{
  "abstract": "Given a high-energy astrophysical neutrino flux, its source flavor ratios $η= \\{η^{}_e, η^{}_μ, η^{}_τ\\}$ are correlated with the ones $f = \\{f^{}_e, f^{}_μ, f^{}_τ\\}$ measured at a neutrino telescope via $f = P η$, where the elements of $P$ consist of four lepton flavor mixing parameters. But realistic {\\it inverse} flavor mapping $η= P^{-1} f$ encounters unavoidable parameter degeneracy and information loss, especially in or near the $\\det P = 0$ limit allowed by current neutrino oscillation data. In this work we explore the parameter correlation condition for $\\det P = 0$ including the $μ$-$τ$ reflection symmetry case, formulate the corresponding constraints on $f^{}_e$ and $f^{}_μ$ versus $η^{}_e$ and $η^{}_μ$, and illustrate to what extent the source flavor distribution can be mapped by using the recent IceCube all-sky neutrino flux data ranging from 5 TeV to 10 PeV under the assumption that the relevant sources have a common flavor composition.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.35132",
  "author_total": 3,
  "authors": [
    {
      "name": "Zi-Qiang Chen"
    },
    {
      "name": "Zhi-zhong Xing"
    },
    {
      "name": "Ye-Ling Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f1xcf2ez477eh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.35132",
  "fulltext_url": null,
  "id": "f1xcf2ez477eh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.35132",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "astro-ph.HE"
    ],
    [
      "arxiv",
      "hep-ex"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "openalex",
      "3106|Neutrino Physics Research"
    ]
  ],
  "openalex": "W7214764212",
  "pdf_url": "https://arxiv.org/pdf/2609.35132",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f1xcf2ez477eh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2609.35132",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.35132"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.HE",
      "subfield": "high-energy-astrophysics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-ex",
      "subfield": "high-energy"
    }
  ],
  "title": "Parameter degeneracy and information loss in inverse flavor mapping for high-energy astrophysical neutrinos",
  "title_text": "Parameter degeneracy and information loss in inverse flavor mapping for high-energy astrophysical neutrinos",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:22Z",
  "url": "https://research.draconitic.com/paper/f1xcf2ez477eh",
  "venue": "arXiv",
  "versions": []
}