{
  "abstract": "The possibility of describing neutrino masses through a single multiplet of modular forms in a modular symmetric framework is reanalysed. The minimal model achieving this is Feruglio's model based on modular $A_4$ symmetry, which contains a chiral flavon triplet $ϕ$, with all neutrino masses and mixing determined by a superfield triplet of modular forms $Y(τ)$. We point out that, in local supersymmetry, these superfields by themselves allow an additional $R$-parity-violating contribution to neutrino masses originating from the Kähler potential of the model. The $R$ violation manifests through a bilinear term $ε_i L_i H_u$ in the effective superpotential, with parameters $ε_i$ determined in terms of $Y(τ)$ and its derivatives. The Kähler potential also mixes neutrinos with the fermionic component of $ϕ$, leading to seesaw neutrino masses when these fermions are massive. Two separate cases are analysed, with neutrinos obtaining mass through the Weinberg operator or through the $ϕ$-induced seesaw. Unlike the original model, adding the $R$-violating contribution allows accurate reproduction of neutrino mixing angles and mass ratios for both the normal and inverted orderings in either case, with the Weinberg operator predicting a sum of neutrino masses close to the cosmological limit and the seesaw mechanism predicting ones comfortably below it.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25592",
  "author_total": 2,
  "authors": [
    {
      "name": "Anjan S. Joshipura"
    },
    {
      "name": "Ketan M. Patel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6c3yvdt6cmqk9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25592",
  "fulltext_url": null,
  "id": "6c3yvdt6cmqk9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25592",
  "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": "W7214122858",
  "pdf_url": "https://arxiv.org/pdf/2609.25592",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6c3yvdt6cmqk9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:39Z",
      "native_id": "2609.25592",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25592"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Restoring minimal modular neutrino masses via Kähler $R$-parity violation",
  "title_text": "Restoring minimal modular neutrino masses via Kähler R-parity violation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:39Z",
  "url": "https://research.draconitic.com/paper/6c3yvdt6cmqk9",
  "venue": "arXiv",
  "versions": []
}