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Towards High-Precision Parton Distributions From Lattice QCD via Distillation

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arxiv 2107.05199 v1 pith:NJYX5F3A submitted 2021-07-12 hep-lat

Colin Egerer , Robert G. Edwards , Christos Kallidonis , Kostas Orginos , Anatoly V. Radyushkin , David G. Richards , Eloy Romero , Savvas Zafeiropoulos This is my paper · ORCID
classification hep-lat
keywords distillationpitddglapevolutionimprovedioffe-timelatticespatial
verification ladder T0 review T1 audit T2 compute T3 formal
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We apply the Distillation spatial smearing program to the extraction of the unpolarized isovector valence PDF of the nucleon. The improved volume sampling and control of excited-states afforded by distillation leads to a dramatically improved determination of the requisite Ioffe-time Pseudo-distribution (pITD). The impact of higher-twist effects is subsequently explored by extending the Wilson line length present in our non-local operators to one half the spatial extent of the lattice ensemble considered. The valence PDF is extracted by analyzing both the matched Ioffe-time Distribution (ITD), as well as a direct matching of the pITD to the PDF. Through development of a novel prescription to obtain the PDF from the pITD, we establish a concerning deviation of the pITD from the expected DGLAP evolution of the pseudo-PDF. The presence of DGLAP evolution is observed once more following introduction of a discretization term into the PDF extractions. Observance and correction of this discrepancy further highlights the utility of distillation in such structure studies.

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Cited by 2 Pith papers

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

  1. A simple non-parametric reconstruction of parton distributions from limited Fourier information

    hep-lat 2024-12 conditional novelty 5.0 of 10

    A fixed-hyperparameter Gaussian-process prior recovers parton distributions from limited Ioffe-time data and yields more realistic small-x uncertainties than simple parametric fits.

  2. Parton distribution functions from lattice QCD

    hep-lat 2026-07 unverdicted

    A review of lattice-QCD approaches to parton distribution functions concludes that the field is moving from feasibility studies to quantitatively controlled calculations.

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