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Valence parton distribution of pion from lattice QCD: Approaching continuum

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arxiv 2007.06590 v3 pith:4RH6E5RS submitted 2020-07-13 hep-lat hep-exhep-phnucl-exnucl-th

Valence parton distribution of pion from lattice QCD: Approaching continuum

Xiang Gao , Luchang Jin , Christos Kallidonis , Nikhil Karthik , Swagato Mukherjee , Peter Petreczky , Charles Shugert , Sergey Syritsyn
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Yong Zhao
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classification hep-lat hep-exhep-phnucl-exnucl-th
keywords latticepionvalenceanalysesboosteddistributionelementsinfer
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present a high-statistics lattice QCD determination of the valence parton distribution function (PDF) of the pion, with a mass of 300 MeV, using two very fine lattice spacings of $a=0.06$ fm and 0.04 fm. We reconstruct the $x$-dependent PDF, as well as infer the first few even moments of the PDF using leading-twist 1-loop perturbative matching framework. Our analyses use both RI-MOM and ratio-based schemes to renormalize the equal-time bi-local quark-bilinear matrix elements of pions boosted up to 2.4 GeV momenta. We use various model-independent and model-dependent analyses to infer the large-$x$ behavior of the valence PDF. We also present technical studies on lattice spacing and higher-twist corrections present in the boosted pion matrix elements.

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Cited by 4 Pith papers

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  1. 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.

  2. Pion and Kaon PDFs from Lattice QCD via Large Momentum Effective Theory and Short-Distance Factorization

    hep-lat 2025-12 conditional novelty 5.0

    Lattice QCD calculation of pion and kaon unpolarized quark PDFs on a 32^3×64 ensemble with 260 MeV pion mass, using LaMET and SDF matching at boosts up to 2.07 GeV.

  3. Charmonium properties at high temperatures from lattice QCD

    hep-lat 2026-05 unverdicted novelty 4.0

    Lattice QCD calculations indicate charmonium states persist below the open-charm threshold up to 305 MeV but develop temperature-dependent thermal widths that increase with state size.

  4. Hadron Structure from lattice QCD in the context of the Electron-Ion Collider

    hep-lat 2026-03 unverdicted novelty 2.0

    Lattice QCD now delivers high-precision results on hadron internal structure that directly support the scientific program of the Electron-Ion Collider.