Studying Exclusive Semi - leptonic b → ( s , d ) νν̄ Decays in the MSSM without R - parity

We present a complete study of R-parity violating supersymmetric effects in eleven exclusive semi-leptonic b → (s, d)ν ¯ ν decays, including B + u → K (*)+ ν ¯ ν, B 0 d → K (*)0 ν ¯ ν, B 0 s → φν ¯ ν, B 0 d → π 0 (ρ 0)ν ¯ ν, B + u → π + (ρ +)ν ¯ ν and B 0 s → K (*)0 ν ¯ ν decay modes, and we find those eleven 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-Belle and LHC-b and etc, we expect that future experiments will greatly strengthen our bounds.