Parton Distribution Functions from Large Momentum Expansion of Current-Current Correlators

TL;DR

This paper proposes a method to compute parton distribution functions using large momentum expansion of current-current correlators, offering advantages in renormalization and divergence properties, with initial numerical results.

Contribution

It introduces an expansion formula for current-current correlators up to next-to-leading order and provides preliminary lattice calculation results.

Findings

Expansion formula derived for current-current correlators.

Preliminary numerical calculations performed with four-point functions.

Method potentially simplifies lattice computations of PDFs.

Abstract

The universality of the large momentum expansion allows computing parton distribution functions (PDFs) starting from any Euclidean correlator with appropriate large momentum Fourier Components. Here we consider current-current correlators which have been used in short-distance expansion to obtain moments of PDFs. The advantage of such correlators is that they have simple renormalization properties and do not have linear power divergences as in quasi-PDF. However, in lattice calculations, four-point functions are needed. Here we present an expansion formula with current-current correlators up to the next-to-leading order, and preliminary numerical calculations with four-point functions.