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Emergence of pion parton distributions

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arxiv 2201.00884 v2 pith:3SIBZHSD submitted 2022-01-03 hep-ph hep-exhep-latnucl-exnucl-th

classification hep-phhep-exhep-latnucl-exnucl-th
keywords pionboundsconsistentderivedpartonpredictionsvalence-quarkall-orders
verification ladder T0 review T1 audit T2 compute T3 formal

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Supposing only that there is an effective charge which defines an evolution scheme for parton distribution functions (DFs) that is all-orders exact, strict lower and upper bounds on all Mellin moments of the valence-quark DFs of pion-like systems are derived. Exploiting contemporary results from numerical simulations of lattice-regularised quantum chromodynamics (QCD) that are consistent with these bounds, parameter-free predictions for pion valence, glue, and sea DFs are obtained. The form of the valence-quark DF at large values of the light-front momentum fraction is consistent with predictions derived using the QCD-prescribed behaviour of the pion wave function.

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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. 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.

  2. Generalized parton distributions of the kaon and pion within the nonlocal chiral quark model

    hep-ph 2024-11 conditional novelty 6.0 of 10

    The paper extends the nonlocal chiral quark model to strange quarks and computes kaon and pion generalized parton distributions, their QCD evolution, and strange-to-light gravitational form factor ratios.

  3. Mapping spatial distributions within pseudoscalar mesons

    hep-ph 2024-12 conditional novelty 5.0 of 10

    A new analytic parametrization of meson valence-quark GPDs yields spatial charge and mass distributions and radius ratios for pions, kaons and heavy-light mesons.

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