Renormalization and matching for the Collins-Soper kernel from lattice QCD
Abstract The Collins-Soper kernel, which governs the energy evolution of transverse- momentum dependent parton distribution functions (TMDPDFs), is required to accurately predict Drell-Yan like processes at small transverse momentum, and is a key ingredient for extracting TMDPDFs from experiment....
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2021
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| Online Access: | https://hdl.handle.net/1721.1/131696 |
| _version_ | 1826190923809161216 |
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| author | Ebert, Markus A Stewart, Iain W Zhao, Yong |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Ebert, Markus A Stewart, Iain W Zhao, Yong |
| author_sort | Ebert, Markus A |
| collection | MIT |
| description | Abstract
The Collins-Soper kernel, which governs the energy evolution of transverse- momentum dependent parton distribution functions (TMDPDFs), is required to accurately predict Drell-Yan like processes at small transverse momentum, and is a key ingredient for extracting TMDPDFs from experiment. Earlier we proposed a method to calculate this kernel from ratios of the so-called quasi-TMDPDFs determined with lattice QCD, which are defined as hadronic matrix elements of staple-shaped Euclidean Wilson line operators. Here we provide the one-loop renormalization of these operators in a regularization-independent momentum subtraction (RI′/MOM) scheme, as well as the conversion factor from the RI′/MOM-renormalized quasi-TMDPDF to the MS¯$$ \overline{\mathrm{MS}} $$ scheme. We also propose a procedure for calculating the Collins-Soper kernel directly from position space correlators, which simplifies the lattice determination. |
| first_indexed | 2024-09-23T08:47:24Z |
| format | Article |
| id | mit-1721.1/131696 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:47:24Z |
| publishDate | 2021 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1316962023-12-08T20:32:57Z Renormalization and matching for the Collins-Soper kernel from lattice QCD Ebert, Markus A Stewart, Iain W Zhao, Yong Massachusetts Institute of Technology. Center for Theoretical Physics Abstract The Collins-Soper kernel, which governs the energy evolution of transverse- momentum dependent parton distribution functions (TMDPDFs), is required to accurately predict Drell-Yan like processes at small transverse momentum, and is a key ingredient for extracting TMDPDFs from experiment. Earlier we proposed a method to calculate this kernel from ratios of the so-called quasi-TMDPDFs determined with lattice QCD, which are defined as hadronic matrix elements of staple-shaped Euclidean Wilson line operators. Here we provide the one-loop renormalization of these operators in a regularization-independent momentum subtraction (RI′/MOM) scheme, as well as the conversion factor from the RI′/MOM-renormalized quasi-TMDPDF to the MS¯$$ \overline{\mathrm{MS}} $$ scheme. We also propose a procedure for calculating the Collins-Soper kernel directly from position space correlators, which simplifies the lattice determination. 2021-09-20T17:29:44Z 2021-09-20T17:29:44Z 2020-03-17 2020-06-26T13:19:53Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131696 Journal of High Energy Physics. 2020 Mar 17;2020(3):99 PUBLISHER_CC en https://doi.org/10.1007/JHEP03(2020)099 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Ebert, Markus A Stewart, Iain W Zhao, Yong Renormalization and matching for the Collins-Soper kernel from lattice QCD |
| title | Renormalization and matching for the Collins-Soper kernel from lattice QCD |
| title_full | Renormalization and matching for the Collins-Soper kernel from lattice QCD |
| title_fullStr | Renormalization and matching for the Collins-Soper kernel from lattice QCD |
| title_full_unstemmed | Renormalization and matching for the Collins-Soper kernel from lattice QCD |
| title_short | Renormalization and matching for the Collins-Soper kernel from lattice QCD |
| title_sort | renormalization and matching for the collins soper kernel from lattice qcd |
| url | https://hdl.handle.net/1721.1/131696 |
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