Power corrections and renormalons in parton quasi-distributions

TL;DR

This paper investigates the factorial divergence in QCD perturbative expansions to understand nonperturbative power corrections in parton quasi-distributions, predicting their dependence on Bjorken x and effects of normalization procedures.

Contribution

It introduces a method to analyze power corrections in lattice QCD calculations of parton distributions using renormalon-inspired techniques, providing new predictions for their x-dependence.

Findings

Predicted the functional form of leading power corrections in x.

Showed normalization procedures significantly influence power corrections.

Linked factorial divergence to nonperturbative effects in lattice QCD.

Abstract

Perturbative expansions for short-distance quantities in QCD are factorially divergent and this deficiency can be turned into a useful tool to investigate nonperturbative corrections. In this work, we use this approach to study the structure of power corrections to parton quasi-distributions and pseudo-distributions which appear in lattice calculations of parton distribution functions. As the main result, we predict the functional dependence of the leading power corrections to quasi(pseudo)-distributions on the Bjorken $x$ variable. We also show that these corrections can be strongly affected by the normalization procedure.