Studying semi-leptonic b → (s, d) ν over(ν, ̄) 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) ν over(ν, ̄) decays; B_u⁺ → K^{(*) +} ν over(ν, ̄), B_d⁰ → K^{(*) 0} ν over(ν, ̄), B_s⁰ → φ{symbol} ν over(ν, ̄), B_d⁰ → π⁰ (ρ⁰) ν over(ν, ̄), B_u⁺ → π⁺ (ρ⁺) ν over(ν, ̄), B_s⁰ → K^{(*) 0} ν over(ν, ̄) and B → X_{s, d} ν over(ν, ̄) 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.