{
  "abstract": "With increasing precision of neutrino experiments, complete correlation among the oscillation parameters will scrutinize theoretical neutrino mass and mixing models. Using available 1D--3D global-fit datasets, we construct a multidimensional $\\tildeχ^2$ function that provides a conservative estimate of the full six-dimensional parameter correlations. In our approach, we delineate the model-constrained parameter space by combining the interpolated experimental data with the analytical relations implied by a given mixing scheme. We identify $\\tildeχ^2_{\\text{min}}$, corresponding to the optimal agreement attainable for parameter points satisfying the model. Applying this framework to several schemes ($\\text{TM}_{1,2}$, $\\mu1,2$--$\\tau1,2$) yields generally better fits for IO than for NO, with the $\\mu1$--$\\tau1$ scheme under IO providing the best overall fit. While $\\mu1,2$--$\\tau1,2$ and $\\text{TM}_1$ schemes perform significantly better than $\\text{TM}_2$, the latter is excluded at $>3σ$ C.L. using NuFIT~v6.1 data. We further evaluate the implications of these correlation-respecting constraints on the effective neutrino mass observables relevant to tritium $β$-decay ($m_β$) and neutrinoless double $β$-decay ($m_{ββ}$). The proposed approach can be readily extended to test any theoretical framework that predicts algebraic relations among neutrino oscillation parameters, and we provide a GitHub starter kit.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27270",
  "author_total": 3,
  "authors": [
    {
      "name": "Janusz Gluza"
    },
    {
      "name": "Biswajit Karmakar"
    },
    {
      "name": "Szymon Zięba"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/49cn7ja2qksa6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27270",
  "fulltext_url": null,
  "id": "49cn7ja2qksa6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27270",
  "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|Neutrino Physics Research"
    ]
  ],
  "openalex": "W7223087891",
  "pdf_url": "https://arxiv.org/pdf/2610.27270",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/49cn7ja2qksa6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.27270",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27270"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Correlations in oscillation data and their impact on neutrino mixing models",
  "title_text": "Correlations in oscillation data and their impact on neutrino mixing models",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/49cn7ja2qksa6",
  "venue": "arXiv",
  "versions": []
}