# $B \rightarrow T$ transition form factors in light-cone sum rules

## TL;DR

This paper calculates $B$-meson to tensor meson transition form factors using light-cone sum rules, including higher-twist corrections, and explores their implications for specific decay processes.

## Contribution

It introduces the first analytical inclusion of higher-twist corrections up to twist four in $B$ to tensor meson form factors using light-cone sum rules.

## Key findings

- Higher-twist effects significantly influence the form factors.
- Results impact predictions for ${B} o K_2^{*} ext{(gamma, semileptonic, dileptonic)}$ decays.
- Provides new theoretical inputs for flavor physics analyses.

## Abstract

We present a new calculation of the semileptonic tree-level and flavor-changing neutral current form factors describing $B$-meson transitions to tensor mesons $T=D_2^*,K_2^*,a_2,f_2$ ($J^{P}=2^{+}$). We employ the QCD Light-Cone Sum Rules approach with $B$-meson distribution amplitudes. We go beyond the leading-twist accuracy and provide analytically, for the first time, higher-twist corrections for the two-particle contributions up to twist four terms. We observe that the impact of higher twist terms to the sum rules is noticeable. We study the phenomenological implications of our results on the radiative ${B} \to K_2^{*}\gamma$ and semileptonic ${B} \to D_2^* \ell {\bar \nu}_\ell$, ${B} \to K_2^{*}\ell^+\ell^-$ decays.