{
  "abstract": "One of the challenging components of modern lattice-QCD computations of the leading hadronic vacuum polarization contribution to the muon $(g-2)_μ$ is the isospin-breaking correction due to electromagnetism. Dominated by long distances, this correction suffers from severe signal-to-noise issues and finite-volume effects. To provide infinite-volume benchmarks for various quark-level Wick contractions, we estimate their sizes phenomenologically at the physical point, using a previously developed vector-meson-dominance model. The pion contributions in this model sum to around $-7.1\\times 10^{-10}$, dominated by the electromagnetic pion mass shift. The ultraviolet-finite (2+2)a (\"dumbbell\") contraction accounts for approximately two thirds of this model sum; for both, about 30% comes from Euclidean times beyond 2.8 fm.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.11861",
  "author_total": 1,
  "authors": [
    {
      "name": "Volodymyr Biloshytskyi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2mvqsz1z4sqfy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.11861",
  "fulltext_url": null,
  "id": "2mvqsz1z4sqfy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.11861",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-lat"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7221191844",
  "pdf_url": "https://arxiv.org/pdf/2610.11861",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2mvqsz1z4sqfy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:54Z",
      "native_id": "2610.11861",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.11861"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Electromagnetic isospin breaking in hadronic vacuum polarization within a VMD model",
  "title_text": "Electromagnetic isospin breaking in hadronic vacuum polarization within a VMD model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:54Z",
  "url": "https://research.draconitic.com/paper/2mvqsz1z4sqfy",
  "venue": "arXiv",
  "versions": []
}