B→Xsli+lj−decays withR-parity violation

Abstract

We consider $\stackrel{\ensuremath{\rightarrow}}{B}{X}_{s}{l}_{i}^{+}{l}_{j}^{\ensuremath{-}}$ decays in the minimal supersymmetric standard model with explicit $R$-parity violation. From the present upper limits on the branching ratios for these processes, we obtain the constraints on the product combinations of the $R$-parity-violating couplings which are in many cases more severe than the previous ones. Taking into account the invariant dilepton mass spectrum and the forward-backward asymmetry of the emitted leptons, we show that the spectra and asymmetries obtained from $R$-parity-violating interactions are different from the SM ones. Therefore, they may be used in the future to disentangle $R$-parity-violating effects from the SM in these processes. We also show that it is possible to discriminate two types of $R$-parity-violating effects from each other. The general expectation of the enhancement of the forward-backward asymmetry of the emitted leptons in the minimal supersymmetric standard model with $R$ parity may be corrupted by $R$-parity violation.