Analysis of $B\to K^* \ell^+ \ell^-$ decays at large recoil

We study the exclusive decays of $B\to K^{*}\ell^+ \ell^-$ within the framework of the perturbative QCD (PQCD). We obtain the form factors for the $B\to K^{*}$ transition in the large recoil region, where the PQCD for heavy $B$ meson decays is reliable. We find that our results for the form factors at $q^2=0$ are consistent with those from most of the other QCD models in the literature. Via the decay chain of $B\to K^* (Kπ) \ell^+ \ell^-$, we obtain many physical observables related to the different helicity combinations of $B\to K^* \ell^+ \ell^-$. In particular, we point out that the T violating effect suppressed in the standard model can be up to $O(10$ in some CP violating models with new physics.

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