B→K∗2(1430)ℓ+ℓ− distributions in Standard Model at large recoil

Abstract

We study the rare decay B→K∗2(1430)(→Kπ)ℓ+ℓ− in the Standard Model and beyond. Working in the transversity basis, we exploit the relations between the heavy-to-light form factors in the limit of heavy quark (mb→∞) and large energy (EK∗2→∞) of the K∗2 meson. This allows us to construct observables where at leading order in ΛQCD/mb and αs the form factor dependence involving the B→K∗2 transitions cancels. Higher order corrections are systematically incorporated in the numerical analysis. In the Standard Model the decay has a sizable branching ratio and therefore a large number of events can be expected at LHCb. Going beyond the Standard Model, we explore the implications of the global fit to presently available b→sℓ+ℓ− data on the B→K∗2ℓ+ℓ− observables.