Two-parton Light-cone Distribution Amplitudes of Tensor Mesons

TL;DR

This paper analyzes the light-cone distribution amplitudes of tensor mesons, estimates decay constants using QCD sum rules, and compares them with experimental data, providing insights into tensor meson structure.

Contribution

It provides detailed asymptotic distribution amplitudes and decay constants for tensor mesons, combining QCD sum rules with experimental decay data for validation.

Findings

Decay constants estimated with QCD sum rules agree with experimental data.

Asymptotic distribution amplitudes for twist-2 and twist-3 are explicitly provided.

Results support the tensor meson dominance hypothesis.

Abstract

We present a detailed study of the two-parton light-cone distribution amplitudes for $1\,^3P_2$ nonet tensor mesons. The asymptotic two-parton distribution amplitudes of twist-2 and twist-3 are given. The decay constants $f_T$ and $f_T^\bot$ defined by the matrices of non-local operators on the lightcone are estimated using the QCD sum rule techniques. We also study the decay constants for $f_2(1270)$ and $f_2^\prime(1525)$ based on the hypothesis of tensor meson dominance together with the data of $\Gamma(f_2\to \pi\pi)$ and $\Gamma(f'_2\to K\bar K)$ and find that the results are in accordance with the sum rule predictions.