Radiative and semileptonic B decays involving higher K-resonances in the final states

We study the radiative and semileptonic B decays involving a spin-J resonant K-J(()*()) with parity (-1)(J) for K-J* and (-1)(J+1) for K-J in the final state. Using large energy effective theory (LEET) techniques, we formulate B -> K-J(()*()) transition form factors in the large recoil region in terms of two independent LEET functions zeta(KJ()(perpendicular to)*()) and zeta(KJ()(parallel to)*()), the values of which at zero momentum transfer are estimated in the BSW model. According to the QCD counting rules, zeta(KJ()(perpendicular to,parallel to)*()) exhibit a dipole dependence in q(2). We predict the decay rates for B -> K-J(()*())gamma, B -> K-J(()*())l(+)l(-) and B -> K-J(()*()) nu(nu) over bar. The branching fractions for these decays with higher K-resonances in the final state are suppressed due to the smaller phase spaces and the smaller values of zeta(KJ()(perpendicular to,parallel to)*()). Furthermore, if the spin of K-J(()*()) becomes larger, the branching fractions will be further suppressed due to the smaller Clebsch-Gordan coefficients defined by the polarization tensors of the K-J(()*()). We also calculate the forward-backward asymmetry of the B -> K-J(()*())l(+)l(-) decay, for which the zero is highly insensitive to the K-resonances in the LEET parametrization.