Rare four-leptonic B-decays with light leptons in the final state in the Standard Model

Abstract

We present predictions for the four-leptonic decays of B−-mesons with three light charged leptons and one neutrino in the final states. We obtain the branching ratio for B − → μ + μ − e − v ¯ e decay at the level 1.3 × 10−7 taking into account the photon emission from the u- and b- valence quarks of B− –meson and the Bremsstrahlung. The contribution of the virtual photon was calculated using the Vector Meson Dominance model (VMD). As a next step we present prediction for branching ratio of the decay B − → μ + μ + μ − v ¯ μ and the estimation for B r B s → μ + μ − e + e − .