# Light-Cone Distribution Amplitudes of Light $J^{PC}=2^{--}$ Tensor Mesons in QCD

## TL;DR

This paper investigates the light-cone distribution amplitudes of $J^{PC}=2^{--}$ tensor mesons using QCD sum rules, providing new parameter estimates crucial for understanding $B$ meson decays into these states.

## Contribution

It introduces the first detailed analysis of the LCDAs for $2^{--}$ tensor mesons, including asymptotic forms and parameter estimations with QCD sum rules.

## Key findings

- Asymptotic leading-twist LCDAs with strange quark mass corrections are derived.
- Decay constants $f_T$ and $f_T^ op$, and the first Gegenbauer moment $a_1^ot$ are estimated.
- Chiral-even LCDAs are antisymmetric, while chiral-odd are symmetric under quark-antiquark exchange.

## Abstract

We present a study for two-quark light-cone distribution amplitudes for the $1^3D_2$ light tensor meson states with quantum number $J^{PC}=2^{--}$. Because of the G-parity, the chiral-even two-quark light-cone distribution amplitudes of this tensor meson are antisymmetric under the interchange of momentum fractions of the quark and antiquark in the SU(3) limit, while the chiral-odd ones are symmetric. The asymptotic leading-twist LCDAs with the strange quark mass correction are shown. We estimate the relevant parameters, the decay constants $f_T$ and $f_T^\perp$, and first Gegenbauer moment $a_1^\perp$, by using the QCD sum rule method. These parameters play a central role in the investigation of $B$ meson decaying into the $2^{--}$ tensor mesons.