{
  "abstract": "Searches for parity violation (PV) in the Universe's large-scale structure have recently been carried out using parity-odd modes of the galaxy 4-Point Correlation Function (4PCF). Here, we introduce a new estimator for a 3-Point Correlation Function (3PCF) that is sensitive to PV. The construction exploits the handedness of triangles formed on 2D spherical shells, where mirror-image configurations cannot be related by proper rotations within the surface. By dotting the oriented area vector with an externally-defined normal vector to the shell, we obtain sensitivity to PV. We present a discrete estimator for this statistic and also show how to correct for the survey geometry. This parity-odd 3PCF provides a complementary test of PV in galaxy surveys and a potential cross-check of PV 4PCF measurements.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.09106",
  "author_total": 2,
  "authors": [
    {
      "name": "William Ortolá Leonard"
    },
    {
      "name": "Zachary Slepian"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/848r8b2fjg6e6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.09106",
  "fulltext_url": null,
  "id": "848r8b2fjg6e6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.09106",
  "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.CO"
    ],
    [
      "openalex",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7212064787",
  "pdf_url": "https://arxiv.org/pdf/2609.09106",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/848r8b2fjg6e6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:52Z",
      "native_id": "2609.09106",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.09106"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.CO",
      "subfield": "cosmology"
    }
  ],
  "title": "A Two-Dimensional Test of Cosmological Parity Violation with the 3-Point Correlation Function",
  "title_text": "A Two-Dimensional Test of Cosmological Parity Violation with the 3-Point Correlation Function",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:52Z",
  "url": "https://research.draconitic.com/paper/848r8b2fjg6e6",
  "venue": "arXiv",
  "versions": []
}