{
  "abstract": "We perform a systematic study of an economical class of modular $S_3$ lepton-flavor models without enlarging the continuous gauge symmetry or introducing right-handed neutrinos or additional flavon fields. We provide a complete classification of all inequivalent realizations allowed by the $S_3$ singlet--doublet representation structure and the admissible modular-weight assignments. Their phenomenological viability is investigated for both normal ordering (NO) and inverted ordering (IO) using Bayesian model comparison and parameter-correlation analysis based on current neutrino-oscillation data. We identify 18 viable models for NO and 19 for IO, with 14 satisfying the experimental constraints in both orderings. The viable models successfully accommodate current neutrino-oscillation data while yielding nontrivial predictions for leptonic CP violation, Majorana phases, and observables probing the absolute neutrino-mass scale. Among these predictions, the absolute-mass observables provide the clearest separation between the two orderings. At the best-fit points, the predicted ranges of the effective electron-neutrino mass ($m_β$) are completely disjoint between NO and IO, whereas those of the sum of neutrino masses ($\\sum_i m_i$) and the effective Majorana mass ($m_{ββ}$) show only partial separation. The IO models generally predict a higher absolute neutrino-mass scale and are consequently more strongly constrained by cosmological observations and more accessible to neutrinoless double-beta-decay searches. Our results show that, despite its economical field content, the modular $S_3$ framework accommodates a diverse set of phenomenologically viable lepton-flavor realizations with experimentally testable predictions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.12323",
  "author_total": 2,
  "authors": [
    {
      "name": "V. V. Vien"
    },
    {
      "name": "Mayengbam Kishan Singh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b9bse7q5mvpx8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.12323",
  "fulltext_url": null,
  "id": "b9bse7q5mvpx8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.12323",
  "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": "W7212864859",
  "pdf_url": "https://arxiv.org/pdf/2609.12323",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b9bse7q5mvpx8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:07Z",
      "native_id": "2609.12323",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.12323"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Simple Modular $S_3$ Models for Lepton Masses and Mixing",
  "title_text": "Simple Modular S_3 Models for Lepton Masses and Mixing",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:07Z",
  "url": "https://research.draconitic.com/paper/b9bse7q5mvpx8",
  "venue": "arXiv",
  "versions": []
}