{
  "abstract": "The perturbative QCD corrections to the hadronic decay width of the $W$ boson are currently known up to next-to-next-to-next-to-next-to-leading order ($\\mathrm{N^4LO}$), whereas the exact $\\mathrm{N^5LO}$ correction remains unavailable owing to its formidable computational complexity. In this work, we estimate the $\\mathrm{N^5LO}$ contributions by adopting Bayesian analysis (BA). Before performing the estimation, the Principle of Maximum Conformality (PMC) is employed to improve the precision of the initial scale-dependent perturbative series. Through recursive application of the renormalization group equation, non-conformal terms are absorbed into the strong running coupling, yielding a scheme-independent, scale-invariant perturbative series with improved convergence. The PMC procedure determines an effective coupling $α_s(Q_*)$, with the PMC scale fixed as $Q_* = 100.102~\\mathrm{GeV}$ at next-to-next-to-leading logarithmic accuracy. Based on the improved and more precise series, the $95.5\\%$ BA credible interval yields an uncertainty of $Δδ_\\mathrm{QCD}|_{\\mathrm{PMC, BA}}^{\\mathrm{N^5LO}} = \\pm 1.0\\times 10^{-5}$. The resulting hadronic branching ratio is $\\mathcal{B}(W\\to \\text{hadrons})|_\\mathrm{PMC} = (65.84\\pm 1.54)\\%$, which is consistent with experimental data within reasonable errors.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29666",
  "author_total": 4,
  "authors": [
    {
      "name": "Shu-Heng Yang"
    },
    {
      "name": "Jiang Yan"
    },
    {
      "name": "Xing-Gang Wu"
    },
    {
      "name": "Zhi-Fei Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3h74yvcvqjv8v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29666",
  "fulltext_url": null,
  "id": "3h74yvcvqjv8v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29666",
  "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"
    ],
    [
      "openalex",
      "3106|Particle physics theoretical and experimental studies"
    ]
  ],
  "openalex": "W7204884733",
  "pdf_url": "https://arxiv.org/pdf/2608.29666",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3h74yvcvqjv8v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.29666",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29666"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Probability-based Estimates of the Uncalculated N$^5$LO QCD Contribution to the Hadronic $W$-Boson Decay Width",
  "title_text": "Probability-based Estimates of the Uncalculated N^5LO QCD Contribution to the Hadronic W-Boson Decay Width",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/3h74yvcvqjv8v",
  "venue": "arXiv",
  "versions": []
}