Studying Supersymmetry Effects In Two-body Non-leptonic B_s Decays

Bs physics attracts widespread physicists' attention and endeavor, and that is creditable for the below reasons. It is available to imply strong interaction at the very short distance; it serves a tool to precisely study some physics phenomena, such as CP violation, rare decay as well as certain processes relevant to flavor changing neutral current; it provides the likelihood to explore New Physics by researching the existing Indirect signals beyond Stand model (SM) in the means of B physics. In recent years,the Bs physics has been researched by D(?) in the tevatron and CDF collaboration of Fermilab. More importantly, Europe Large Hadrons Collider has been successfully running since the end of 2009. LHC-b, a part of LHC, is specially designed to meet the need of testing B physics, and great number Bs mesons could be produced in it. Therefore, it is crucial and will be a trend to study rare decays of Bs mesons in next few years.The standard model has been the most successful theories of Particle Physics since it estab-lishment. However, there are still many problems to weaken it. To improve the particle physics theory, many physicists present some new physics model beyond Stand Model. The Supersymme-try(SUSY) model is so attrative as they fit the electroweak restrictions of accurate measurement well. In the thesis, we systematically studied the The Supersymmetry effects in two-body non-leptonic decays of Bs mesons on the basis on SUSY in two circumstances-R-parity breaking and conservation. In this thesis, at the first, we give a brief review about the SM, the SUSY, the B mesons weak decays, and common methods to handle with Bs non-leptonic decays. Then, we study the gluino-mediatted SUSY effects in the nonleptonic Bs→κ(*)-π+,κ(*)-ρ+decays and the SUSY effects with R-parity violation in the nonleptonic Bs→κ(*)-π+,κ(*)-ρ+,κ(*)-κ(*)+ decays. We find that the large CP violation and small branching ratio of Bs→κ-π+decay which measured by CDF Collaboration of Fermilab could be explained. We derive the new bounds on the relevant parameters of Mass Insertion and RPV couplings from the latest experimental data, and some of these constraints (Particular phase of the bounds) are stronger than the existing bounds. Using the constrained parameter spaces, we predict the SUSY effects on the other observations quantities of those decays which have not been measured or not been well measured yet. We find that certain observables are very sensitive to the effect of SUSY. The consequences obtained in these studies are useful probing the SUSY effects and searching the indirect singles of SUSY at LHC. The upcoming experiments will test these predictions and provide more strict restriction the relevant parameter of New Physics.