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Parton distributions from lattice QCD

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arxiv hep-lat/0108002 v2 pith:4MT2KMMX submitted 2001-08-02 hep-lat hep-phnucl-th

W. Detmold , W. Melnitchouk , A.W. Thomas This is my paper · ORCID
classification hep-lathep-phnucl-th
keywords dependencelatticequarkbehaviorcalculatedchiralcorrectdiscuss
verification ladder T0 review T1 audit T2 compute T3 formal

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We extract the x dependence of the nonsinglet u-d distribution function in the nucleon from the lowest few moments calculated on the lattice, using an extrapolation formula which ensures the correct behavior in the chiral and heavy quark limits. We discuss the implications for the quark mass dependence of meson masses lying on the J(PC)=1(--) Regge trajectory.

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Cited by 3 Pith papers

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

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

    hep-lat 2026-06 unverdicted novelty 6.0 of 10

    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. Parton Distribution Functions from Ioffe time pseudo-distributions

    hep-lat 2019-08 conditional novelty 6.0 of 10

    A dynamical lattice QCD calculation using Ioffe-time pseudo-distributions produces an isovector nucleon valence PDF and first two moments at M_pi ~ 400 MeV, with estimates of lattice-spacing and finite-volume systematics.

  3. Ill-Posedness in Limited Discrete Fourier Inversion and Regularization for Quasi Distributions in LaMET

    hep-lat 2025-06 conditional novelty 5.0 of 10

    Tikhonov regularization with L-curve parameter choice stabilizes the ill-conditioned limited inverse Fourier transform in LaMET and recovers pion quasi distribution amplitudes consistent with physics-driven lambda-ext...

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