Analysis of the $B \to K^*_2(1430), a_2(1320), f_2(1270)$ form-factors with light-cone QCD sum rules

TL;DR

This paper calculates form-factors for specific B-meson decays using light-cone QCD sum rules, highlighting the importance of the B-meson light-cone distribution amplitude shape and its potential constraints from future experimental data.

Contribution

It introduces a detailed analysis of B-meson decay form-factors incorporating light-cone distribution amplitudes, emphasizing the impact of their shape on theoretical predictions.

Findings

Form-factors are sensitive to the shape of the B-meson light-cone distribution amplitude.

Significant impact of the $ ext{phi}_+( ext{omega})$ shape on form-factor values.

Future experimental data can constrain B-meson light-cone distribution amplitude parameters.

Abstract

In this article, we study the $B \to K^*_2(1430)$, $a_2(1320)$, $f_2(1270)$ form-factors with the light-cone QCD sum rules, where the $B$-meson light-cone distribution amplitudes are used. In calculations, we observe that the line-shapes of the $B$-meson light-cone distribution amplitude $\phi_+(\omega)$ have significant impacts on the values of the form-factors, and expect to obtain severe constraints on the parameters of the $B$-meson light-cone distribution amplitudes from the experimental data in the future.