Decays of charged $B$-mesons into three charged leptons and a neutrino

Abstract

In the framework of the Standard Model we present predictions for partial widths, double and single differential distributions, and forward--backward lepton asymmetries for four-leptonic decays $B^{-}\to {\mu }^{+}{\mu }^{-}{\bar{\nu }}_e{e}^{-}$, $B^{-}\to e^{+}{e}^{-}{\bar{\nu }}_{\mu }{\mu }^{-}$, $B^{-}\to {\mu }^{+}{\mu }^{-}{\bar{\nu }}_{\mu }{\mu }^{-}$, and $B^{-}\to e^{+}{e}^{-}{\bar{\nu }}_e{e}^{-}$. We consider the contributions of virtual photon emission from the light and heavy quarks of the $B^{-}$--meson, and we include bremsstrahlung of a virtual photon from the charged lepton in the final state. We use the model of vector meson dominance for calculation of virtual photon emission by the light quark of the $B^{-}$--meson and take into account the isotopic correction.

24 pages, 24 figures