Quark structure from the lattice Operator Product Expansion

TL;DR

This paper explores using non-perturbative lattice Wilson coefficients to extract nucleon structure function moments, employing overlap fermions for better chiral properties and reduced operator mixing issues.

Contribution

It demonstrates how lattice-determined Wilson coefficients can be applied to obtain Nachtmann moments of structure functions, advancing non-perturbative nucleon structure analysis.

Findings

Successful extraction of Nachtmann moments from lattice data

Use of overlap fermions reduces operator mixing complications

Provides a framework for non-perturbative nucleon structure studies

Abstract

We have reported elsewhere in this conference on our continuing project to determine non-perturbative Wilson coefficients on the lattice, as a step towards a completely non-perturbative determination of the nucleon structure. In this talk we discuss how these Wilson coefficients can be used to extract Nachtmann moments of structure functions, using the case of off-shell Landau-gauge quarks as a first simple example. This work is done using overlap fermions, because their improved chiral properties reduce the difficulties due to operator mixing.