Matching the Quasi Meson Distribution Amplitude in RI/MOM scheme

TL;DR

This paper calculates the one-loop renormalization of quasi distribution amplitudes in the RI/MOM scheme, enabling the extraction of light-cone distribution amplitudes from lattice QCD data within the LaMET framework.

Contribution

It derives the one-loop matching coefficient for quasi-DA in RI/MOM scheme onto LCDA in the MS scheme, facilitating lattice QCD calculations of LCDAs.

Findings

Derived the one-loop renormalization factor in RI/MOM scheme.

Calculated the matching coefficient to connect quasi-DA and LCDA.

Provided a method to extract LCDAs from lattice matrix elements.

Abstract

The $x$-dependence of light-cone distribution amplitude (LCDA) can be directly calculated from a quasi distribution amplitude (DA) in lattice QCD within the framework of large-momentum effective theory (LaMET). In this paper, we study the one-loop renormalization of the quasi-DA in the regularization-independent momentum subtraction (RI/MOM) scheme. The renormalization factor for the quasi parton distribution function can be used to renormalize the quasi-DA provided that they are implemented on lattice and in perturbation theory in the same manner. We derive the one-loop matching coefficient that matches quasi-DA in the RI/MOM scheme onto LCDA in the $\overline{\rm MS}$ scheme. Our result provides the crucial step to extract the LCDAs from lattice matrix elements of quasi-DAs.