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.
@article{arxiv.2605.03234,
title = {Parton Distribution Functions from Large Momentum Expansion of Current-Current Correlators},
author = {Jialu Zhang and Xiangdong Ji and Andreas Schäfer and Rui Zhang and Christian Zimmermann},
journal= {arXiv preprint arXiv:2605.03234},
year = {2026}
}