{
  "abstract": "In this work we estimate the first unknown QCD correction to the decay of the Higgs boson into gluons, $H\\to gg$, in the heavy-top limit using Padé approximants built to the perturbative series and to its Borel transform. In the process, we also obtain estimates for the first unknown coefficients of the QCD $β$ function, of the QCD decoupling relation, and of the gluonium correlator. We also provide an updated prediction for the first unknown coefficient of $Γ(H\\to b\\bar{b})$. We determine the polynomial dependence of the perturbative coefficients on the number of quark flavors, $n_f$. We point out that the large-$n_f$ result for $H\\to gg$ can be obtained from results for the gluonium correlator already available in the literature. The coefficient of the highest power of $n_f$ is then imposed as a constraint and is also used as a new test to discard unreliable approximants. The method is validated through the postdiction of the last known coefficient of the series. Our model-independent estimate for the yet unknown coefficient of order $α_s^7$ of $Γ(H\\to gg)$ is $-312\\pm 15$ (in the $\\overline{\\mathrm{MS}}$ scheme with $μ=m_H$, where $m_H$ is the Higgs mass). With our estimate the residual renormalization-scale dependence of $Γ(H\\to gg)$ is reduced by a factor of almost 1.5.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09874",
  "author_total": 3,
  "authors": [
    {
      "name": "Diogo Boito"
    },
    {
      "name": "Cristiane Y. London"
    },
    {
      "name": "Guilherme A. Nogueira"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/deqjvtbk8tjj9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09874",
  "fulltext_url": null,
  "id": "deqjvtbk8tjj9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09874",
  "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": "W7220910930",
  "pdf_url": "https://arxiv.org/pdf/2610.09874",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/deqjvtbk8tjj9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:37Z",
      "native_id": "2610.09874",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09874"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Estimate of $Γ(H \\to gg)$ at $O(α_s^7)$ from Padé approximants with constraints from large-$n_f$",
  "title_text": "Estimate of Γ(H → gg) at O(α_s^7) from Padé approximants with constraints from large-n_f",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:37Z",
  "url": "https://research.draconitic.com/paper/deqjvtbk8tjj9",
  "venue": "arXiv",
  "versions": []
}