Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD

© 2020 authors. Published by the American Physical Society. Quark bilinear operators with staple-shaped Wilson lines are used to study transverse-momentum-dependent parton distribution functions (TMDPDFs) from lattice quantum chromodynamics (QCD). Here, the renormalization factors for the isovector...

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Main Authors: Shanahan, Phiala, Wagman, Michael L, Zhao, Yong
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:English
Published: American Physical Society (APS) 2021
Online Access:https://hdl.handle.net/1721.1/135938
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author Shanahan, Phiala
Wagman, Michael L
Zhao, Yong
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
Shanahan, Phiala
Wagman, Michael L
Zhao, Yong
author_sort Shanahan, Phiala
collection MIT
description © 2020 authors. Published by the American Physical Society. Quark bilinear operators with staple-shaped Wilson lines are used to study transverse-momentum-dependent parton distribution functions (TMDPDFs) from lattice quantum chromodynamics (QCD). Here, the renormalization factors for the isovector operators, including all mixings between operators with different Dirac structures, are computed nonperturbatively in the regularization-independent momentum subtraction scheme for the first time. This study is undertaken in quenched QCD with three different lattice spacings. With Wilson flow applied to the gauge fields in the calculations, the operator mixing pattern due to chiral symmetry breaking with the lattice regularization is found to be significantly different from that predicted by one-loop lattice perturbation theory calculations. These results constitute a critical step toward the systematic extraction of TMDPDFs from lattice QCD.
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spelling mit-1721.1/1359382023-09-27T17:51:12Z Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD Shanahan, Phiala Wagman, Michael L Zhao, Yong Massachusetts Institute of Technology. Center for Theoretical Physics © 2020 authors. Published by the American Physical Society. Quark bilinear operators with staple-shaped Wilson lines are used to study transverse-momentum-dependent parton distribution functions (TMDPDFs) from lattice quantum chromodynamics (QCD). Here, the renormalization factors for the isovector operators, including all mixings between operators with different Dirac structures, are computed nonperturbatively in the regularization-independent momentum subtraction scheme for the first time. This study is undertaken in quenched QCD with three different lattice spacings. With Wilson flow applied to the gauge fields in the calculations, the operator mixing pattern due to chiral symmetry breaking with the lattice regularization is found to be significantly different from that predicted by one-loop lattice perturbation theory calculations. These results constitute a critical step toward the systematic extraction of TMDPDFs from lattice QCD. 2021-10-27T20:30:02Z 2021-10-27T20:30:02Z 2020 2021-07-09T14:30:14Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/135938 en 10.1103/PHYSREVD.101.074505 Physical Review D Creative Commons Attribution 4.0 International license https://creativecommons.org/licenses/by/4.0/ application/pdf American Physical Society (APS) APS
spellingShingle Shanahan, Phiala
Wagman, Michael L
Zhao, Yong
Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD
title Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD
title_full Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD
title_fullStr Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD
title_full_unstemmed Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD
title_short Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD
title_sort nonperturbative renormalization of staple shaped wilson line operators in lattice qcd
url https://hdl.handle.net/1721.1/135938
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