{
  "abstract": "Heavy-quark production in deep-inelastic scattering probes the gluon distribution, and the precision of current and future data requires predictions beyond next-to-leading order. We calculate the even Mellin moments $N = 2$ to $22$ of the next-to-leading-order heavy-quark coefficient functions for $F_2$ and $F_L$, retaining the full heavy-quark mass dependence. This includes the gluon channel, for which no analytic result is available. They provide a test of the parametrisations used in phenomenology: at a representative kinematic point these are accurate to better than one per cent in the gluon channel, whereas in the quark channels we find deviations of up to $20\\%$ over a wide range of Mellin moments, signalling significant differences in the corresponding $x$-space distributions. As a new result at next-to-next-to-leading order, the lowest moment $N = 2$ has been determined exactly.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23452",
  "author_total": 3,
  "authors": [
    {
      "name": "Marco Klann"
    },
    {
      "name": "Sven-Olaf Moch"
    },
    {
      "name": "Kay Schönwald"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/43txtjgvfhd9p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23452",
  "fulltext_url": null,
  "id": "43txtjgvfhd9p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23452",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7214027030",
  "pdf_url": "https://arxiv.org/pdf/2609.23452",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/43txtjgvfhd9p.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.23452",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23452"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Heavy-Quark Production in DIS: Mellin Moments for Phenomenology",
  "title_text": "Heavy-Quark Production in DIS: Mellin Moments for Phenomenology",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/43txtjgvfhd9p",
  "venue": "arXiv",
  "versions": []
}