Probe R-parity Violating Supersymmetry Effects In Rare B-meson Decays

The Standard Model (SM) of elementary particles is a theory based on the gauge group of SU(3)_C (?) SU(2)_L (?) U(1)_Y, which purports to describe the strong and electroweak interactions of fundamental particles. During the past 30 years, it has survived assorted experimental tests extensively. However, the SM itself is not perfect, there exist some problems that have not yet been solved reasonably. Between experimental and theoretical results, there are still some discrepancies by and large. All these inconsistencies may indicate that the SM is not an ultimate theory, which will provide room for developing new physics beyond the SM. A key reason that physicists pay attention to heavy flavor physics, particularly to B physics, is the potential insight it offered into the physics of strong interactions at very short distances. In particular, it is believed to be a good place to study phenomena such as CP violation, rare decays, and flavor changing neutral current processes with high precision. It will also provide proof of the existing signals of whatever theory lies beyond the SM.Among those new physics models that survived electroweak data, one of the most respectable options is the Supersymmetry (SUSY). The possible appearance of the R-parity violating (RPV) couplings, which will violate the lepton and baryon number conservation, has gained full attention in searching for the SUSY. In this thesis, we study the weak decays of B mesons in the RPV SUSY. We first give a brief review on the SM, the SUSY and the B meson weak decays. Then, we study the effects of the RPV SUSY on the nonleptonic B decays, the semi-leptonic B decays B→K^*e⁺e⁺, the pure-leptonic B_? decays B_?→e⁺e^- and the B_?⁰ - B|-(?)⁰ mixings. We derive the new bounds on the relevant RPV couplings from the latest experimental data, and some of these constraints are stronger than the existing bounds. Using the constrained parameter spaces, we predict the RPV effects on the other quantities which have not been measured or not been well measured yet. We find that the RPV effects on some observations could be large, these results could be useful for probing the RPV SUSY effects and will correlate strongly with searches for direct RPV signals at LHC. Near future experiments can test these predictions and shrink the parameter spaces.