Document Type

Article

Publication Date

2021

DOI

10.1007/jhep11(2021)024

Publication Title

Journal of High Energy Physics

Issue

11

Pages

24 (1-57)

Abstract

In this study, we present continuum limit results for the unpolarized parton distribution function of the nucleon computed in lattice QCD. This study is the first continuum limit using the pseudo-PDF approach with Short Distance Factorization for factorizing lattice QCD calculable matrix elements. Our findings are also compared with the pertinent phenomenological determinations. Inter alia, we are employing the summation Generalized Eigenvalue Problem (sGEVP) technique in order to optimize our control over the excited state contamination which can be one of the most serious systematic errors in this type of calculations. A crucial novel ingredient of our analysis is the parameterization of systematic errors using Jacobi polynomials to characterize and remove both lattice spacing and higher twist contaminations, as well as the leading twist distribution. This method can be expanded in further studies to remove all other systematic errors.

Comments

© 2021 The Authors.

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Original Publication Citation

Karpie, J., Orginos, K., Radyushkin, A., Zafeiropoulos, S., for the HadStruc collaboration. (2021). The continuum and leading twist limits of parton distribution functions in lattice QCD. Journal of High Energy Physics (11), 1-57, Article 24. https://doi.org/10.1007/jhep11(2021)024

ORCID

0000-0002-9326-1300 (Radyushkin)

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