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Pion distribution functions from low-order Mellin moments

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arxiv 2311.08565 v1 pith:VNHBOJSK submitted 2023-11-14 hep-ph hep-exhep-latnucl-exnucl-th

Ya Lu , Yin-Zhen Xu , Khépani Raya , Craig D. Roberts , José Rodríguez-Quintero This is my paper
classification hep-phhep-exhep-latnucl-exnucl-th
keywords pionbetamomentsapproxfunctionsvalencebehaviourconsistent
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Exploiting an evolution scheme for parton distribution functions (DFs) that is all-orders exact, contemporary lattice-QCD (lQCD) results for low-order Mellin moments of the pion valence quark DF are shown to be mutually consistent. The analysis introduces a means by which key odd moments can be obtained from the even moments in circumstances where only the latter are available. Combining these elements, one arrives at parameter-free lQCD-based predictions for the pointwise behaviour of pion valence, glue, and sea DFs, with sound uncertainty estimates. The behaviour of the pion DFs at large light-front momentum fraction, $x> 0.85$, is found to be consistent with QCD expectations and continuum analyses of pion structure functions, i.e., damping like $(1 -x)^{\beta_{\rm parton}}$, with $\beta_{\rm valence} \approx 2.4$, $\beta_{\rm glue} \approx 3.6$, $\beta_{\rm sea} \approx 4.6$. It may be possible to test these predictions using data from forthcoming experiments.

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Cited by 4 Pith papers

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

  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. Pion parton distribution functions and pion-nucleus induced $J/\psi$ production in extended light-front holographic QCD

    hep-ph 2026-05 unverdicted novelty 5.0 of 10

    Pion PDFs from holographic light-front QCD are consistent with global analyses and produce J/ψ cross sections matching experimental data across energies and targets.

  3. Valence quark distribution of the pion inside a medium with finite baryon density: A Nambu--Jona-Lasinio model approach

    hep-ph 2025-12 unverdicted novelty 5.0 of 10

    The authors use the two-flavor NJL model to obtain medium-modified constituent quark masses and then compute the in-medium pion electromagnetic form factor, distribution amplitude, and parton distribution function via...

  4. Pion parton distribution functions and pion-nucleus induced $J/\psi$ production in extended light-front holographic QCD

    hep-ph 2026-05 unverdicted novelty 4.0 of 10

    Pion PDFs derived from holographic light-front wave functions yield NLO J/ψ production cross sections in pion-nucleus collisions that agree with data.

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