Semileptonic $B_{(s)}\to a_1(K_1){\ell }^{+}{\ell }^{-}$ decays via the light-cone sum rules with $B$-meson distribution amplitudes

Abstract

The form factors of semileptonic $B_{(s)}\to a_1(K_1){\ell }^{+}{\ell }^{-}$, $\ell =\tau ,\mu ,e$ transitions are investigated in the framework of the light-cone sum rules with $B$-meson distribution amplitudes, which play an important role in exclusive $B$ decays. The $B$-meson distribution amplitudes, ${\phi }_{\pm }(\omega )$ are a model-dependent form, so we consider four different parameterizations which can provide a reasonable description of ${\phi }_{\pm }(\omega )$ from QCD corrections. The branching fractions of these transitions are calculated. For a better analysis, a comparison of our results with the prediction of other models is provided.

Comments: 14 pages, 5 figures