{
  "abstract": "This article proposes a dynamical framework to address the charged-lepton mass hierarchy and derive the empirical Koide formula. We postulate a $U(3)_F$ flavor symmetry at the high-energy scale, where a heavy dynamical flavon field couples to the electroweak Higgs sector via an effective operator. As the universe cools, spontaneous symmetry breaking of the flavor group occurs following the pattern $U(3)_F \\to U(1)^3_F$. Subsequently, the electroweak symmetry breaking at the Fermi scale generates the charged-lepton mass matrix. The phenomenological values of these masses are determined in the infrared regime, where the effective potential governing the flavon VEV undergoes a dynamical vacuum alignment.The stable minimum of this potential enforces an algebraic equipartition between the flavor-singlet and flavor-octet invariants ($I_{(0)} = I_{(8)}$). This geometric equilibrium yields the Koide mass ratio ($Q=2/3$), successfully identifying the dynamically generated eigenvalues with the physical pole masses of the electron, muon, and tau.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.19277",
  "author_total": 1,
  "authors": [
    {
      "name": "Olivier Rousselle"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2htkvaxqvb6yf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.19277",
  "fulltext_url": null,
  "id": "2htkvaxqvb6yf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.19277",
  "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": "W7203926293",
  "pdf_url": "https://arxiv.org/pdf/2608.19277",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2htkvaxqvb6yf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2608.19277",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.19277"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Effective flavor interaction for the charged-lepton mass hierarchy and the Koide relation",
  "title_text": "Effective flavor interaction for the charged-lepton mass hierarchy and the Koide relation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/2htkvaxqvb6yf",
  "venue": "arXiv",
  "versions": []
}