{
  "abstract": "Parton distribution functions (PDFs) are non-perturbative inputs whose scale dependence is governed by the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) equations. Their numerical evaluation commonly relies on interpolation of tabulated grids. We discuss an analytic representation of collinear proton PDFs in $(x,Q^2)$, obtained by promoting the parameters of a standard $x$-space parametrisation to functions of the scale. The coefficients are reconstructed from the HERAPDF2.0 NLO set using machine-assisted fitting techniques, with sampling in $10^{-4}\\le x\\le 0.65$ and scales up to 1 TeV. The resulting ML-PDFs reproduce integrated distributions at the sub-percent level for most flavours, with deviations reaching about 1.5% for the strange quark at the highest scales. They satisfy valence and momentum sum rules at the percent level and reproduce representative $pp\\toπ$ and $pp\\toγπ$ cross sections within approximately 2% and 5%, respectively, in the kinematic regions studied. Compared with grid interpolation through LHAPDF, direct evaluation of the analytic expressions reduces the total Monte Carlo run time by about 11% and 30% in these two applications.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.08272",
  "author_total": 1,
  "authors": [
    {
      "name": "David F. Rentería-Estrada"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7tb5fvqyen9ve.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.08272",
  "fulltext_url": null,
  "id": "7tb5fvqyen9ve",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.08272",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.08272",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7tb5fvqyen9ve.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:30Z",
      "native_id": "2611.08272",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.08272"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Analytic parametrisations of the scale dependence of proton parton distributions",
  "title_text": "Analytic parametrisations of the scale dependence of proton parton distributions",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:41Z",
  "url": "https://research.draconitic.com/paper/7tb5fvqyen9ve",
  "venue": "arXiv",
  "versions": []
}