QCD sum rules analysis of the $B_{s}\to D_{sJ}(2460)l\nu $ decay

Abstract

Using three point QCD sum rules method, the form factors relevant to the semileptonic $B_{s}\to D_{sJ}(2460)\ell\nu$ decay are calculated. The $q^2$ dependencies of these form factors are evaluated. The dependence of the asymmetry parameter $\alpha$, characterizing the polarization of $D_{sJ}$ meson, on $q^2$ is studied. This study gives useful information about the structure of the $D_{sJ}$ meson. Finally the branching ratio of this decay is also estimated and is shown that it can be easily detected at LHC.