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The exclusive $B_s -> \gamma l^+ l^- $ decay is analyzed in the framework ofa family nonuniversal Z' model by calculating the differential branching ratio,double lepton polarizations and forward-backward asymmetries. Our results arecompared against those of the Standard Model. The predictions of this work arehoped to can be tested in the near future at LHCb.

Lepton Asymmetries for the $B_s -> \gamma l^+ l^- $ Decay in a Family Nonuniversal Z' Model