{
  "abstract": "We investigate non-invertible completions of anomalous flavor symmetries and their application to Dirac neutrino masses. We formulate symmetry defects dressed by topological quantum field theories for flavor symmetries including finite non-Abelian flavor transformations with rational anomaly characters and modular flavor symmetries with the rational part of modular anomaly cocycles, for gauge sectors with the required exact higher-form symmetry. As a concrete example, we construct a Froggatt-Nielsen (FN) model in which an order-four subgroup $\\mathbb Z_4^{\\rm FN}\\subset U(1)_{\\rm FN}$ is completed into a non-invertible defect through its mixed anomaly with an intermediate hidden $U(1)_H$ gauge sector in the infrared monopole-decoupling limit. The non-invertible FN symmetry can be explicitly broken at the energy scale where monopoles become dynamical. This breaking from the infrared viewpoint can be realized in an ultraviolet hidden $SU(2)_H$ theory as instanton effects, where a constrained instanton with topological charge one generates a fermion mixing term that violates FN charge by one unit. Its coefficient contains the nonperturbative factor $ζ_H\\sim\\exp[-8π^2/g_H^2(v_H)]$. When independent FN-breaking terms are subleading, integrating out the heavy fermions gives $(Y_ν)_{ij}\\proptoζ_Hε^{\\ell_i+n_j}$ in a rotated basis for the right-handed neutrinos, to leading order in the instanton-induced fermion mixing. The nonperturbative factor provides the exponential suppression of the neutrino Yukawa couplings, while the FN charges determine the powers of $ε$. For the chosen FN charges and generic order-one coefficients, $m_2/m_3\\simε$, favoring normal ordering. An independent $\\mathbb Z_8^D$ gauge symmetry forbids Majorana masses. The same FN charge assignment reproduces the leading quark and charged-lepton Yukawa hierarchies.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21688",
  "author_total": 2,
  "authors": [
    {
      "name": "Hajime Otsuka"
    },
    {
      "name": "Ryo Yokokura"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/973f19sc6pr15.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21688",
  "fulltext_url": null,
  "id": "973f19sc6pr15",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21688",
  "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"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Particle physics theoretical and experimental studies"
    ]
  ],
  "openalex": "W7222401980",
  "pdf_url": "https://arxiv.org/pdf/2610.21688",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/973f19sc6pr15.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.21688",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21688"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Non-Invertible Froggatt-Nielsen Symmetry",
  "title_text": "Non-Invertible Froggatt-Nielsen Symmetry",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/973f19sc6pr15",
  "venue": "arXiv",
  "versions": []
}