$B \to A$ transitions in the light-cone QCD sum rules with the chiral current

TL;DR

This paper calculates $B o a_1$ and $b_1$ transition form-factors using light-cone QCD sum rules with a chiral current, reducing uncertainties and predicting decay widths for semi-leptonic decays.

Contribution

It introduces a novel application of chiral currents in light-cone QCD sum rules to improve the precision of form-factor calculations for $B$-meson transitions.

Findings

Form-factors are calculated with reduced uncertainties.

Predictions for differential and total decay widths are provided.

Results can be tested against future experimental data.

Abstract

In this article, we calculate the form-factors of the transitions $B \to a_1(1260)$, $b_1(1235) $ in the leading-order approximation using the light-cone QCD sum rules. In calculations, we choose the chiral current to interpolate the $B$-meson, which has outstanding advantage that the twist-3 light-cone distribution amplitudes of the axial-vector mesons have no contributions, and the resulting sum rules for the form-factors suffer from much less uncertainties. Then we study the semi-leptonic decays $B \to a_1(1260) l\bar{\nu}_l$, $b_1(1235) l\bar{\nu}_l$ $(l=e,\mu,\tau)$, and make predictions for the differential decay widths and decay widths, which can be confronted with the experimental data in the coming future.