Decays of charged <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math> mesons into three charged leptons and a neutrino

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 ${B}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}{\overline{\ensuremath{\nu}}}_{e}{e}^{\ensuremath{-}}$, ${B}^{\ensuremath{-}}\ensuremath{\rightarrow}{e}^{+}{e}^{\ensuremath{-}}{\overline{\ensuremath{\nu}}}_{\ensuremath{\mu}}{\ensuremath{\mu}}^{\ensuremath{-}}$, ${B}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}{\overline{\ensuremath{\nu}}}_{\ensuremath{\mu}}{\ensuremath{\mu}}^{\ensuremath{-}}$, and ${B}^{\ensuremath{-}}\ensuremath{\rightarrow}{e}^{+}{e}^{\ensuremath{-}}{\overline{\ensuremath{\nu}}}_{e}{e}^{\ensuremath{-}}$. We consider the contributions of virtual photon emission from the light and heavy quarks of the ${B}^{\ensuremath{-}}$ 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 ${B}^{\ensuremath{-}}$ meson and take into account the isotopic correction. The dependence of branchings on the relative phase of the contributions of the light intermediate vector mesons is studied.

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