Estimates for Forward-backward Asymmetry in $B\rightarrow K^*(892)\; l^+ l^-$

Abstract

Forward-backward charge asymmetry in rare dilepton $B$-decays is formulated with the assumption of an on-shell b-quark. We find the asymmetry is expressed in terms of two spatially transverse helicity amplitudes, which are determined by combining the data of $D\rightarrow K^*(892)\; l^+ \nu$ with heavy flavour symmetry. We estimate the charge asymmetry of $B\rightarrow K^*(892)\; l^+ l^-$ for large energy leptons against various top masses in the standard model.