Gluon PDF from quark dressing in the nucleon and pion

Gluon dressing of the light quarks within hadrons is very strong and extremely important in that it dynamically generates most of the observable mass through the breaking of chiral symmetry. The quark and gluon parton densities, q(x) and g(x), are necessarily interrelated since any gluon emission an...

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Autores principales:	Adam Freese, Ian C. Cloët, Peter C. Tandy
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/4f077e0ebd7a4470ae1dc7d792320931
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spelling	oai:doaj.org-article:4f077e0ebd7a4470ae1dc7d7923209312021-12-04T04:32:22ZGluon PDF from quark dressing in the nucleon and pion0370-269310.1016/j.physletb.2021.136719https://doaj.org/article/4f077e0ebd7a4470ae1dc7d7923209312021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0370269321006596https://doaj.org/toc/0370-2693Gluon dressing of the light quarks within hadrons is very strong and extremely important in that it dynamically generates most of the observable mass through the breaking of chiral symmetry. The quark and gluon parton densities, q(x) and g(x), are necessarily interrelated since any gluon emission and absorption process, especially dressing of a quark, contributes to g(x) and modifies q(x). Guided by long-established results for the parton-in-parton distributions from a strict 1-loop perturbative analysis of a quark target, we extend the non-perturbative QCD approach based on the Rainbow-Ladder truncation of the Dyson-Schwinger equations to describe the interrelated valence qv(x) and the dressing-gluon g(x) for a hadron at its intrinsic model scale. We employ the pion description from previous DSE work that accounted for the gluon-in-quark effect, and introduce a simple model of the nucleon for exploratory purposes. We find typically 〈x〉g∼0.20 for both pion and nucleon at the model scale, and the valence quark helicity contributes 52% of nucleon spin. We deduce both qv(x) and g(x) from 30 calculated Mellin moments, and after adopting existing data analysis results for qsea(x), we find that NLO scale evolution produces g(x) in good agreement with existing data analysis results for the pion at 1.3 GeV and the nucleon at 5 GeV2. At the scale 2 GeV typical of lattice-QCD calculations, we obtain 〈x〉gN=0.42 in good agreement with 0.38 from the average of recent lattice-QCD calculations.Adam FreeseIan C. CloëtPeter C. TandyElsevierarticlePhysicsQC1-999ENPhysics Letters B, Vol 823, Iss , Pp 136719- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Adam Freese Ian C. Cloët Peter C. Tandy Gluon PDF from quark dressing in the nucleon and pion
description	Gluon dressing of the light quarks within hadrons is very strong and extremely important in that it dynamically generates most of the observable mass through the breaking of chiral symmetry. The quark and gluon parton densities, q(x) and g(x), are necessarily interrelated since any gluon emission and absorption process, especially dressing of a quark, contributes to g(x) and modifies q(x). Guided by long-established results for the parton-in-parton distributions from a strict 1-loop perturbative analysis of a quark target, we extend the non-perturbative QCD approach based on the Rainbow-Ladder truncation of the Dyson-Schwinger equations to describe the interrelated valence qv(x) and the dressing-gluon g(x) for a hadron at its intrinsic model scale. We employ the pion description from previous DSE work that accounted for the gluon-in-quark effect, and introduce a simple model of the nucleon for exploratory purposes. We find typically 〈x〉g∼0.20 for both pion and nucleon at the model scale, and the valence quark helicity contributes 52% of nucleon spin. We deduce both qv(x) and g(x) from 30 calculated Mellin moments, and after adopting existing data analysis results for qsea(x), we find that NLO scale evolution produces g(x) in good agreement with existing data analysis results for the pion at 1.3 GeV and the nucleon at 5 GeV2. At the scale 2 GeV typical of lattice-QCD calculations, we obtain 〈x〉gN=0.42 in good agreement with 0.38 from the average of recent lattice-QCD calculations.
format	article
author	Adam Freese Ian C. Cloët Peter C. Tandy
author_facet	Adam Freese Ian C. Cloët Peter C. Tandy
author_sort	Adam Freese
title	Gluon PDF from quark dressing in the nucleon and pion
title_short	Gluon PDF from quark dressing in the nucleon and pion
title_full	Gluon PDF from quark dressing in the nucleon and pion
title_fullStr	Gluon PDF from quark dressing in the nucleon and pion
title_full_unstemmed	Gluon PDF from quark dressing in the nucleon and pion
title_sort	gluon pdf from quark dressing in the nucleon and pion
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/4f077e0ebd7a4470ae1dc7d792320931
work_keys_str_mv	AT adamfreese gluonpdffromquarkdressinginthenucleonandpion AT ianccloet gluonpdffromquarkdressinginthenucleonandpion AT peterctandy gluonpdffromquarkdressinginthenucleonandpion
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Gluon PDF from quark dressing in the nucleon and pion

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