Analysis of the $B\to a_1(1260)$ form-factors with light-cone QCD sum rules

TL;DR

This paper calculates the $B\to a_1(1260)$ form-factors using light-cone QCD sum rules, providing essential parameters for studying various $B$ meson decays and highlighting the importance of refining key distribution amplitude parameters.

Contribution

It presents the first calculation of $B\to a_1(1260)$ form-factors with light-cone QCD sum rules, aligning with existing results and emphasizing the need to improve parameter precision.

Findings

Numerical form-factor results are consistent with existing QCD sum rule calculations.

Main uncertainty arises from the parameter $\omega_0$ (or $\lambda_B$).

Refinement of distribution amplitude parameters is crucial for accuracy.

Abstract

In this article, we calculate the $B\to a_1(1260)$ form-factors $V_1(q^2)$, $V_2(q^2)$, $V_3(q^2)$ and $A(q^2)$ with the $B$-meson light-cone QCD sum rules. Those form-factors are basic parameters in studying the exclusive non-leptonic two-body decays $B\to AP$ and semi-leptonic decays $B\to A l \nu_l$, $B\to A \bar{l}l$. Our numerical results are consistent with the values from the (light-cone) QCD sum rules. The main uncertainty comes from the parameter $\omega_0$ (or $\lambda_B$), which determines the shapes of the two-particle and three-particle light-cone distribution amplitudes of the $B$ meson, it is of great importance to refine this parameter.