Probe R-parity violating supersymmetry effects in B → K(*) l+l- and Bs → l+l- decays

We study the decays B -> K-(*)center dot(+)center dot(-) and B-s ->center dot(+)center dot(-)(center dot=e,mu) in the minimal supersymmetric standard model with R-parity violation (RPV). From the recent measurements of B(B -> K-(*)center dot(+)center dot(-)) and the upper limits of B(B-s ->center dot(+)center dot(-)), we have derived new upper bounds on the relevant RPV coupling products, which are stronger than the existing ones. Using the constrained parameter space, we predict the RPV effects on the forward-backward asymmetries A(FB)(B -> K-(*)center dot(+)center dot(-)) and the branching ratios B(B-s ->center dot(+)center dot(-)). Our results of the forward-backward asymmetries agree with the recent experiment data. It is also found that B(B-s ->center dot(+)center dot(-)) could be enhanced several orders by the RPV sneutrino exchange. The RPV effects on the dilepton invariant mass spectra of B -> K-(*)center dot(+)center dot(-) and the normalized A(FB)(B -> K-(*)center dot(+)center dot(-)) are studied in detail. Our results could be used to probe RPV effects and will correlate with searches for direct RPV signals at LHC.