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.
Highlights
Four-leptonic decays of B mesons allow a precise test of Standard Model (SM) predictions in the higher orders of perturbation theory
These decays may be background processes to the helicity-suppressed ultrarare decays Bd;s → μþμ−, which are under study at the Large Hadron Collider (LHC) [1,2,3,4,5]
These studies are motivated by searches for Beyond the Standard Model physics
Summary
Four-leptonic decays of B mesons allow a precise test of Standard Model (SM) predictions in the higher orders of perturbation theory. Examples are the decay B− → eþe−νμμ− and analogous processes involving charged B mesons. Both groups are studied at the LHC and potentially could be investigated at the Belle II experiment. The experimental upper limits [6,7] for the decays Bd;s → μþμ−μþμ− are an order of magnitude higher than the corresponding theoretical predictions [9] and estimates [10]. Some details of the four-leptonic decay kinematics are given in Appendix B
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