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We consider the effect of new physics on the branching ratio of B_s--> l+ l-gamma where l=e,mu. If the new physics is of the form scalar/pseudoscalar, thenit makes no contribution to B_s--> l+ l- gamma, unlike in the case of B_s--> l+l-, where it can potentially make a very large contribution. If the new physicsis in the form of vector/axial-vector operators, then present data onB-->(K,K^*)l+ l-, does not allow a large enhancement for B_s--> l+ l- gamma. Ifthe new physics is in the form of tensor/pseudotensor operators, then the dataon B-->(K,K^*)l+ l- gives no useful constraint but the data on B-->K^* gammadoes. Here again, a large enhancement of B(B_s--> l+ l- gamma), much beyond theStandard Model expectation, is not possible. Hence, we conclude that thepresent data on b-->s transitions allow a large boost in B_s--> l+ l- but notin B_s--> l+ l- gamma.Comment: Additional constraints from current data on B-->K^* gamma are  considered. Present data on b-->s transitions allow a large boost in  B(B_s-->l+ l-) but not in B(B_s-->l+ l- gamma

NEW PHYSICS UPPER BOUND ON THE BRANCHING RATIO OF Bs → l+l-γ

NEW PHYSICS UPPER BOUND ON THE BRANCHING RATIO OF B_s → l⁺l^-γ