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

Fuente: arXiv
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Autori principali: Zhang, Jialu, Ji, Xiangdong, Schäfer, Andreas, Zhang, Rui, Zimmermann, Christian
Natura: Preprint
Pubblicazione: 2026
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author Zhang, Jialu
Ji, Xiangdong
Schäfer, Andreas
Zhang, Rui
Zimmermann, Christian
author_facet Zhang, Jialu
Ji, Xiangdong
Schäfer, Andreas
Zhang, Rui
Zimmermann, Christian
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_03234
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Parton Distribution Functions from Large Momentum Expansion of Current-Current Correlators
Zhang, Jialu
Ji, Xiangdong
Schäfer, Andreas
Zhang, Rui
Zimmermann, Christian
High Energy Physics - Phenomenology
High Energy Physics - Lattice
Nuclear Theory
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.
title Parton Distribution Functions from Large Momentum Expansion of Current-Current Correlators
topic High Energy Physics - Phenomenology
High Energy Physics - Lattice
Nuclear Theory
url https://arxiv.org/abs/2605.03234