Gluon quasidistribution function at one loop
Abstract We study the unpolarized gluon quasidistribution function in the nucleon at one loop level in the large momentum effective theory. For the quark quasidistribution, power law ultraviolet divergences arise in the cut-off scheme and an important observation is that they all are subjected to Wi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-02-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-5617-3 |
| _version_ | 1828855060467023872 |
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| author | Wei Wang Shuai Zhao Ruilin Zhu |
| author_facet | Wei Wang Shuai Zhao Ruilin Zhu |
| author_sort | Wei Wang |
| collection | DOAJ |
| description | Abstract We study the unpolarized gluon quasidistribution function in the nucleon at one loop level in the large momentum effective theory. For the quark quasidistribution, power law ultraviolet divergences arise in the cut-off scheme and an important observation is that they all are subjected to Wilson lines. However for the gluon quasidistribution function, we first point out that the linear ultraviolet divergences also exist in the real diagram which is not connected to any Wilson line. We then study the one loop corrections to parton distribution functions in both cut-off scheme and dimensional regularization to deal with the ultraviolet divergences. In addition to the ordinary quark and gluon distributions, we also include the quark to gluon and gluon to quark splitting diagrams. The complete one-loop matching factors between the quasi and light cone parton distribution functions are presented in the cut-off scheme. We derive the $$P^z$$ Pz evolution equation for quasi parton distribution functions, and find that the $$P^z$$ Pz evolution kernels are identical to the DGLAP evolution kernels. |
| first_indexed | 2024-12-13T00:47:26Z |
| format | Article |
| id | doaj.art-10f5de5828b343848630e69639d8966e |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-13T00:47:26Z |
| publishDate | 2018-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-10f5de5828b343848630e69639d8966e2022-12-22T00:05:00ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-02-0178211910.1140/epjc/s10052-018-5617-3Gluon quasidistribution function at one loopWei Wang0Shuai Zhao1Ruilin Zhu2INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong UniversityINPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong UniversityINPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong UniversityAbstract We study the unpolarized gluon quasidistribution function in the nucleon at one loop level in the large momentum effective theory. For the quark quasidistribution, power law ultraviolet divergences arise in the cut-off scheme and an important observation is that they all are subjected to Wilson lines. However for the gluon quasidistribution function, we first point out that the linear ultraviolet divergences also exist in the real diagram which is not connected to any Wilson line. We then study the one loop corrections to parton distribution functions in both cut-off scheme and dimensional regularization to deal with the ultraviolet divergences. In addition to the ordinary quark and gluon distributions, we also include the quark to gluon and gluon to quark splitting diagrams. The complete one-loop matching factors between the quasi and light cone parton distribution functions are presented in the cut-off scheme. We derive the $$P^z$$ Pz evolution equation for quasi parton distribution functions, and find that the $$P^z$$ Pz evolution kernels are identical to the DGLAP evolution kernels.http://link.springer.com/article/10.1140/epjc/s10052-018-5617-3 |
| spellingShingle | Wei Wang Shuai Zhao Ruilin Zhu Gluon quasidistribution function at one loop European Physical Journal C: Particles and Fields |
| title | Gluon quasidistribution function at one loop |
| title_full | Gluon quasidistribution function at one loop |
| title_fullStr | Gluon quasidistribution function at one loop |
| title_full_unstemmed | Gluon quasidistribution function at one loop |
| title_short | Gluon quasidistribution function at one loop |
| title_sort | gluon quasidistribution function at one loop |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-5617-3 |
| work_keys_str_mv | AT weiwang gluonquasidistributionfunctionatoneloop AT shuaizhao gluonquasidistributionfunctionatoneloop AT ruilinzhu gluonquasidistributionfunctionatoneloop |