Studying semi-leptonic b→(s,d)νν¯ decays in the MSSM without R-parity

We present a complete study of R-parity violating supersymmetric effects in thirteen exclusive and inclusive semi-leptonic b→(s,d)νν¯ decays; Bu+→K(∗)+νν¯, Bd0→K(∗)0νν¯, Bs0→ϕνν¯, Bd0→π0(ρ0)νν¯, Bu+→π+(ρ+)νν¯, Bs0→K(∗)0νν¯ and B→Xs,dνν¯ decay modes. We find those thirteen modes are very sensitive to the constrained R-parity violating couplings. We derive stringent bounds on relevant R-parity violating couplings, which are based on all existent experimental upper limits of involved semi-leptonic decays. In addition, we also investigate the sensitivities of the branching ratios and di-neutrino invariant mass spectra to the survived R-parity violating coupling spaces. Since the experimental bounds would become much better soon through super-B, we expect that future experiments will greatly strengthen our bounds.