{
  "abstract": "Recently, Takaura proposed a new method for extracting the first nonzero coefficient of the low-energy expansion of an observable from its operator product expansion (OPE) in asymptotically free theories with a mass gap and a single threshold. The method uses a weight function to suppress the contribution of the ``duality-violation'' (DV) term that arises when relating the OPE to the low-energy expansion. We extend this method to low-energy expansion coefficients at arbitrary orders. We present two approaches: Method I uses weight functions that isolate the coefficients of low-energy expansion from the OPE. Method II subtracts the DV contribution from the OPE before the extraction. Applying these methods to the two-dimensional large-$N$ $O(N)$ nonlinear sigma model, we find that both methods successfully reconstruct higher-order low-energy expansion coefficients.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07389",
  "author_total": 2,
  "authors": [
    {
      "name": "Hajime Furuta"
    },
    {
      "name": "Yukinari Sumino"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4vs077bfqcmyc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07389",
  "fulltext_url": null,
  "id": "4vs077bfqcmyc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07389",
  "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",
      "hep-ph"
    ],
    [
      "arxiv",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07389",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4vs077bfqcmyc.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:30Z",
      "native_id": "2611.07389",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07389"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Improved method for extracting low-energy expansion from OPE in mass-gapped theories",
  "title_text": "Improved method for extracting low-energy expansion from OPE in mass-gapped theories",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:30Z",
  "url": "https://research.draconitic.com/paper/4vs077bfqcmyc",
  "venue": "arXiv",
  "versions": []
}