Rare radiative leptonic B-decays

Abstract

We obtain predictions for $B_{(s)}\to e^{+}{e}^{-}\gamma$ and $B_{(s)}\to {\mu }^{+}{\mu }^{-}\gamma$ decays. All the contributions containing long-distance QCD effects are calculated in the framework of relativistic quark model. The contributions of the light vector-meson resonances related to the virtual photon emission from valence quarks of the $B$-meson are included. The highest branching ratios for the radiative leptonic B-decays are $\mathcal{B}({\bar{B}}_s^0\to e^{+}{e}^{-}\gamma )=18.8\times 10^{-9}$ and $\mathcal{B}(B_s^0\to {\mu }^{+}{\mu }^{-}\gamma )=12.2\times 10^{-9}$. We also give the distribution of the foward-backward asymmetry.

Comments: 8 pages, 11 figures, talk given at the 19th International Seminar on High Energy Physics QUARKS-2016, Pushkin, Russia, 29 May - 4 June, 2016