  This presentation reviews the main results of our recent work [A.K., D.M.,
N.N., Phys. Rev. D97, 053007 (2018)] on rare radiative leptonic decays
$B_{d,s}\to\gamma\mu^+\mu^-$ and $B_{d,s}\to\gamma e^+e ^-$ induced by
flavour-changing neutral currents (FCNC) in the Standard Model.
