be tested at LHC.

Thanks!