B_q -> l^+ l^- gamma decays in light cone QCD

The radiative dileptonic decays B_s(B_d) -> l^+ l^- gamma (l = e, mu) are investigated within the Standard Model . The transition formfactors are calculated in the framework of the light cone QCD sum rules method and it is found that the branching ratios are B(B_s -> e^+ e^- gamma) =2.35 x 10^(-9), B(B_s -> mu^+ mu^- gamma) =1.9 x 10^(-9), B(B_d -> e^+ e^- gamma) = 1.5 x 10^(-10) and B(B_d -> \mu^+ \mu^- gamma) = 1.2 x 10^(-10). A comparison of our results with the constituent quark model predictions on the branching ratios is presented.