Factorization for quasi-TMD distributions of sub-leading power
Abstract The quasi-transverse-momentum dependent (qTMD) distributions are equal-time correlators that can be computed within the lattice QCD approach. In the regime of large hadron’s momentum, qTMD distributions are expressed in terms of standard TMD distributions via the factorization theorem. We d...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2023)117 |
| _version_ | 1797371229350395904 |
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| author | Simone Rodini Alexey Vladimirov |
| author_facet | Simone Rodini Alexey Vladimirov |
| author_sort | Simone Rodini |
| collection | DOAJ |
| description | Abstract The quasi-transverse-momentum dependent (qTMD) distributions are equal-time correlators that can be computed within the lattice QCD approach. In the regime of large hadron’s momentum, qTMD distributions are expressed in terms of standard TMD distributions via the factorization theorem. We derive the corresponding factorization theorem at the next-to-leading power (NLP), and, for the first time, we present the factorized expressions for a large class of qTMD distributions of sub-leading power. The NLP expression contains TMD distributions of twist-two, twist-three, and a new lattice-specific nonperturbative function. We point out that some of the qTMD distributions considered in this work can be employed to extract the Collins-Soper kernel using the standard techniques of different-momenta ratios. We provide NLO expressions for all the elements of the factorization theorem. Also, for the first time, we explicitly demonstrate the restoration of boost invariance of the TMD factorization at NLP. |
| first_indexed | 2024-03-08T18:16:52Z |
| format | Article |
| id | doaj.art-b1c28d26dbe343d891829cc5e985b2f0 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T18:16:52Z |
| publishDate | 2023-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b1c28d26dbe343d891829cc5e985b2f02023-12-31T12:08:02ZengSpringerOpenJournal of High Energy Physics1029-84792023-09-012023914310.1007/JHEP09(2023)117Factorization for quasi-TMD distributions of sub-leading powerSimone Rodini0Alexey Vladimirov1CPHT, CNRS, Ecole Polytechnique, Institut Polytechnique de ParisDepartamento de Física Teórica & IPARCOS, Universidad Complutense de MadridAbstract The quasi-transverse-momentum dependent (qTMD) distributions are equal-time correlators that can be computed within the lattice QCD approach. In the regime of large hadron’s momentum, qTMD distributions are expressed in terms of standard TMD distributions via the factorization theorem. We derive the corresponding factorization theorem at the next-to-leading power (NLP), and, for the first time, we present the factorized expressions for a large class of qTMD distributions of sub-leading power. The NLP expression contains TMD distributions of twist-two, twist-three, and a new lattice-specific nonperturbative function. We point out that some of the qTMD distributions considered in this work can be employed to extract the Collins-Soper kernel using the standard techniques of different-momenta ratios. We provide NLO expressions for all the elements of the factorization theorem. Also, for the first time, we explicitly demonstrate the restoration of boost invariance of the TMD factorization at NLP.https://doi.org/10.1007/JHEP09(2023)117FactorizationRenormalization GroupParton Distributions |
| spellingShingle | Simone Rodini Alexey Vladimirov Factorization for quasi-TMD distributions of sub-leading power Journal of High Energy Physics Factorization Renormalization Group Parton Distributions |
| title | Factorization for quasi-TMD distributions of sub-leading power |
| title_full | Factorization for quasi-TMD distributions of sub-leading power |
| title_fullStr | Factorization for quasi-TMD distributions of sub-leading power |
| title_full_unstemmed | Factorization for quasi-TMD distributions of sub-leading power |
| title_short | Factorization for quasi-TMD distributions of sub-leading power |
| title_sort | factorization for quasi tmd distributions of sub leading power |
| topic | Factorization Renormalization Group Parton Distributions |
| url | https://doi.org/10.1007/JHEP09(2023)117 |
| work_keys_str_mv | AT simonerodini factorizationforquasitmddistributionsofsubleadingpower AT alexeyvladimirov factorizationforquasitmddistributionsofsubleadingpower |