Analysis of the $B_{(s)}\to T(J^P=2^{-})$ transition in light cone QCD sum rules

Abstract

The semileptonic $B_{(s)}\to T(J^P=2^{-})l^{+}{l}^{-}$ decays induced by flavor changing neural currents are investigated within the light cone QCD sum rule method. We apply the $B$ meson distribution amplitudes up to twist-4 and calculate the relevant form factors of the $B_{(s)}\to T$ transitions, where $T=K_2,a_2,f_2,{\varphi }_2$ with $J^P=2^{-}$. The obtained results of the form factors then adopted in the calculations of the corresponding widths. The present results can be used in future experiments for studying the properties of $J^P=2^{-}$ tensor mesons.