On the power divergence in quasi gluon distribution function

Wang, Wei (0000 0004 0368 8293, INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, MOE Key Laboratory for Particle Physics, Astrophysics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, 800 Dongchuan RD, Shanghai, 200240, China) ; Zhao, Shuai  (0000 0004 0368 8293, INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, MOE Key Laboratory for Particle Physics, Astrophysics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, 800 Dongchuan RD, Shanghai, 200240, China)

24 May 2018

Abstract: Recent perturbative calculation of quasi gluon distribution function at one-loop level shows the existence of extra linear ultraviolet divergences in the cut-off scheme. We employ the auxiliary field approach, and study the renormalization of gluon operators. The non-local gluon operator can mix with new operators under renormalization, and the linear divergences in quasi distribution function can be into the newly introduced operators. After including the mixing, we find the improved quasi gluon distribution functions contain only logarithmic divergences, and thus can be used to extract the gluon distribution in large momentum effective theory.


Published in: JHEP 1805 (2018) 142
Published by: Springer/SISSA
DOI: 10.1007/JHEP05(2018)142
arXiv: 1712.09247
License: CC-BY-4.0



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