The continuum and leading twist limits of parton distribution functions in lattice QCD

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 el...

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Autores principales:	Joseph Karpie, Kostas Orginos, Anatoly Radyushkin, Savvas Zafeiropoulos, for the HadStruc collaboration
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Lattice QCD Lattice Quantum Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/8496d9432de54f4db56ba8a1b10b00c6
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spelling	oai:doaj.org-article:8496d9432de54f4db56ba8a1b10b00c62021-11-14T12:40:57ZThe continuum and leading twist limits of parton distribution functions in lattice QCD10.1007/JHEP11(2021)0241029-8479https://doaj.org/article/8496d9432de54f4db56ba8a1b10b00c62021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)024https://doaj.org/toc/1029-8479Abstract 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.Joseph KarpieKostas OrginosAnatoly RadyushkinSavvas Zafeiropoulosfor the HadStruc collaborationSpringerOpenarticleLattice QCDLattice Quantum Field TheoryNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-58 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Lattice QCD Lattice Quantum Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Lattice QCD Lattice Quantum Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Joseph Karpie Kostas Orginos Anatoly Radyushkin Savvas Zafeiropoulos for the HadStruc collaboration The continuum and leading twist limits of parton distribution functions in lattice QCD
description	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.
format	article
author	Joseph Karpie Kostas Orginos Anatoly Radyushkin Savvas Zafeiropoulos for the HadStruc collaboration
author_facet	Joseph Karpie Kostas Orginos Anatoly Radyushkin Savvas Zafeiropoulos for the HadStruc collaboration
author_sort	Joseph Karpie
title	The continuum and leading twist limits of parton distribution functions in lattice QCD
title_short	The continuum and leading twist limits of parton distribution functions in lattice QCD
title_full	The continuum and leading twist limits of parton distribution functions in lattice QCD
title_fullStr	The continuum and leading twist limits of parton distribution functions in lattice QCD
title_full_unstemmed	The continuum and leading twist limits of parton distribution functions in lattice QCD
title_sort	continuum and leading twist limits of parton distribution functions in lattice qcd
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/8496d9432de54f4db56ba8a1b10b00c6
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The continuum and leading twist limits of parton distribution functions in lattice QCD

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