Isovector parton distribution functions of the proton on a superfine lattice

Abstract

We study isovector unpolarized and helicity parton distribution functions (PDF) of the proton within the framework of Large Momentum Effective Theory. We use a gauge ensemble, generated by the MILC Collaboration, with a superfine lattice spacing of $0.042$ fm and a pion mass of $310$ MeV, enabling us to simultaneously reach sub-fermi spatial separations and larger nucleon momenta. We compare the spatial dependence of quasi-PDF matrix elements in different renormalization schemes with the corresponding results of the global fits, obtained using 1-loop perturbative matching. We present determinations of the first four moments of the unpolarized and helicity PDFs of proton from the Ioffe-time dependence of the isovector matrix elements, obtained by employing a ratio-based renormalization scheme.

arXiv comment28 pages, 34 figures. Accepted version for PRD

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Cited by in corpus (46)

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• A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory
• Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
• The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD
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• Self-Renormalization of Quasi-Light-Front Correlators on the Lattice
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• Lattice QCD Determination of the Bjorken-$x$ Dependence of Parton Distribution Functions at Next-to-next-to-leading Order
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• One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
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