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Using the $B_s$ meson wave function extracted from non-leptonic $B_s$ decays,we evaluate the short distance contribution of rare decays $B_s\to\ell^+\ell^-\gamma(\ell=e,\mu)$ in the standard model, including all thepossible diagrams. We focus on the contribution from four-quark operators whichare not taken into account properly in previous researches. We found that thecontribution is large, leading to the branching ratio of $B_s\to\ell^+\ell^-\gamma$ being nearly enhanced by a factor 3 and up to $1.7\times10^{-8}$. The predictions for such processes can be tested in the LHC-b and Bfactories in near future.

Complete Analysis on the Short Distance Contribution of $B_s\to \ell^+\ell^-\gamma$ in Standard Model