# Lattice corrections to the quark quasidistribution at one-loop

## TL;DR

This paper computes one-loop radiative corrections to the quark quasidistribution in lattice and continuum Euclidean space, highlighting differences in infrared behavior and the impact of lattice parameters on the corrections.

## Contribution

It provides a detailed analysis of lattice and Euclidean continuum one-loop corrections, explaining their differences and the influence of lattice spacing and Wilson parameter.

## Key findings

- Infrared behaviors differ between Euclidean and Minkowski space.
- Lattice perturbation theory corrections do not directly match Minkowski results.
- The lattice spacing and Wilson parameter significantly affect the radiative corrections.

## Abstract

We calculate radiative corrections to the quark quasidistribution in lattice perturbation theory at one loop to leading orders in the lattice spacing. We also consider one-loop corrections in continuum Euclidean space. We find the infrared behavior of the corrections in Euclidean and Minkowski space are different. We explore features of momentum loop integrals and demonstrate why loop corrections from the lattice perturbation theory and Euclidean continuum do not correspond with their Minkowski brethren, and comment on a recent suggestion for transcending the differences in the results. Further, we examine the role of the lattice spacing $a$ and of the $r$ parameter in the Wilson action in these radiative corrections.