Radiative leptonic decays of heavy mesons in heavy quark limit

Abstract

We study the radiative leptonic decays of heavy mesons within the covariant light-front model. Using this model, both the form factors F_V and F_A have the same form when the heavy quark limit is taken. In addition, the relation between the form factor F_V and the decay constant of heavy meson F_H is obtained. The hadronic parameter \beta can be determine by the parameters appearing in the wave function of heavy meson. We find that the value of \beta is not only quite smaller than the one in the non-relativistic case, but also insensitive to the value of light quark mass m_q. These results mean that the relativistic effects are very important in this work. We also obtain the branching ratio of B\to l\nu_l \gamma is about (1.40-1.67)\times 10^{-6}, in agreement with the general estimates in the literature.