{
  "abstract": "Loop corrections to the cosmological wavefunction involve similar integrals to those required for scattering amplitudes. For the one-loop triangle of a conformally coupled scalar, the master integrals are elliptic, and so the triangle wavefunction coefficient was expected to be elliptic as well. Using a bootstrap approach, we compute this triangle coefficient exactly and show that it is not: the elliptic periods cancel, and the flat-space wavefunction coefficient is a combination of dilogarithms. The cancellation occurs because the residue of the loop integrand on the elliptic sector is a flat-space amplitude, rational in the loop momentum. The one-loop box, by contrast, is not polylogarithmic, even with a single external leg at each site. Its threshold discontinuity involves elliptic integrals, which we also give in closed form. For regular-tetrahedron momenta the periods of a K3 surface enter its loop integrand.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38725",
  "author_total": 2,
  "authors": [
    {
      "name": "Amara McCune"
    },
    {
      "name": "Matthew D. Schwartz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d47f5ewtrnvdw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38725",
  "fulltext_url": null,
  "id": "d47f5ewtrnvdw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38725",
  "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.CO"
    ],
    [
      "arxiv",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38725",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d47f5ewtrnvdw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.38725",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38725"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.CO",
      "subfield": "cosmology"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Elliptic master integrals and the one-loop cosmological wavefunction",
  "title_text": "Elliptic master integrals and the one-loop cosmological wavefunction",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:45Z",
  "url": "https://research.draconitic.com/paper/d47f5ewtrnvdw",
  "venue": "arXiv",
  "versions": []
}