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Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point

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arxiv 1902.00587 v1 pith:3QI5PIX3 submitted 2019-02-01 hep-lat hep-ph

Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point

classification hep-lat hep-ph
keywords systematiccomputationdistributionfunctionsgivelatticemassparton
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present a detailed study of the helicity-dependent and helicity-independent collinear parton distribution functions (PDFs) of the nucleon, using the quasi-PDF approach. The lattice QCD computation is performed employing twisted mass fermions with a physical value of the light quark mass. We give a systematic and in-depth account of the salient features entering in the evaluation of quasi-PDFs and their relation to the light-cone PDFs. In particular, we give details for the computation of the matrix elements, including the study of the various sources of systematic uncertainties, such as excited states contamination. In addition, we discuss the non-perturbative renormalization scheme used here and its systematics, effects of truncating the Fourier transform and different matching prescriptions.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quasi Parton Distribution Functions in Covariant Quark Models

    hep-ph 2026-05 unverdicted novelty 7.0

    In gauge-free quark models, quasi-PDFs converge to PDFs with proven sum rules, and the Covariant Parton Model supplies closed-form small-x results that match a Wandzura-Wilczek approximation for the quark energy-momen...

  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. 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.

  4. Parton distribution functions of $\Delta^+$ on the lattice

    hep-lat 2019-07 unverdicted novelty 5.0

    Renormalized matrix elements for the unpolarized quasi-PDF of the Δ⁺ are computed on two N_f=2+1+1 twisted mass lattice ensembles with pion masses 250 and 330 MeV using momentum smearing.

  5. 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.