Parton Distribution Functions from Ioffe time pseudo-distributions
B\'alint Jo\'o, Joseph Karpie, Kostas Orginos, Anatoly Radyushkin,, David Richards, Savvas Zafeiropoulos

TL;DR
This paper investigates unpolarized nucleon parton distribution functions using lattice QCD and parton pseudo-distributions, providing systematic analysis and comparison with phenomenological data.
Contribution
It introduces a detailed lattice QCD study of PDFs employing pseudo-distributions, including continuum and volume extrapolations, and compares moments with phenomenology.
Findings
Systematic lattice analysis of PDFs at different spacings and volumes.
First two moments of PDFs computed and compared with phenomenological results.
Estimation of systematic errors in lattice extrapolations.
Abstract
In this paper, we present a detailed study of the unpolarized nucleon parton distribution function (PDF) employing the approach of parton pseudo-distribution functions. We perform a systematic analysis using three lattice ensembles at two volumes, with lattice spacings 0.127 fm and 0.094 fm, for a pion mass of roughly 400 MeV. With two lattice spacings and two volumes, both continuum limit and infinite volume extrapolation systematic errors of the PDF are estimated. In addition to the dependence of the PDF, we compute their first two moments and compare them with the pertinent phenomenological determinations.
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