{
  "abstract": "We present a novel approach for solving canonical differential equations for Feynman integrals based on an approximation of the integrals with Chebyshev polynomials. By exploiting the analyticity properties of Feynman integrals, the method constructs rapidly converging polynomial approximations along a path, enabling highly efficient numerical evaluation. Moreover, we introduce an adaptive approximation method that dynamically samples to optimise convergence. We implement this framework in double-precision arithmetic and demonstrate its stability across physical phase space using a series of two-loop, five-point examples. Our proof-of-principle implementation proves competitive with state-of-the-art one-fold integral methods, while requiring little to no case-by-case intervention to handle spurious singularities.",
  "abstract_shown": true,
  "affiliations": [
    "Theoretical Physics Department, CERN",
    "The University of Edinburgh",
    "Universidade de Lisboa",
    "LIP — Laboratório de Instrumentação e Física Experimental de Partículas",
    "Ghent University"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Samuel Abreu",
      "orcid": "0000-0002-5966-2012"
    },
    {
      "affs": [
        2,
        3
      ],
      "name": "Afonso Guerreiro",
      "orcid": "0009-0008-7387-0265"
    },
    {
      "affs": [
        4
      ],
      "name": "Ben Page",
      "orcid": "0000-0001-7147-501X"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1htrwv56b5awz.bib",
  "cited_by": 1,
  "doi": "10.1007/jhep11(2026)038",
  "fulltext_url": null,
  "id": "1htrwv56b5awz",
  "issns": [
    "1029-8479"
  ],
  "landing_url": "https://link.springer.com/article/10.1007/JHEP11(2026)038",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0",
  "metadata_licence": null,
  "native_subjects": [
    [
      "feed-journal",
      "physics/high-energy"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/JHEP11(2026)038.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": "Springer Science and Business Media LLC",
  "ris": "https://research.draconitic.com/paper/1htrwv56b5awz.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:20:43Z",
      "native_id": "10.1007/jhep11(2026)038",
      "source": "feed-springer",
      "url": "https://link.springer.com/article/10.1007/JHEP11(2026)038"
    },
    {
      "first_seen": "2026-11-06T12:20:49Z",
      "native_id": "10.1007/jhep11(2026)038",
      "source": "crossref",
      "url": "https://link.springer.com/article/10.1007/JHEP11(2026)038"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "feed-journal:physics/high-energy",
      "subfield": "high-energy"
    }
  ],
  "title": "Chebyshev approximations of Feynman integrals for collider physics",
  "title_text": "Chebyshev approximations of Feynman integrals for collider physics",
  "type": "peer-reviewed",
  "updated_at": "2026-11-08T00:21:04Z",
  "url": "https://research.draconitic.com/paper/1htrwv56b5awz",
  "venue": "Journal of High Energy Physics",
  "versions": []
}