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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

Isovector parton distribution functions of the proton on a superfine lattice

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-lat hep-phnucl-exnucl-th
keywords isovectorprotondependencedistributionelementsfunctionshelicitylattice
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 3 Pith papers

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  1. Third moments of nucleon unpolarized, polarized, and transversity parton distribution functions from physical-point lattice QCD

    hep-lat 2026-05 unverdicted novelty 7.0

    First lattice QCD calculation at the physical pion mass of the isovector third moments of nucleon unpolarized, polarized, and transversity PDFs via forward matrix elements of local operators.

  2. Mellin Moments of Pion and Kaon Unpolarized PDFs from Nonlocal Operators in Lattice QCD

    hep-lat 2026-06 unverdicted novelty 6.0

    First lattice QCD results for Mellin moments of pion and kaon unpolarized PDFs from nonlocal operator matrix elements on a 32^3×64 twisted-mass ensemble at m_π=260 MeV, extracted at NNLO and μ=2 GeV.

  3. Proton's isovector PDF with updated analysis of large-momentum lattice data

    hep-lat 2026-06 unverdicted novelty 4.0

    Reanalysis of lattice data produces proton u(x)-d(x) PDF consistent with global fits within 1 sigma, supporting large-momentum expansion for PDF predictions.