On the power divergence in quasi gluon distribution function

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.

18 pages, 10 figures. Published version in JHEP

References in corpus (20)

• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• The Structure of the Proton in the LHC Precision Era
• A Lattice Calculation of Parton Distributions
• A complete non-perturbative renormalization prescription for quasi-PDFs
• On the Renormalizability of Quasi Parton Distribution Functions
• Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
• Nonperturbative Evolution of Parton Quasi-Distributions
• Improved quasi parton distribution through Wilson line renormalization
• Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme
• Soft Factor Subtraction and Transverse Momentum Dependent Parton Distributions on Lattice
• More On Large-Momentum Effective Theory Approach to Parton Physics
• Note on lattice regularization and equal-time correlators for parton distribution functions
• CTEQ-TEA parton distribution functions and HERA Run I and II combined data
• Nonperturbative partonic quasidistributions of the pion from chiral quark models
• Locally smeared operator product expansions in scalar field theory
• Quasi-parton distribution functions: a study in the diquark spectator model
• QCD Factorization and PDFs from Lattice QCD Calculation
• Smeared quasidistributions in perturbation theory
• Parton distribution functions on the lattice and in the continuum
• Reconstructing parton densities at large fractional momenta

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• Transverse Momentum Dependent Quasi-Parton-Distributions
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• Master Integrals for two-loop QCD corrections to Quasi PDFs
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• Mapping Parton Distributions of Hadrons with Lattice QCD
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