超对称条件下Bs ~-> K（*）-π ~+，K（*）-ρ ~+衰变的研究
Studying of Bs --> K(*)-pi+, K(*)-rho+ decays within supersymmetry
摘要：
CDF协作组的最新结果支持$B_s\rightarrow K^-π^+$衰变中的大CP不对称性，而标准模型的预测值非常小。此外，它的分支比的测量是低于标准模型的QCD因式分解的基础上的预测。在质量插入方法的框架下，计算了超对称性对$B_{s}\to K^{(*)-}π^{+}$、$K^{(*)-}ρ^{+}$衰变的贡献，发现对于$\frac{m^2_{\tilde{g}}}{m^2_{\tilde{q}}}\leq2$，包含LR和RL质量插入贡献的理论预测与$2σ$范围内的$B_s\to K^-π^+$衰变和$B^0-\bar{B}^0$混合的测量结果是一致的.利用约束LR和RL质量插入参数空间，研究了超对称质量插入对$B_{s}\to K^{*-}π^+, K^{-}ρ^+, K^{*-}ρ^+$衰变的分支比、直接CP不对称性和极化率的影响.我们发现，约束LR和RL插入可以提供相当大的贡献的分支比的$B_{s}\to K^{*-}π^{+}$，$K^{(*)-}ρ^{+}$以及直接CP不对称性和纵向极化的$B_{s}\to K^{*-}ρ^{+}$衰变没有冲突与所有相关的数据在$2σ$范围内。在不久的将来，费米实验室和欧洲核子研究中心LHC-b的实验可以测试我们的预测和收缩/揭示质量插入参数空间。
英文摘要：
Recent results from CDF Collaboration favor a large CP asymmetry in $B_s\rightarrow K^-π^+$ decay, while the Standard Model prediction is very small. Moreover, the measurement of its branching ratio is lower than the Standard Model prediction based on the QCD factorization. We compute the gluino-mediated supersymmetry contributions to $B_{s}\to K^{(*)-}π^{+}$,$K^{(*)-}ρ^{+}$ decays in the frame of the mass insertion method, and find that for $\frac{m^2_{\tilde{g}}}{m^2_{\tilde{q}}}\leq2$, the theoretical predictions including the LR and RL mass insertion contributions are compatible with the measurements of $B_s\to K^-π^+$ decay and $B^0-\bar{B}^0$ mixing within $2σ$ ranges. Using the constrained LR and RL mass insertion parameter spaces, we explore the supersymmetry mass insertion effects on the branching ratios, the direct CP asymmetries and the polarization fractions in $B_{s}\to K^{*-}π^+, K^{-}ρ^+, K^{*-}ρ^+$ decays. We find the constrained LR and RL insertions can provide sizable contributions to the branching ratios of $B_{s}\to K^{*-}π^{+}$,$K^{(*)-}ρ^{+}$ as well as the direct CP asymmetry and the longitudinal polarization of $B_{s}\to K^{*-}ρ^{+}$ decay without conflict with all related data within $2σ$ ranges. Near future experiments at Fermi Lab and CERN LHC-b can test our predictions and shrink/reveal the mass insertion parameter spaces.
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