QCD Factorization and PDFs from Lattice QCD Calculation

TL;DR

This paper reviews a method to extract parton distribution functions from lattice QCD calculations by leveraging a QCD factorization approach, enabling nonperturbative insights into hadron structure.

Contribution

It introduces a systematic way to connect Euclidean lattice QCD results with Minkowski space parton distributions through factorization and perturbative matching.

Findings

Nonperturbative collinear behavior is consistent between Euclidean and Minkowski spaces.

Parton distribution functions can be obtained with infrared safe matching coefficients.

The approach enables lattice QCD to inform parton structure studies.

Abstract

In this talk, we review a QCD factorization based approach to extract parton distribution and correlation functions from lattice QCD calculation of single hadron matrix elements of quark-gluon operators. We argue that although the lattice QCD calculations are done in the Euclidean space, the nonperturbative collinear behavior of the matrix elements are the same as that in the Minkowski space, and could be systematically factorized into parton distribution functions with infrared safe matching coefficients. The matching coefficients can be calculated perturbatively by applying the factorization formalism on to asymptotic partonic states.