Bs→K(*)−K(*)+,K(*)−π+,K(*)−ρ+decays in R-parity violating supersymmetry

Abstract

With the first measurements of the branching ratios and the direct CP asymmetries of B{sub s}{yields}K{sup -}K{sup +}, K{sup -}{pi}{sup +} 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{sub s}{yields}K{sup -}*{pi}{sup +}, K{sup (*)-}{rho}{sup +} and K{sup (*){+-}}K{sup (*){+-}} 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{sub s}{yields}K*{sup -}{rho}{sup +} could be enlarged to {approx}70% and the longitudinal polarizations of B{sub s}{yields}K*{sup -}K*{sup +}, K*{sup -}{rho}{sup +} 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.