Complementarity of experimental and lattice QCD data on pion parton distributions

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 $\sim (1-x{)}^{{\beta }_{\mathrm{eff}}}$ with ${\beta }_{\mathrm{eff}}\approx 1.0-1.2$.

47 pages, 15 figures

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Cited by in corpus (13)

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• Tomography of pions and protons via transverse momentum dependent distributions
• Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
• The pion in the graviton soft-wall model: phenomenological applications
• Fixed-target charmonium production and pion parton distributions
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Pseudoscalar Meson Parton Distributions Within Gauge-Invariant Nonlocal Chiral Quark Model
• Valence Quark PDFs of the Proton from Two-Current Correlations in Lattice QCD
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• An analysis of parton distributions in a pion with Bézier parametrizations