Accessing Gluon Parton Distributions in Large Momentum Effective Theory

Zhang, Jian-Hui (Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany) ; Ji, Xiangdong (Tsung-Dao Lee Institute, and School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China) (Maryland Center for Fundamental Physics, Department of Physics, University of Maryland, College Park, Maryland 20742, USA) ; Schäfer, Andreas (Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany) ; Wang, Wei (SKLPPC, MOE KLPPC, School of Physics and Astronomy, Shanghai Jiao Tong University, 800 Dongchuan RD, Shanghai, 200240, China) ; Zhao, Shuai (SKLPPC, MOE KLPPC, School of Physics and Astronomy, Shanghai Jiao Tong University, 800 Dongchuan RD, Shanghai, 200240, China)

10 April 2019

Abstract: Gluon parton distribution functions (PDFs) in the proton can be calculated directly on Euclidean lattices using large momentum effective theory (LaMET). To realize this goal, one has to find renormalized gluon quasi-PDFs in which power divergences and operator mixing are thoroughly understood. For the unpolarized distribution, we identify four independent quasi-PDF correlators that can be multiplicatively renormalized on the lattice. Similarly, the helicity distribution can be derived from three independent multiplicatively renormalizable quasi-PDFs. We provide a LaMET factorization formula for these renormalized quasi-PDFs from which one can extract the gluon PDFs.


Published in: Physical Review Letters 122 (2019)
Published by: APS
DOI: 10.1103/PhysRevLett.122.142001
arXiv: 1808.10824
License: CC-BY-4.0



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