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Recent results from CDF Collaboration favor a large CP asymmetry in$B_s\rightarrow K^-\pi^+$ decay, while the Standard Model prediction is verysmall. Moreover, the measurement of its branching ratio is lower than theStandard Model prediction based on the QCD factorization. We compute thegluino-mediated supersymmetry contributions to $B_{s}\toK^{(*)-}\pi^{+}$,$K^{(*)-}\rho^{+}$ decays in the frame of the mass insertionmethod, and find that for $\frac{m^2_{\tilde{g}}}{m^2_{\tilde{q}}}\leq2$, thetheoretical predictions including the LR and RL mass insertion contributionsare compatible with the measurements of $B_s\to K^-\pi^+$ decay and$B^0-\bar{B}^0$ mixing within $2\sigma$ ranges. Using the constrained LR and RLmass insertion parameter spaces, we explore the supersymmetry mass insertioneffects on the branching ratios, the direct CP asymmetries and the polarizationfractions in $B_{s}\to K^{*-}\pi^+, K^{-}\rho^+, K^{*-}\rho^+$ decays. We findthe constrained LR and RL insertions can provide sizable contributions to thebranching ratios of $B_{s}\to K^{*-}\pi^{+}$,$K^{(*)-}\rho^{+}$ as well as thedirect CP asymmetry and the longitudinal polarization of $B_{s}\toK^{*-}\rho^{+}$ decay without conflict with all related data within $2\sigma$ranges.  Near future experiments at Fermi Lab and CERN LHC-b can test our predictionsand shrink/reveal the mass insertion parameter spaces.

Studying of Bs --> K(*)-pi+, K(*)-rho+ decays within supersymmetry

Studying of Bs --> K()-pi+, K()-rho+ decays within supersymmetry