{
  "abstract": "Recent work on the two-Higgs-doublet model (2HDM) has uncovered basis-invariant relations among the parameters in the scalar potential that are stable under renormalization group (RG) evolution but do not coincide with any of the standard Higgs-family or Generalized-$\\mathrm{CP}$ symmetry classes of the scalar sector. These relations have subsequently been reformulated in terms of so-called GOOFy transformations. In this paper, we show that the same fixed surface admits a conventional interpretation in terms of spurions. The gauge-covariant kinetic terms of the 2HDM possess a Higgs-family $\\mathrm{U}(2)_H$ symmetry, and the couplings in the potential may be organized into irreducible spurions under its nontrivial $\\mathrm{SU}(2)_H$ subgroup. We first explain the one-loop closure in the spurion language and then establish stability to all orders in the scalar and gauge couplings in any mass-independent scheme. General Yukawa couplings introduce additional Higgs-family covariants and can spoil the scalar-sector selection rule. We therefore consider the six conventional Higgs-family and Generalized-$\\mathrm{CP}$ symmetries of the 2HDM, imposed as exact symmetries of the full Lagrangian, and show that closure is controlled by whether the relevant Higgs-family triplet contains an invariant direction. The spurion formulation thus provides a basis-covariant and conventional group-theoretic explanation of the RG stability of the 2HDM parameter relations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18976",
  "author_total": 2,
  "authors": [
    {
      "name": "Zackaria Chacko"
    },
    {
      "name": "Shourya Mukherjee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fw32hbdgj9zv6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18976",
  "fulltext_url": null,
  "id": "fw32hbdgj9zv6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18976",
  "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": "W7222088284",
  "pdf_url": "https://arxiv.org/pdf/2610.18976",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fw32hbdgj9zv6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.18976",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18976"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "A spurionic interpretation of RG-stable parameter relations in the two-Higgs-doublet model",
  "title_text": "A spurionic interpretation of RG-stable parameter relations in the two-Higgs-doublet model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/fw32hbdgj9zv6",
  "venue": "arXiv",
  "versions": []
}