{
  "abstract": "A QCD sum-rule study is performed to place bounds on the leading-order (LO) hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the $τ$ lepton ($a_τ^\\mathrm{HVP,\\,LO},\\, a_τ= (g-2)_τ/2$). The QCD contributions to $a_τ^\\mathrm{HVP,\\,LO}$ are modeled as a combination of Laplace QCD sum rules (LSRs) and finite-energy QCD sum rules (FESRs) of various weights, which are bounded by Hölder and related fundamental inequalities. The light-quark ($u,\\,d,\\,s$) contributions are evaluated up to five-loop order in perturbative contributions in the chiral limit, LO in light quark mass corrections, next-to-leading order (NLO) in dimension-four QCD condensates and to LO in dimension-six QCD condensates. Extending previous work on $a_μ^\\mathrm{HVP,\\,LO}$, we present a robust methodology for using QCD sum rules to constrain $a_τ^\\mathrm{HVP,\\,LO}$, and more generally any lepton $g-2$. A criterion is developed to extract from the bounds analysis a final result of $a_τ^\\mathrm{QCD} = \\left( 3.385\\pm 0.048 \\right) \\times 10^{-6}$, which after inclusion of charmonium and bottomonium contributions gives a final result $a_τ^\\mathrm{HVP,\\,LO} = \\left( 3.501\\pm0.048\\right) \\times 10^{-6}$, comparable to data-driven and lattice predictions. Lattice QCD results along with our value for $a_τ^\\mathrm{HVP,\\,LO}$ are used to obtain a combined QCD determination from lattice and sum-rule methods of $a_μ^\\mathrm{HVP,\\,LO} = (7.217\\pm0.233)\\times10^{-8}$. Our analysis provides fundamental QCD sum-rule inputs into the theoretical determinations of $a_τ$, and establishes new methodologies for QCD sum-rule determinations of low-energy observables.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20945",
  "author_total": 6,
  "authors": [
    {
      "name": "Siyuan Li"
    },
    {
      "name": "J. Ho"
    },
    {
      "name": "R. T. Kleiv"
    },
    {
      "name": "D. Leighton"
    },
    {
      "name": "E. J. Obbink"
    },
    {
      "name": "T. G. Steele"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/62yfznw76nkzb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20945",
  "fulltext_url": null,
  "id": "62yfznw76nkzb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20945",
  "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-ph"
    ],
    [
      "openalex",
      "3106|Particle physics theoretical and experimental studies"
    ]
  ],
  "openalex": "W7222565981",
  "pdf_url": "https://arxiv.org/pdf/2610.20945",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/62yfznw76nkzb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.20945",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20945"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Bounds on hadronic contributions to the anomalous magnetic moment of the $τ$ lepton from QCD Sum Rules",
  "title_text": "Bounds on hadronic contributions to the anomalous magnetic moment of the τ lepton from QCD Sum Rules",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/62yfznw76nkzb",
  "venue": "arXiv",
  "versions": []
}