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Complementarity of experimental and lattice QCD data on pion parton distributions

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arxiv 2204.00543 v2 pith:2GVWR5I3 submitted 2022-04-01 hep-ph hep-exhep-latnucl-th

P. C. Barry , C. Egerer , J. Karpie , W. Melnitchouk , C. Monahan , K. Orginos , Jian-Wei Qiu , D. Richards
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N. Sato R. S. Sufian S. Zafeiropoulos
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classification hep-phhep-exhep-latnucl-th
keywords latticepiondataexperimentalpdfsanalysisbetacorrelators
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We extract pion parton distribution functions (PDFs) in a Monte Carlo global QCD analysis of experimental data together with reduced Ioffe time pseudo-distributions and matrix elements of current-current correlators generated from lattice QCD. By including both experimental and lattice QCD data, our analysis rigorously quantifies both the uncertainties of the pion PDFs and systematic effects intrinsic to the lattice QCD observables. The reduced Ioffe time pseudo-distributions significantly decrease the uncertainties on the PDFs, while the current-current correlators are limited by the systematic effects associated with the lattice. Consistent with recent phenomenological determinations, the behavior of the valence quark distribution of the pion at large momentum fraction is found to be $\sim (1-x)^{ \beta_{\rm eff}}$ with $\beta_{\rm eff} \approx 1.0-1.2$.

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Cited by 6 Pith papers

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

  1. Pionic gluons from global QCD analysis of experimental and lattice data

    hep-ph 2025-07 conditional novelty 7.0 of 10

    A global fit of pion parton distributions including lattice gluon data reduces uncertainties on the high-x gluon PDF and indicates a gluon enhancement in the pion over the proton.

  2. First simultaneous global QCD analysis of kaon and pion parton distributions with lattice QCD constraints

    hep-ph 2025-10 conditional novelty 6.0 of 10

    First simultaneous pion+kaon PDF fit with lattice constraints finds kaon valence anti-up softer than pion's and strange valence more peaked at high x.

  3. Gradient flow for parton distribution functions: first application to the pion

    hep-lat 2025-09 conditional novelty 6.0 of 10

    Pion PDF moment ratios up to <x^5> were extracted from lattice QCD with gradient flow and agree with phenomenological fits.

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

    hep-lat 2025-12 conditional novelty 5.0 of 10

    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.

  5. Semi-inclusive pion electroproduction at the highest transverse momenta

    hep-ph 2025-08 conditional novelty 5.0 of 10

    Direct pion production dominates at high transverse momentum in semi-inclusive electroproduction, and its cross section factorizes to allow extraction of high-x PDFs and the pion distribution amplitude.

  6. Impact of parity-violating deep-inelastic scattering on the weak mixing angle and high-$x$ parton distributions

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    Simulations of 11 and 22 GeV PVDIS pseudodata indicate potential constraints on low-Q² sin²θ_W and high-x strange quark and d/u PDFs, with strong correlations requiring simultaneous QCD-electroweak analysis.

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