Gluon quasidistribution function at one loop

Wang, Wei (Aff1, 0000 0004 0368 8293, INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, 200240, Shanghai, China) ; Zhao, Shuai (Aff1, 0000 0004 0368 8293, INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, 200240, Shanghai, China) ; Zhu, Ruilin  (Aff1, 0000 0004 0368 8293, INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, 200240, Shanghai, China) (Aff2, 0000 0001 0089 5711, Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, 210023, Nanjing, Jiangsu, China)

21 February 2018

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 Pz evolution equation for quasi parton distribution functions, and find that the Pz evolution kernels are identical to the DGLAP evolution kernels.


Published in: EPJC 78 (2018) 147
Published by: Springer/Società Italiana di Fisica
DOI: 10.1140/epjc/s10052-018-5617-3
License: CC-BY-3.0



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