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Reconstructing parton distribution function based on maximum entropy method

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arxiv 2309.01417 v3 pith:3BQCEDAX submitted 2023-09-04 hep-ph

Sihan Zhang , Xiaobin Wang , Tao Lin , Lei Chang This is my paper · ORCID
classification hep-ph
keywords methodmomentsreconstructiondistributionentropyfunctioninputintroduce
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A new method based on the maximum entropy principle for reconstructing the parton distribution function (PDF) from moments is proposed. Unlike traditional methods, the new method no longer needs to introduce any artificial assumptions. For the case of moments with errors, we introduce Gaussian functions to soften the constraints of moments. Through a series of tests, the effectiveness and reconstruction efficiency of this new method are evaluated comprehensively. And these tests indicate that this method is reasonable and can achieve high-quality reconstruction with at least the first six moments as input. Finally, we select a set of lattice QCD results regarding moments as input and provide reasonable reconstruction results for the pion.

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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. Understanding Anomalous Magnetothermal Transport via Disentangling Shear and Compression Phonons

    cond-mat.str-el 2026-03 unverdicted novelty 7.0 of 10

    Mode-selective spin-phonon coupling of shear versus compression phonons produces a peak-dip-peak magnetothermal heat current in spin-orbit-coupled Mott insulators.

  2. Imaging the charge distributions of flavor-symmetric and -asymmetric mesons

    hep-ph 2025-06 conditional novelty 5.0 of 10

    Using a maximum-entropy inversion of DSE/BSE form factors, the authors map meson charge profiles and find quark-antiquark distances that shrink with quark mass and grow by 5-15% for spin-aligned mesons.

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