Document Type

Article

Publication Date

2021

DOI

10.1007/JHEP12(2021)010

Publication Title

Journal of High Energy Physics

Volume

2021

Issue

12

Pages

10 (1-15)

Abstract

We present results for one-loop corrections to the recently introduced “gluon condensate” PDF F(x). In particular, we give expression for the gg-part of its evolution kernel. To enforce strict compliance with the gauge invariance requirements, we have used on-shell states for external gluons, and have obtained identical results both in Feynman and light-cone gauges. No “zero mode” δ(x) terms were found for the twist-4 gluon PDF F(x). However a q2δ(x) term was found for the ξ = 0 GPD F(x, q2) at nonzero momentum transfer q. Overall, our results do not agree with the original attempt of one-loop calculations of F(x) for gluon states, which sets alarm warning for calculations that use matrix elements with virtual external gluons and for lattice renormalization procedures based on their results.

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

Radyushkin, A., & Zhao, S. (2021). One-loop structure of parton distribution for the gluon condensate and “zero modes”. Journal of High Energy Physics, 2021(12), 1-15, Article 10. https://doi.org/10.1007/JHEP12(2021)010

ORCID

0000-0002-9326-1300 (Radyushkin)

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