{
  "abstract": "We present the beta functions of the gauge couplings and the anomalous dimensions of the gauge fields in the unbroken phase of the Standard Model at four loops.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Nucl.Phys.B 1030 (2026) 117631",
  "arxiv": "2607.21586",
  "author_total": 3,
  "authors": [
    {
      "name": "M. A. Bezuglov"
    },
    {
      "name": "B. A. Kniehl"
    },
    {
      "name": "V. N. Velizhanin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/45dwfjtwbv6c2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.21586",
  "fulltext_url": null,
  "id": "45dwfjtwbv6c2",
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  "landing_url": "https://arxiv.org/abs/2607.21586",
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  "licence_label": "arXiv licence",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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      "hep-ph"
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  "pdf_url": "https://arxiv.org/pdf/2607.21586",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/45dwfjtwbv6c2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:01Z",
      "native_id": "2607.21586",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.21586"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Gauge coupling beta functions and gauge field anomalous dimensions at four loops in the Standard Model",
  "title_text": "Gauge coupling beta functions and gauge field anomalous dimensions at four loops in the Standard Model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:01Z",
  "url": "https://research.draconitic.com/paper/45dwfjtwbv6c2",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1016/j.nuclphysb.2026.117631",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}