RuMin Wang Henan Normal University Huazhong Normal University

Ru-Min Wang Henan Normal University Huazhong Normal University In collaboration with: Yuan-Guo Xu & Ya-Dong Yang Oct 28, 2006, Guilin

Outline Ø Motivation NEX T Ø Theoretical input Ø Ø summary 2

Motivation Ø FCNC transitions are sensitive to NP contributions, especially in b->s transitions l Ø New physics will be chased at LHC in loop B decays. l l 3

Previous analysis of NP Ø The two-Higgs doublet model (2 HDM) l l l Yuan-Ben Dai et al, Phys. Lett. B 390, 257(1997). Chao-Shang Huang et al. , Phys. Rev. D 63, 114021(2001). C. Bobeth et al, Phys. Rev. D 64, 074014(2001). G. Erkol and G. Turan, Nucl. Phys. B 635, 286(2002). S. Schilling et al. , Phys. Lett. B 616, 93(2005). Ø The supersymmetric model (SUSY) l l l A. Ali et al. , Phys. Rev. D 61, 074024(2000). E. Lunghi et al. , Nucl. Phys. B 568, 120(2000). D. A. Demir et al, Phys. Rev. D 66, 034015(2002). Chao-Shang Huang and Xiao-Hong Wu, Nucl. Phys. B 657, 304(2003). S. R. Choudhury et al, Phys. Rev. D 69, 054018(2004). Ø The top quark two-Higgs doublet model (T 2 HDM) l Zhen-jun Xiao and Lin-xia Lu, Phys. Rev. D 74, 034016(2006). We try to calculate RPV SUSY effects. 4

Ø Using the latest data to obtain the new upper limits on the relevant RPV couplings. Ø Using the constrained RPV couplings to examine the RPV effects on Ø Comparing the SM predictions with the RPV predictions about 5

Outline Ø Motivation Ø Theoretical input NEX T Ø Ø Summary 6

The Standard Model EM, Z 0 penguins =u, d W box 7

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A. Ali et al. , Phys. Rev. D 61, 074024(2000). 9

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 10

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

Effective Hamiltonian in RPV SUSY squark exchange sneutrino exchange

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Outline Ø Motivation Ø Theoretical input NEX T Ø Ø Summary hep-ph/0610338 18

Experimental data 19

To constrain RPV couplings The experimental data of the branching ratios constrain The relevant RPV coupling products 20

Constraned parameter spaces 21

Upper limits from RPV m. SUGRA at MGUT scale

RPV SUSY predictions predict 23

Regions of predictions squark exchange sneutrino 24

Features of the numerical results

l=e [0. 00, 0. 29] , l=mu [0. 02, 0. 76] Phys. Rev. D 73, 092001(2006). Phys. Rev. Lett. 96, 092001(2006). 26

<=0. 29 <=0. 76

2 x 10^7

2 x 10^7

Outline ØMotivation ØTheoretical input Ø ØSummary NEX T 30

Summary Ø l Derived new upper bounds on relevant RPV couplings with the latest experimental data of their branching ratios. l l Ø These predictions could be tested at LHC. l l 31

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