{
  "abstract": "We present the complete set of massless three-loop four-point master integrals with one off-shell external leg. These are essential building blocks for the three-loop virtual corrections to Higgs-boson or vector-boson production in association with a jet at the Large Hadron Collider, required for next-to-next-to-next-to-leading-order QCD predictions. We construct a complete basis of canonical integrals by identifying integrands with simple poles and unit leading singularities, solely by integrand analysis. This includes an integral family with 371 master integrals and a 19-dimensional top sector. The solutions for all relevant integrals are provided as a map to a minimal set of iterated integrals graded according to their analytic properties, together with high-precision series expansions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20820",
  "author_total": 6,
  "authors": [
    {
      "name": "Thomas Gehrmann"
    },
    {
      "name": "Petr Jakubčík"
    },
    {
      "name": "Jungwon Lim"
    },
    {
      "name": "Andreas von Manteuffel"
    },
    {
      "name": "Cesare Carlo Mella"
    },
    {
      "name": "Lorenzo Tancredi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3krxqhgptdgyt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20820",
  "fulltext_url": null,
  "id": "3krxqhgptdgyt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20820",
  "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"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Particle physics theoretical and experimental studies"
    ]
  ],
  "openalex": "W7222544356",
  "pdf_url": "https://arxiv.org/pdf/2610.20820",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3krxqhgptdgyt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.20820",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20820"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "All three-loop four-point massless integrals with one off-shell leg",
  "title_text": "All three-loop four-point massless integrals with one off-shell leg",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/3krxqhgptdgyt",
  "venue": "arXiv",
  "versions": []
}