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

Abstract

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 $B_s\to K^{-\ast }{\pi }^{+}$, $K^{(\ast )-}{\rho }^{+}$ and $K^{(\ast )\pm }{K}^{(\ast )\mp }$ 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 $B_s\to K^{\ast -}{\rho }^{+}$ could be enlarged to $\sim 70$ and the longitudinal polarizations of $B_s\to K^{\ast -}{K}^{\ast +}$, $K^{\ast -}{\rho }^{+}$ decays could be suppressed very much by the squark exchange couplings. Near future experiments at CERN LHC can test these predictions and shrink/reveal the parameter spaces of RPV SUSY.

Comments: 29 pages, 6 figures, to appear in PRD