A study on the radiative dileptonic decays $B^0(B_s)\to \gamma {\ell }^{+}{\ell }^{-}$

Abstract

We study the rare radiative dileptonic decays $B^0(B_s)\to \gamma {\ell }^{+}{\ell }^{-}$ ($\ell =e,\mu$) in the standard model. By using the $B$ meson wave function constrained by non-leptonic decays, the branching ratios turn out to be of the order of $10^{-9}$ for $B_s\to \gamma {\mu }^{+}{\mu }^{-}$, $\gamma e^{+}{e}^{-}$ and $10^{-10}$ for $B^0\to \gamma {\mu }^{+}{\mu }^{-}$, $\gamma e^{+}{e}^{-}$. Based on the study, these decays are accessible at the near future LHC-b experiment, which are useful to determine the $B(B_s)$ wave function.

9 pages, including 3 figures, to apper in Comm. of Theor. Phys