{
  "abstract": "We construct a complete and nonredundant basis of lepton-number-violating (LNV) operators in the Higgs effective field theory (HEFT) through $\\mathcal{O}(p^4)$, including their full flavor multiplicities. Using a complex dressed spurion that encodes the $B-L$ charge, we classify the $ΔL=2$ and $ΔL=4$ sectors, including baryon-number-violating operators, and independently validate the counting using Hilbert-series methods. As a concrete application, we present the first complete tree-level matching of the type-II seesaw model onto HEFT through $\\mathcal{O}(p^4)$, covering the bosonic, lepton-number-conserving, and LNV sectors. Using the nonlinear field representation and primary-HEFT power counting, we retain the full dependence of the matching coefficients on the independent scalar masses, the neutral-scalar mixing, and the doublet and triplet vacuum expectation values. We compare our results with the corresponding real-triplet matching and a broken-phase effective field theory. We further discuss implications for LNV processes, Higgs physics, and electroweak observables.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.26184",
  "author_total": 3,
  "authors": [
    {
      "name": "Zizhou Ge"
    },
    {
      "name": "Huayang Song"
    },
    {
      "name": "Xia Wan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1b49hyyfpzc9j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.26184",
  "fulltext_url": null,
  "id": "1b49hyyfpzc9j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.26184",
  "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": "W7171774899",
  "pdf_url": "https://arxiv.org/pdf/2607.26184",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1b49hyyfpzc9j.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:58Z",
      "native_id": "2607.26184",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.26184"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Lepton-Number Violation in Higgs Effective Field Theory: Complete Operator Basis and Type-II Seesaw Matching",
  "title_text": "Lepton-Number Violation in Higgs Effective Field Theory: Complete Operator Basis and Type-II Seesaw Matching",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:17Z",
  "url": "https://research.draconitic.com/paper/1b49hyyfpzc9j",
  "venue": "arXiv",
  "versions": []
}