Light-cone distribution amplitudes of vector meson in large momentum effective theory

TL;DR

This paper develops a theoretical framework using large momentum effective theory to compute the light-cone distribution amplitudes of vector mesons, enabling lattice QCD studies of their internal structure.

Contribution

It derives the matching equations and coefficients for LCDAs and quasi-distribution amplitudes at one-loop accuracy, facilitating lattice extractions of vector meson LCDAs.

Findings

Matching coefficients determined at one-loop accuracy

Framework applicable in both UV cut-off and dimensional regularization

Enables studying full x behavior of LCDAs from lattice simulations

Abstract

We investigate the leading twist light-cone distribution amplitudes (LCDAs) of vector meson in the framework of large momentum effective theory. We derive the matching equation for the LCDAs and quasi distribution amplitudes. The matching coefficients are determined to one loop accuracy, both in the ultraviolet cut-off and dimensional regularization schemes. This calculation provides the possibility of studying the full $x$ behavior of LCDAs and extracting LCDAs of vector mesons from lattice simulations.