Unpolarized gluon PDF of the nucleon from lattice QCD in the continuum limit
Chen Chen, Hongxin Dong, Liuming Liu, Peng Sun, Xiaonu Xiong, Yi-Bo Yang, Fei Yao, Jian-Hui Zhang, Chunhua Zeng, Shiyi Zhong

TL;DR
This paper presents a high-precision lattice QCD calculation of the unpolarized gluon parton distribution function of the nucleon, achieving continuum limit extrapolation and agreement with global analyses.
Contribution
It introduces a comprehensive lattice QCD approach employing large-momentum effective theory, multiple lattice spacings, and advanced renormalization to determine the gluon PDF.
Findings
Results agree with global analysis within errors
Achieved continuum and infinite momentum limit extrapolation
Used distillation technique for improved correlator signals
Abstract
We report a state-of-the-art lattice QCD calculation of the nucleon gluon parton distribution function employing large-momentum effective theory. The calculation is carried out on the 2+1 flavour CLQCD ensembles with three lattice spacings a={0.105,0.0897,0.0775} fm and pion mass of approximately 300 MeV, covering nulceon momenta up to 1.97 GeV. Distillation technique is applied to improve the signal of two-point correlators. We then apply the state-of-the-art hybrid renormalization and one-loop perturbative matching, and extrapolate the result to the continuum and infinite momentum limit. Our result is in agreement with that from global analysis within errors.
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