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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American Physical Society (APS)
2021
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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. |
first_indexed | 2024-09-23T10:56:38Z |
format | Article |
id | mit-1721.1/135938 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T10:56:38Z |
publishDate | 2021 |
publisher | American Physical Society (APS) |
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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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