Document Type

Article

Publication Date

2021

DOI

10.1007/JHEP11(2021)148

Publication Title

Journal of High Energy Physics

Volume

2021

Issue

11

Pages

148 (1-50)

Abstract

We apply the Distillation spatial smearing program to the extraction of the unpolarized isovector valence PDF of the nucleon. The improved volume sampling and control of excited-states afforded by distillation leads to a dramatically improved determination of the requisite Ioffe-time Pseudo-distribution (pITD). The impact of higher-twist effects is subsequently explored by extending the Wilson line length present in our non-local operators to one half the spatial extent of the lattice ensemble considered. The valence PDF is extracted by analyzing both the matched Ioffe-time Distribution (ITD), as well as a direct matching of the pITD to the PDF. Through development of a novel prescription to obtain the PDF from the pITD, we establish a concerning deviation of the pITD from the expected DGLAP evolution of the pseudo-PDF. The presence of DGLAP evolution is observed once more following introduction of a discretization term into the PDF extractions. Observance and correction of this discrepancy further highlights the utility of distillation in such structure studies.

Comments

© 2021 The Authors.

This work is published under a Creative Commons Attribution 4.0 International (CC BY 4.0) license.

Original Publication Citation

Egerer, C., Edwards, R. G., Kallidonis, C., Orginos, K., Radyushkin, A. V., Richards, D.G., et al. (2021). Towards high-precision parton distributions from lattice QCD via distillation. Journal of High Energy Physics, 2021(11), 1-50, Article 148. https://doi.org/10.1007/jhep11(2021)148

ORCID

0000-0002-9326-1300 (Radyushkin)

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