One-loop matching for gluon lattice TMDs
Abstract Transverse-momentum-dependent parton distributions (TMDs) can be calculated from first principles by computing a related set of Euclidean lattice observables and connecting them via a factorization formula. This work focuses on the leading-power factorization formula connecting the lattice...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2022)084 |
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| author | Stella T. Schindler Iain W. Stewart Yong Zhao |
| author_facet | Stella T. Schindler Iain W. Stewart Yong Zhao |
| author_sort | Stella T. Schindler |
| collection | DOAJ |
| description | Abstract Transverse-momentum-dependent parton distributions (TMDs) can be calculated from first principles by computing a related set of Euclidean lattice observables and connecting them via a factorization formula. This work focuses on the leading-power factorization formula connecting the lattice quasi-TMD and continuum Collins TMD for gluons. We calculate the one-loop gluon matching coefficient, which is known to be independent of spin and exhibits no mixing with quarks. We demonstrate that this coefficient satisfies Casimir scaling with respect to the quark matching coefficient at one-loop order. Our result facilitates reliable lattice QCD calculations of gluon TMDs. |
| first_indexed | 2024-04-13T11:26:46Z |
| format | Article |
| id | doaj.art-b00473223bea41c4b0ba41e16039a824 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T11:26:46Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b00473223bea41c4b0ba41e16039a8242022-12-22T02:48:41ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022811710.1007/JHEP08(2022)084One-loop matching for gluon lattice TMDsStella T. Schindler0Iain W. Stewart1Yong Zhao2Center for Theoretical Physics, Massachusetts Institute of TechnologyCenter for Theoretical Physics, Massachusetts Institute of TechnologyPhysics Division, Argonne National LaboratoryAbstract Transverse-momentum-dependent parton distributions (TMDs) can be calculated from first principles by computing a related set of Euclidean lattice observables and connecting them via a factorization formula. This work focuses on the leading-power factorization formula connecting the lattice quasi-TMD and continuum Collins TMD for gluons. We calculate the one-loop gluon matching coefficient, which is known to be independent of spin and exhibits no mixing with quarks. We demonstrate that this coefficient satisfies Casimir scaling with respect to the quark matching coefficient at one-loop order. Our result facilitates reliable lattice QCD calculations of gluon TMDs.https://doi.org/10.1007/JHEP08(2022)084Effective Field Theories of QCDFactorizationRenormalization GroupLattice QCDParton Distributions |
| spellingShingle | Stella T. Schindler Iain W. Stewart Yong Zhao One-loop matching for gluon lattice TMDs Journal of High Energy Physics Effective Field Theories of QCD Factorization Renormalization Group Lattice QCD Parton Distributions |
| title | One-loop matching for gluon lattice TMDs |
| title_full | One-loop matching for gluon lattice TMDs |
| title_fullStr | One-loop matching for gluon lattice TMDs |
| title_full_unstemmed | One-loop matching for gluon lattice TMDs |
| title_short | One-loop matching for gluon lattice TMDs |
| title_sort | one loop matching for gluon lattice tmds |
| topic | Effective Field Theories of QCD Factorization Renormalization Group Lattice QCD Parton Distributions |
| url | https://doi.org/10.1007/JHEP08(2022)084 |
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