Radiative Dileptonic Decays of B Mesons

Abstract

We investigate the radiative dileptonic decays $B_s(B_d)\to \gamma l^{+}{l}^{-}$ within the standard model. Using the constituent quark model, the branching ratios turn out to be around $5\times 10^{-9}$ for $B_s\to \gamma {\mu }^{+}{\mu }^{-}$ and around $6\times 10^{-10}$ for $B_d\to \gamma {\mu }^{+}{\mu }^{-}$, with slightly larger values for $B_s(B_d)\to \gamma e^{+}{e}^{-}$. The differential rate as a function of the dilepton invariant mass is given. The possibility of using these processes to determine the decay constants of $B_s$ or $B_d$ is discussed.

Comments: 11 pages latex file, including 3 figures, minor changes in text, result no change