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Isovector parton distribution functions of the proton on a superfine lattice

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arxiv 2005.12015 v2 pith:GSMTOWOT submitted 2020-05-25 hep-lat hep-phnucl-exnucl-th

Zhouyou Fan , Xiang Gao , Ruizi Li , Huey-Wen Lin , Nikhil Karthik , Swagato Mukherjee , Peter Petreczky , Sergey Syritsyn
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Yi-Bo Yang Rui Zhang
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classification hep-lathep-phnucl-exnucl-th
keywords isovectorprotondependencedistributionelementsfunctionshelicitylattice
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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.

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Cited by 5 Pith papers

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