Improved quasi parton distribution through Wilson line renormalization
Recent developments showed that hadron light-cone parton distributions could be directly extracted from spacelike correlators, known as quasi parton distributions, in the large hadron momentum limit. Unlike the normal light-cone parton distribution, a quasi parton distribution contains ultraviolet (...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-02-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S055032131630390X |
| _version_ | 1828185227197939712 |
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| author | Jiunn-Wei Chen Xiangdong Ji Jian-Hui Zhang |
| author_facet | Jiunn-Wei Chen Xiangdong Ji Jian-Hui Zhang |
| author_sort | Jiunn-Wei Chen |
| collection | DOAJ |
| description | Recent developments showed that hadron light-cone parton distributions could be directly extracted from spacelike correlators, known as quasi parton distributions, in the large hadron momentum limit. Unlike the normal light-cone parton distribution, a quasi parton distribution contains ultraviolet (UV) power divergence associated with the Wilson line self energy. We show that to all orders in the coupling expansion, the power divergence can be removed by a “mass” counterterm in the auxiliary z-field formalism, in the same way as the renormalization of power divergence for an open Wilson line. After adding this counterterm, the quasi quark distribution is improved such that it contains at most logarithmic divergences. Based on a simple version of discretized gauge action, we present the one-loop matching kernel between the improved non-singlet quasi quark distribution with a lattice regulator and the corresponding quark distribution in dimensional regularization. |
| first_indexed | 2024-04-12T07:01:36Z |
| format | Article |
| id | doaj.art-2860dd9340314ced984d089201e800ca |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-04-12T07:01:36Z |
| publishDate | 2017-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-2860dd9340314ced984d089201e800ca2022-12-22T03:43:00ZengElsevierNuclear Physics B0550-32131873-15622017-02-01915C1910.1016/j.nuclphysb.2016.12.004Improved quasi parton distribution through Wilson line renormalizationJiunn-Wei Chen0Xiangdong Ji1Jian-Hui Zhang2Department of Physics, Center for Theoretical Sciences, and Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei, 106, TaiwanINPAC, Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, PR ChinaInstitut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, GermanyRecent developments showed that hadron light-cone parton distributions could be directly extracted from spacelike correlators, known as quasi parton distributions, in the large hadron momentum limit. Unlike the normal light-cone parton distribution, a quasi parton distribution contains ultraviolet (UV) power divergence associated with the Wilson line self energy. We show that to all orders in the coupling expansion, the power divergence can be removed by a “mass” counterterm in the auxiliary z-field formalism, in the same way as the renormalization of power divergence for an open Wilson line. After adding this counterterm, the quasi quark distribution is improved such that it contains at most logarithmic divergences. Based on a simple version of discretized gauge action, we present the one-loop matching kernel between the improved non-singlet quasi quark distribution with a lattice regulator and the corresponding quark distribution in dimensional regularization.http://www.sciencedirect.com/science/article/pii/S055032131630390X |
| spellingShingle | Jiunn-Wei Chen Xiangdong Ji Jian-Hui Zhang Improved quasi parton distribution through Wilson line renormalization Nuclear Physics B |
| title | Improved quasi parton distribution through Wilson line renormalization |
| title_full | Improved quasi parton distribution through Wilson line renormalization |
| title_fullStr | Improved quasi parton distribution through Wilson line renormalization |
| title_full_unstemmed | Improved quasi parton distribution through Wilson line renormalization |
| title_short | Improved quasi parton distribution through Wilson line renormalization |
| title_sort | improved quasi parton distribution through wilson line renormalization |
| url | http://www.sciencedirect.com/science/article/pii/S055032131630390X |
| work_keys_str_mv | AT jiunnweichen improvedquasipartondistributionthroughwilsonlinerenormalization AT xiangdongji improvedquasipartondistributionthroughwilsonlinerenormalization AT jianhuizhang improvedquasipartondistributionthroughwilsonlinerenormalization |