Matching the quasiparton distribution in a momentum subtraction scheme
The quasiparton distribution is a spatial correlation of quarks or gluons along the z direction in a moving nucleon which enables direct lattice calculations of parton distribution functions. It can be defined with a nonperturbative renormalization in a regularization independent momentum subtractio...
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| Format: | Article |
| Language: | English |
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American Physical Society
2018
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| Online Access: | http://hdl.handle.net/1721.1/114541 https://orcid.org/0000-0003-0248-0979 |
| _version_ | 1826190754008006656 |
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| author | Stewart, Iain W Zhao, Yong |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Stewart, Iain W Zhao, Yong |
| author_sort | Stewart, Iain W |
| collection | MIT |
| description | The quasiparton distribution is a spatial correlation of quarks or gluons along the z direction in a moving nucleon which enables direct lattice calculations of parton distribution functions. It can be defined with a nonperturbative renormalization in a regularization independent momentum subtraction scheme (RI/MOM), which can then be perturbatively related to the collinear parton distribution in the MS[over ¯] scheme. Here we carry out a direct matching from the RI/MOM scheme for the quasi-PDF to the MS[over ¯] PDF, determining the non-singlet quark matching coefficient at next-to-leading order in perturbation theory. We find that the RI/MOM matching coefficient is insensitive to the ultraviolet region of convolution integral, exhibits improved perturbative convergence when converting between the quasi-PDF and PDF, and is consistent with a quasi-PDF that vanishes in the unphysical region as the proton momentum P[superscript z]→∞, unlike other schemes. This direct approach therefore has the potential to improve the accuracy for converting quasidistribution lattice calculations to collinear distributions. |
| first_indexed | 2024-09-23T08:45:10Z |
| format | Article |
| id | mit-1721.1/114541 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:45:10Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1145412022-09-23T14:19:41Z Matching the quasiparton distribution in a momentum subtraction scheme Stewart, Iain W Zhao, Yong Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Stewart, Iain W Zhao, Yong The quasiparton distribution is a spatial correlation of quarks or gluons along the z direction in a moving nucleon which enables direct lattice calculations of parton distribution functions. It can be defined with a nonperturbative renormalization in a regularization independent momentum subtraction scheme (RI/MOM), which can then be perturbatively related to the collinear parton distribution in the MS[over ¯] scheme. Here we carry out a direct matching from the RI/MOM scheme for the quasi-PDF to the MS[over ¯] PDF, determining the non-singlet quark matching coefficient at next-to-leading order in perturbation theory. We find that the RI/MOM matching coefficient is insensitive to the ultraviolet region of convolution integral, exhibits improved perturbative convergence when converting between the quasi-PDF and PDF, and is consistent with a quasi-PDF that vanishes in the unphysical region as the proton momentum P[superscript z]→∞, unlike other schemes. This direct approach therefore has the potential to improve the accuracy for converting quasidistribution lattice calculations to collinear distributions. United States. Department of Energy (Grant DE-SC0011090) Simons Foundation (Grant 327942) 2018-04-04T16:20:21Z 2018-04-04T16:20:21Z 2018-03 2017-09 2018-03-22T18:00:38Z Article http://purl.org/eprint/type/JournalArticle 2470-0010 2470-0029 http://hdl.handle.net/1721.1/114541 Stewart, Iain W. and Yong Zhao. "Matching the quasiparton distribution in a momentum subtraction scheme." Physical Review D 97, 5 (March 2018) : 054512 https://orcid.org/0000-0003-0248-0979 en http://dx.doi.org/10.1103/PhysRevD.97.054512 Physical Review D Creative Commons Attribution http://creativecommons.org/licenses/by/3.0 application/pdf American Physical Society American Physical Society |
| spellingShingle | Stewart, Iain W Zhao, Yong Matching the quasiparton distribution in a momentum subtraction scheme |
| title | Matching the quasiparton distribution in a momentum subtraction scheme |
| title_full | Matching the quasiparton distribution in a momentum subtraction scheme |
| title_fullStr | Matching the quasiparton distribution in a momentum subtraction scheme |
| title_full_unstemmed | Matching the quasiparton distribution in a momentum subtraction scheme |
| title_short | Matching the quasiparton distribution in a momentum subtraction scheme |
| title_sort | matching the quasiparton distribution in a momentum subtraction scheme |
| url | http://hdl.handle.net/1721.1/114541 https://orcid.org/0000-0003-0248-0979 |
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