{
  "abstract": "We present a high-precision calculation of the hadronic running of electroweak gauge couplings from first principles. Employing lattice QCD in the low-energy regime, we achieve permille precision for virtualities $Q^2 \\lesssim 12\\;\\mathrm{GeV}^2$. At $Q^2 \\simeq 1\\;\\mathrm{GeV}^2$, our determination deviates by up to $7σ$ from estimates based on $e^+e^-$ measurements. Combining lattice QCD with perturbative QCD via the Euclidean split technique, we obtain for the electromagnetic coupling $Δα^{(5)}_{\\mathrm{had}}(M_Z^2) = 0.027821(34)_{\\mathrm{lat}}(35)_{\\mathrm{pQCD}}$, which is more than twice as precise as recent phenomenological determinations. We assess improvement scenarios by which the precision target for next-generation electroweak measurements could be reached.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.03370",
  "author_total": 9,
  "authors": [
    {
      "name": "Alessandro Conigli"
    },
    {
      "name": "Dalibor Djukanovic"
    },
    {
      "name": "Georg von Hippel"
    },
    {
      "name": "Simon Kuberski"
    },
    {
      "name": "Harvey B. Meyer"
    },
    {
      "name": "Kohtaroh Miura"
    },
    {
      "name": "Konstantin Ottnad"
    },
    {
      "name": "Andreas Risch"
    },
    {
      "name": "Hartmut Wittig"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4apdvceqp6ecy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.03370",
  "fulltext_url": null,
  "id": "4apdvceqp6ecy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.03370",
  "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-lat"
    ],
    [
      "arxiv",
      "hep-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2607.03370",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4apdvceqp6ecy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:16Z",
      "native_id": "2607.03370",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.03370"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Running of the Electroweak Gauge Couplings from First Principles",
  "title_text": "Running of the Electroweak Gauge Couplings from First Principles",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:16Z",
  "url": "https://research.draconitic.com/paper/4apdvceqp6ecy",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/r2cx-tl7s",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}