B_s\to K^{(*)-}K^{(*)+}, K^{(*)-}\pi^{+}, K^{(*)-}\rho^{+} decays in R-parity violating supersymmetry

Understand

With the first measurements of the branching ratios and the direct CP asymmetries of $B_s\to K^{-}K^{+}$, $K^{-}\pi^{+}$ decays by the CDF collaboration, we constrain the relevant parameter space of the Minimal Supersymmetric Standard Model with R-parity violation.

• Using the constrained R-parity violating couplings, we further examine their possible effects in $B_{s}\to K^{-*}\pi^{+}$, $K^{(*)-}\rho^{+}$ and $K^{(*)\pm}K^{(*)\mp}$ decays.
• We find that some branching ratios and CP asymmetries are very sensitive to the R-parity violating couplings.
• The direct longitudinal CP asymmetries of tree-dominated process $B_s\to K^{*-}\rho^{+}$ could be enlarged to $\sim 70%$ and the longitudinal polarizations of $B_s\to K^{*-}K^{*+}$, $K^{*-}\rho^{+}$ decays could be suppressed very much by the squark exchange couplings.