We study the lepton forward-backward asymmetry ${\mathcal{A}}_{FB}$ and the longitudinal $K^{*}$ polarization $F_L$, as well as an observable $P_2$ derived from them, in the rare decays $B\to K^{*}{\ell }^{+}{\ell }^{-}$, where ${\ell }^{+}{\ell }^{-}$ is either $e^{+}{e}^{-}$ or ${\mu }^{+}{\mu }^{-}$, using the full sample of 471 million $B\overline{B}$ events collected at the $\mathrm{\Upsilon }(4S)$ resonance with the BABAR, detector at the PEP-II $e^{+}{e}^{-}$ collider. We separately fit and report results for the $K^{*0}(892){\ell }^{+}{\ell }^{-}$ and $K^{*+}(892){\ell }^{+}{\ell }^{-}$ final states, as well as their combination $K^{*}{\ell }^{+}{\ell }^{-}$, in five disjoint dilepton mass-squared bins. An angular analysis of $B^{+}\to K^{*+}{\ell }^{+}{\ell }^{-}$ decays is presented here for the first time.

• Received 1 September 2015

DOI:https://doi.org/10.1103/PhysRevD.93.052015