One-loop structure of parton distribution for the gluon condensate and “zero modes”

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 gluon...

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Main Authors:	Anatoly Radyushkin, Shuai Zhao
Format:	article
Language:	EN
Published:	SpringerOpen 2021
Subjects:	NLO Computations QCD Phenomenology Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Online Access:	https://doaj.org/article/a2d9b2fadd0344a691f061966c0c45da
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spelling	oai:doaj.org-article:a2d9b2fadd0344a691f061966c0c45da2021-12-05T12:25:22ZOne-loop structure of parton distribution for the gluon condensate and “zero modes”10.1007/JHEP12(2021)0101029-8479https://doaj.org/article/a2d9b2fadd0344a691f061966c0c45da2021-12-01T00:00:00Zhttps://doi.org/10.1007/JHEP12(2021)010https://doaj.org/toc/1029-8479Abstract 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 q 2 δ(x) term was found for the ξ = 0 GPD F(x, q 2) 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.Anatoly RadyushkinShuai ZhaoSpringerOpenarticleNLO ComputationsQCD PhenomenologyNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 12, Pp 1-15 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	NLO Computations QCD Phenomenology Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	NLO Computations QCD Phenomenology Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Anatoly Radyushkin Shuai Zhao One-loop structure of parton distribution for the gluon condensate and “zero modes”
description	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 q 2 δ(x) term was found for the ξ = 0 GPD F(x, q 2) 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.
format	article
author	Anatoly Radyushkin Shuai Zhao
author_facet	Anatoly Radyushkin Shuai Zhao
author_sort	Anatoly Radyushkin
title	One-loop structure of parton distribution for the gluon condensate and “zero modes”
title_short	One-loop structure of parton distribution for the gluon condensate and “zero modes”
title_full	One-loop structure of parton distribution for the gluon condensate and “zero modes”
title_fullStr	One-loop structure of parton distribution for the gluon condensate and “zero modes”
title_full_unstemmed	One-loop structure of parton distribution for the gluon condensate and “zero modes”
title_sort	one-loop structure of parton distribution for the gluon condensate and “zero modes”
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/a2d9b2fadd0344a691f061966c0c45da
work_keys_str_mv	AT anatolyradyushkin oneloopstructureofpartondistributionforthegluoncondensateandzeromodes AT shuaizhao oneloopstructureofpartondistributionforthegluoncondensateandzeromodes
_version_	1718371976148418560

One-loop structure of parton distribution for the gluon condensate and “zero modes”

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