Form factors of heavy-to-lightBdecays at large recoil

Abstract

General relations between the form factors of B decays to light mesons are derived using the heavy quark and large recoil expansion. On their basis the complete account of contributions of second order in the ratio of the light meson mass to the large recoil energy is performed. Both ground and excited final meson states are considered. It is shown that most of the known form factor relations remain valid after the inclusion of quadratic mass corrections. The validity of some of such relations requires additional equalities for the helicity amplitudes. It is found that all these relations and equalities are satisfied in the relativistic quark model based on the quasipotential approach in quantum field theory. The contribution of ${1/m}_{b}$ corrections to the branching fraction of the rare radiative B decay is discussed.