{
  "abstract": "The reconstruction of $τ$ lepton momenta in $e^{+}e^{-} \\to τ^{+}τ^{-}$ processes suffers from a two-fold kinematic ambiguity due to undetected neutrinos. We show that the common practice of retaining both solutions with equal weight systematically biases the extracted angular coefficients: the bias grows with the size of the $\\cos^{2}θ$ modulation of the production distribution $f(\\cosθ)$, but remains resolvable even in the nearly uniform QED limit at the $ψ(2S)$ threshold. We propose a self-consistent weighting method based on a fixed-point theorem: assigning normalized weights $w_{i} = f(\\cosθ_{i})/[f(\\cosθ_{1})+f(\\cosθ_{2})]$ yields a weighted distribution $h(x) = f(x)[1+\\varepsilon(x)]$ with $\\varepsilon(x) \\ll 1$ under a detailed balance condition. Monte Carlo simulations at $\\sqrt{s}=3.686$~GeV and $4.8$~GeV show that the fixed-point iteration converges to the true angular coefficient $α$ within statistical uncertainty, providing a robust framework for angular analysis without event-by-event ambiguity resolution.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01533",
  "author_total": 1,
  "authors": [
    {
      "name": "Rong-Gang Ping"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/05th7kcm2jf28.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01533",
  "fulltext_url": null,
  "id": "05th7kcm2jf28",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01533",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-ex"
    ],
    [
      "arxiv",
      "hep-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01533",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/05th7kcm2jf28.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.01533",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01533"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ex",
      "subfield": "high-energy"
    }
  ],
  "title": "Resolving the Two-Fold Ambiguity in Tau Momentum Reconstruction via a Self-Consistent Weighting Method",
  "title_text": "Resolving the Two-Fold Ambiguity in Tau Momentum Reconstruction via a Self-Consistent Weighting Method",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:56Z",
  "url": "https://research.draconitic.com/paper/05th7kcm2jf28",
  "venue": "arXiv",
  "versions": []
}