+ , K ( ∗ ) − π + , K ( ∗ ) − ρ + decays in R - parity violating supersymmetry

With the first measurements of the branching ratios and the direct CP asymmetries of B s → K − K + , K − π + 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 → K − * π + , K (*)− ρ + and K (*)± K (*)∓ 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 → K * − ρ + could be enlarged to ∼ 70% and the longitudinal polarizations of B s → K * − K * + , K * − ρ + 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.