{
  "abstract": "We present the first computation of the $π^+π^+$ scattering length in large-$N$ QCD in the 't Hooft limit, $N_{\\scriptscriptstyle{\\rm f}}/N\\to 0$, using the twisted Eguchi--Kawai formulation of the lattice theory. We employ values of $N$ up to 1156 and consider several quark masses and lattice spacings to achieve controlled large-$N$, continuum, and chiral limits. The chiral behavior of the scattering length is compared with next-to-leading-order Chiral Perturbation Theory predictions. Our result for the low-energy coupling describing the sub-leading quark-mass dependence is consistent with existing S-matrix bootstrap bounds. Combining TEK results with previous lattice QCD data obtained using standard methods for $3\\le N\\le 6$, we are also able to extract sub-leading $\\mathcal{O}(1/N)$ corrections to the large-$N$ scattering length.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35176",
  "author_total": 6,
  "authors": [
    {
      "name": "Claudio Bonanno"
    },
    {
      "name": "Margarita García Pérez"
    },
    {
      "name": "Antonio González-Arroyo"
    },
    {
      "name": "Ken-Ichi Ishikawa"
    },
    {
      "name": "Masanori Okawa"
    },
    {
      "name": "Fernando Romero-López"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/98pabfg4geph3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35176",
  "fulltext_url": null,
  "id": "98pabfg4geph3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35176",
  "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",
      "hep-lat"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7223931110",
  "pdf_url": "https://arxiv.org/pdf/2610.35176",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/98pabfg4geph3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.35176",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35176"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Large-$N$ $π^+π^+$ scattering from twisted Eguchi--Kawai reduction",
  "title_text": "Large-N π^+π^+ scattering from twisted Eguchi--Kawai reduction",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/98pabfg4geph3",
  "venue": "arXiv",
  "versions": []
}