QCD factorization of quasi generalized gluon distributions
Abstract We study the factorization relations between quasi gluon GPDs and twist-2 GPDs. The perturbative coefficient functions are obtained at one-loop level. They are free from any collinear- or I.R. divergences. Unlike the case of the factorization of quasi quark GPDs at one-loop, we have to add...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2023)001 |
| _version_ | 1827890586458259456 |
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| author | J. P. Ma Z. Y. Pang C. P. Zhang G. P. Zhang |
| author_facet | J. P. Ma Z. Y. Pang C. P. Zhang G. P. Zhang |
| author_sort | J. P. Ma |
| collection | DOAJ |
| description | Abstract We study the factorization relations between quasi gluon GPDs and twist-2 GPDs. The perturbative coefficient functions are obtained at one-loop level. They are free from any collinear- or I.R. divergences. Unlike the case of the factorization of quasi quark GPDs at one-loop, we have to add ghost contributions for the factorization of quasi gluon GPDs in order to obtain gauge-invariant results. In general, operators will be mixed beyond tree-level. Our work shows that the mixing pattern of the nonlocal operators in quasi gluon GPDs is the same as those of local operators, i.e., the nonlocal operators considered are mixed with gauge-invariant operators, BRST-variation operators and operators involving EOM operator. The factorization relations are obtained for all quasi gluon GPDs. Taking the forward limit, we also obtain the relations between quasi gluon PDFs and twist-2 PDFs. |
| first_indexed | 2024-03-12T21:12:48Z |
| format | Article |
| id | doaj.art-4a8fb4ff939843989405809cadbeb089 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T21:12:48Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-4a8fb4ff939843989405809cadbeb0892023-07-30T11:04:03ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023412710.1007/JHEP04(2023)001QCD factorization of quasi generalized gluon distributionsJ. P. Ma0Z. Y. Pang1C. P. Zhang2G. P. Zhang3CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, P.O. Box 2735, Chinese Academy of SciencesCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, P.O. Box 2735, Chinese Academy of SciencesCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, P.O. Box 2735, Chinese Academy of SciencesDepartment of Physics, Yunnan UniversityAbstract We study the factorization relations between quasi gluon GPDs and twist-2 GPDs. The perturbative coefficient functions are obtained at one-loop level. They are free from any collinear- or I.R. divergences. Unlike the case of the factorization of quasi quark GPDs at one-loop, we have to add ghost contributions for the factorization of quasi gluon GPDs in order to obtain gauge-invariant results. In general, operators will be mixed beyond tree-level. Our work shows that the mixing pattern of the nonlocal operators in quasi gluon GPDs is the same as those of local operators, i.e., the nonlocal operators considered are mixed with gauge-invariant operators, BRST-variation operators and operators involving EOM operator. The factorization relations are obtained for all quasi gluon GPDs. Taking the forward limit, we also obtain the relations between quasi gluon PDFs and twist-2 PDFs.https://doi.org/10.1007/JHEP04(2023)001FactorizationRenormalization GroupParton Distributions |
| spellingShingle | J. P. Ma Z. Y. Pang C. P. Zhang G. P. Zhang QCD factorization of quasi generalized gluon distributions Journal of High Energy Physics Factorization Renormalization Group Parton Distributions |
| title | QCD factorization of quasi generalized gluon distributions |
| title_full | QCD factorization of quasi generalized gluon distributions |
| title_fullStr | QCD factorization of quasi generalized gluon distributions |
| title_full_unstemmed | QCD factorization of quasi generalized gluon distributions |
| title_short | QCD factorization of quasi generalized gluon distributions |
| title_sort | qcd factorization of quasi generalized gluon distributions |
| topic | Factorization Renormalization Group Parton Distributions |
| url | https://doi.org/10.1007/JHEP04(2023)001 |
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