Form factors and differential distributions in rare radiative leptonic B-decays

Abstract

We study rare radiative leptonic decays $B_{(s)}\to e^+e^-\gamma$ and $B_{(s)}\to \mu^+\mu^-\gamma$ within relativistic quark model. In addition to previous analysis we give the estimations of the branching ratios for four values of the minimal photon energy, which correspond to photon selection criteria of the Belle and LHCb detectors. We find out that the branching ratios only slightly change. The highest values corresponding to $E^\gamma_{min}=80 \textrm{MeV}$ are ${\cal B}(\bar B^0_s\to e^+e^-\gamma)=18.5\times10^{-9}$ and ${\cal B}(B^0_s\to \mu^+\mu^-\gamma)=11.9\times10^{-9}$. We present the distribution of the forward-backward asymmetry.