We investigate the transition form factors for the $B\to K^{*}{l}^{+}{l}^{-}$ $(l=\mu ,\tau )$ decay in light cone QCD. It is found that the light cone and three-point QCD sum rule analyses for some of the form factors for the decay $B\to K^{*}{l}^{+}{l}^{-}$ lead to absolutely different $q^2$ dependence. The invariant dilepton mass distributions for the $B\to K^{*}{\mu }^{+}{\mu }^{-}$ and $B\to K^{*}{\tau }^{+}{\tau }^{-}$ decays and final lepton longitudinal polarization asymmetry, which includes both short- and long-distance contributions, are also calculated.

• Received 30 December 1996

DOI:https://doi.org/10.1103/PhysRevD.56.4260