Parton Distribution Functions from Ioffe time pseudo-distributions

Bálint Joó; Joseph Karpie; Kostas Orginos; Anatoly Radyushkin; David Richards; Savvas Zafeiropoulos

doi:10.1007/JHEP12(2019)081

Parton Distribution Functions from Ioffe time pseudo-distributions

High Energy Physics - Lattice 2020-01-29 v3 High Energy Physics - Phenomenology

Authors: Bálint Joó , Joseph Karpie , Kostas Orginos , Anatoly Radyushkin , David Richards , Savvas Zafeiropoulos

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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 $a=$ 0.127 fm and $a=$ 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 $x$ dependence of the PDF, we compute their first two moments and compare them with the pertinent phenomenological determinations.

Keywords

parton distribution functions

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@article{arxiv.1908.09771,
  title  = {Parton Distribution Functions from Ioffe time pseudo-distributions},
  author = {Bálint Joó and Joseph Karpie and Kostas Orginos and Anatoly Radyushkin and David Richards and Savvas Zafeiropoulos},
  journal= {arXiv preprint arXiv:1908.09771},
  year   = {2020}
}

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1+46 pages, 21 figures

Parton Distribution Functions from Ioffe time pseudo-distributions

Abstract

Keywords

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