Regular Article - Theoretical Physics
Radiative and semileptonic B decays involving higher K-resonances in the final states
Department of Physics, Chung-Yuan Christian University, Chung-Li, Taiwan, 320, ROC
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Published online: 1 April 2010
We study the radiative and semileptonic B decays involving a spin-J resonant with parity (−1) J for and (−1) J+1 for K J in the final state. Using large energy effective theory (LEET) techniques, we formulate transition form factors in the large recoil region in terms of two independent LEET functions and , the values of which at zero momentum transfer are estimated in the BSW model. According to the QCD counting rules, exhibit a dipole dependence in q 2. We predict the decay rates for , and . 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 . Furthermore, if the spin of becomes larger, the branching fractions will be further suppressed due to the smaller Clebsch–Gordan coefficients defined by the polarization tensors of the . We also calculate the forward–backward asymmetry of the decay, for which the zero is highly insensitive to the K-resonances in the LEET parametrization.
© Springer-Verlag / Società Italiana di Fisica, 2010