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Gluon Parton Distribution of the Pion from Lattice QCD

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arxiv 2104.06372 v1 pith:HI3FRGFC submitted 2021-04-13 hep-lat hep-phnucl-th

classification hep-lathep-phnucl-th
keywords pionlatticedistributiongluonapproxdeterminationmassmomentum
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present the first determination of the $x$-dependent pion gluon distribution from lattice QCD using the pseudo-PDF approach. We use lattice ensembles with 2+1+1 flavors of highly improved staggered quarks (HISQ), generated by MILC Collaboration, at two lattice spacings $a\approx 0.12$ and 0.15~fm and three pion masses $M_\pi\approx 220$, 310 and 690 MeV. We use clover fermions for the valence action and momentum smearing to achieve pion boost momentum up to 2.29 GeV. We find that the dependence of the pion gluon parton distribution on lattice spacing and pion mass is mild. We compare our results from the lightest pion mass ensemble with the determination by JAM and xFitter global fits.

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Cited by 5 Pith papers

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

  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. Unpolarized gluon PDF of the nucleon from lattice QCD at physical point in the continuum limit

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    A lattice QCD extraction of the nucleon gluon PDF using three lattice spacings, hybrid renormalization and NLO matching, extrapolated to the continuum and infinite-momentum limits, agrees with global fits while remain...

  3. Decoding the proton's gluonic density with lattice QCD-informed machine learning

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A variational autoencoder inverse mapper extracts the proton's gluon PDF from lattice QCD pseudo-Ioffe-time distributions, yielding results consistent with global fits.

  4. Effects of flavor-mixings on charged kaon and pion parton distribution functions

    hep-ph 2026-07 conditional novelty 4.0 of 10

    Vacuum-polarization flavor mixing in the U(3) NJL model produces small, mass-difference-driven shifts in charged pion and kaon valence PDFs that mildly improve agreement with data at 4 and 27 GeV².

  5. Mapping Parton Distributions of Hadrons with Lattice QCD

    hep-lat 2025-06 accept

    A review of lattice QCD methods and results for x-dependent parton distribution functions and generalized parton distributions of hadrons.

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