Generalized Parton Distributions and Pseudo-Distributions

TL;DR

This paper derives one-loop matching relations for Ioffe-time distributions related to pion distribution amplitudes and GPDs, facilitating lattice QCD calculations using the pseudo-distributions approach.

Contribution

It provides a universal operator-based expression for one-loop corrections to Ioffe-time distributions, advancing lattice QCD analysis of pion structure.

Findings

Derived one-loop matching relations for Ioffe-time distributions.

Presented a universal operator form for one-loop corrections.

Enabled improved lattice calculations of pion GPDs and DAs.

Abstract

We derive one-loop matching relations for the Ioffe-time distributions related to the pion distribution amplitude (DA) and generalized parton distributions (GPDs). They are obtained from a universal expression for the one-loop correction in an operator form, and will be used in the ongoing lattice calculations of the pion DA and GPDs based on the parton pseudo-distributions approach.