{
  "abstract": "Quantum corrections make the parameters of a theory depend on an arbitrary renormalization scale, $μ$. The renormalization-group (RG) running of neutrino masses and mixing is a standard tool to relate models defined at a high mass scale to measured values. A growing body of work holds that the running is also directly observable: a neutrino produced or detected at momentum transfer $Q$ would carry the mixing matrix evaluated at $μ= Q$. Proposed signatures include flavor change at zero distance from the source, shifts in the measured CP-violation phase, and an anomalous flavor composition of high-energy astrophysical neutrinos. We show that this premise is incorrect. The mixing is a property of the neutrino itself, fixed by its self-energy on the mass shell, not by the process that produces or detects it. Setting $μ= Q$ is legitimate, but then large logarithms in the self-energy undo the running; the premise incorrectly drops them. Hence, apart from small vertex and box corrections, every experiment measures the same mixing: the running is undetectable. We illustrate this in the Minimal Supersymmetric Standard Model, two seesaw models, and the Standard Model effective field theory. Independently, short-baseline data already limit the change of any one mixing angle between pion decay and detection at $Q$ of a few GeV to below $0.7^\\circ$--$2.4^\\circ$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.28744",
  "author_total": 3,
  "authors": [
    {
      "name": "Gabriela Barenboim"
    },
    {
      "name": "Mauricio Bustamante"
    },
    {
      "name": "Qinrui Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ex40x93xezceb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.28744",
  "fulltext_url": null,
  "id": "ex40x93xezceb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.28744",
  "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",
      "astro-ph.HE"
    ],
    [
      "arxiv",
      "hep-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.28744",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ex40x93xezceb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:19Z",
      "native_id": "2610.28744",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.28744"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.HE",
      "subfield": "high-energy-astrophysics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "The renormalization-group running of neutrino mixing is undetectable",
  "title_text": "The renormalization-group running of neutrino mixing is undetectable",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:19Z",
  "url": "https://research.draconitic.com/paper/ex40x93xezceb",
  "venue": "arXiv",
  "versions": []
}