Gluon transverse-momentum-dependent distributions from large-momentum effective theory
Abstract We demonstrate that gluon transverse-momentum-dependent parton distribution functions (TMDPDFs) can be extracted from lattice calculations of appropriate Euclidean correlations in large-momentum effective theory (LaMET). Based on perturbative calculations of gluon unpolarized and helicity T...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2023)114 |
| _version_ | 1797779132597141504 |
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| author | Ruilin Zhu Yao Ji Jian-Hui Zhang Shuai Zhao |
| author_facet | Ruilin Zhu Yao Ji Jian-Hui Zhang Shuai Zhao |
| author_sort | Ruilin Zhu |
| collection | DOAJ |
| description | Abstract We demonstrate that gluon transverse-momentum-dependent parton distribution functions (TMDPDFs) can be extracted from lattice calculations of appropriate Euclidean correlations in large-momentum effective theory (LaMET). Based on perturbative calculations of gluon unpolarized and helicity TMDPDFs, we present a matching formula connecting them and their LaMET counterparts, where the latter are renormalized in a scheme facilitating lattice calculations and converted to the MS ¯ $$ \overline{\textrm{MS}} $$ scheme. The hard matching kernel is given up to one-loop level. We also show that the perturbative result is independent of the prescription used for the pinch-pole singularity in the relevant correlations. Our results offer a guidance for the extraction of gluon TMDPDFs from lattice simulations, and have the potential to greatly facilitate perturbative calculations of the hard matching kernel. |
| first_indexed | 2024-03-12T23:26:22Z |
| format | Article |
| id | doaj.art-98cabd695e744de79481ab41e7841ee1 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T23:26:22Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-98cabd695e744de79481ab41e7841ee12023-07-16T11:06:42ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023212210.1007/JHEP02(2023)114Gluon transverse-momentum-dependent distributions from large-momentum effective theoryRuilin Zhu0Yao Ji1Jian-Hui Zhang2Shuai Zhao3Department of Physics and Institute of Theoretical Physics, Nanjing Normal UniversityPhysik Department T31, Technische Universität MünchenSchool of Science and Engineering, The Chinese University of Hong KongDepartment of Physics, Old Dominion UniversityAbstract We demonstrate that gluon transverse-momentum-dependent parton distribution functions (TMDPDFs) can be extracted from lattice calculations of appropriate Euclidean correlations in large-momentum effective theory (LaMET). Based on perturbative calculations of gluon unpolarized and helicity TMDPDFs, we present a matching formula connecting them and their LaMET counterparts, where the latter are renormalized in a scheme facilitating lattice calculations and converted to the MS ¯ $$ \overline{\textrm{MS}} $$ scheme. The hard matching kernel is given up to one-loop level. We also show that the perturbative result is independent of the prescription used for the pinch-pole singularity in the relevant correlations. Our results offer a guidance for the extraction of gluon TMDPDFs from lattice simulations, and have the potential to greatly facilitate perturbative calculations of the hard matching kernel.https://doi.org/10.1007/JHEP02(2023)114Parton DistributionsEffective Field Theories of QCDFactorizationRenormalization GroupLattice QCD |
| spellingShingle | Ruilin Zhu Yao Ji Jian-Hui Zhang Shuai Zhao Gluon transverse-momentum-dependent distributions from large-momentum effective theory Journal of High Energy Physics Parton Distributions Effective Field Theories of QCD Factorization Renormalization Group Lattice QCD |
| title | Gluon transverse-momentum-dependent distributions from large-momentum effective theory |
| title_full | Gluon transverse-momentum-dependent distributions from large-momentum effective theory |
| title_fullStr | Gluon transverse-momentum-dependent distributions from large-momentum effective theory |
| title_full_unstemmed | Gluon transverse-momentum-dependent distributions from large-momentum effective theory |
| title_short | Gluon transverse-momentum-dependent distributions from large-momentum effective theory |
| title_sort | gluon transverse momentum dependent distributions from large momentum effective theory |
| topic | Parton Distributions Effective Field Theories of QCD Factorization Renormalization Group Lattice QCD |
| url | https://doi.org/10.1007/JHEP02(2023)114 |
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