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There are several anomalous measurements in the decays induced by the quarklevel transition $b \to s \mu^+ \mu^-$, which do not agree with the predictionsof the Standard Model. These measurements could be considered as signatures ofphysics beyond the Standard Model. Working within the framework of effectivefield theory, several groups have performed global fits to all $b \to s \mu^+\mu^-$ data to identify the Lorentz structure of possible new physics. Many newphysics scenarios have been suggested to explain the anomalies in the $b \to s\mu^+ \mu^-$ sector. In this work, we investigate the impact of these newphysics scenarios on the radiative leptonic decay of $B_s$ meson. We considerthe branching ratio of this decay along with the ratio $R_{\gamma}$ of thedifferential distribution $B_s \to \mu^+ \mu^- \gamma$ \& $B_s \to e^+ e^-\gamma$ and the muon forward-backward asymmetry $A_{FB}$. We find that thepredicted values of the branching ratio and $A_{FB}$ are close to the SMresults for all allowed new physics solutions whereas some of the solutionsallow large deviation in $R_{\gamma}$ from its SM prediction.

New physics effects in radiative leptonic $B_s$ decay