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Using the $B_s$ meson wave function extracted from non-leptonic $B_s$ decays,we reevaluate the rare decays $B_s\to \ell^+\ell^- \gamma, (\ell=e,\mu)$ in thestandard model, including two kinds of contributions from magnetic-penguinoperator with virtual and real photon. We find that the contributions frommagnetic-penguin operator $b\to s\gamma$ with real photon to the exclusivedecays, which is regarded as to be negligible in previous literatures, arelarge, and the branchings of $B_s\to \ell^+\ell^-\gamma$ are nearly enhanced bya factor 2. With the predicted branching ratios at order of $10^{-8}$, it isexpected that the radiative dileptonic decays will be detected in the LHC-b andB factories in near future.

Can contribution from magnetic-penguin operator with real photon to $B_s\to \ell^+\ell^-\gamma$ in the standard model be neglected?