Improved quasi parton distribution through Wilson line renormalization

Chen, Jiunn-Wei and Ji, Xiangdong and Zhang, Jian-Hui (2017) Improved quasi parton distribution through Wilson line renormalization. NUCLEAR PHYSICS B, 915. pp. 1-9. ISSN 0550-3213, 1873-1562

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Abstract

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. (C) 2016 The Authors. Published by Elsevier B.V.

Item Type: Article
Uncontrolled Keywords: PHASE-FACTORS; OPERATORS; NUCLEON; LHC; QCD;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 13:01
Last Modified: 15 Feb 2019 11:09
URI: https://pred.uni-regensburg.de/id/eprint/496

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