{
  "abstract": "We extend the large $N$ bootstrap of pion scattering to nonzero pion mass, and apply the same formalism to glueball scattering. Our bounds apply to Taylor coefficients and on-shell couplings of the exact planar amplitude. They do not rely on a truncated chiral expansion, so we can follow them as the quark mass varies, and apply them to glueballs, for which no low-energy effective theory exists. For pions, we bound the $O(p^4)$ coefficients and the $ππf_2$ coupling. As in the chiral limit, the bound on the $ππf_2$ coupling features a kink, where the extracted spectrum closely resembles the real-world meson spectrum. For glueballs, we bound the couplings of the lightest scalar glueball to heavier glueballs of higher spin, using the large $N$ lattice spectrum as input, and find extremal solutions with linear Regge trajectories.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31578",
  "author_total": 2,
  "authors": [
    {
      "name": "Sebastiano Bocchia"
    },
    {
      "name": "Andrea Guerrieri"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3tzs2nz8gctjm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31578",
  "fulltext_url": null,
  "id": "3tzs2nz8gctjm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31578",
  "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-th"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7223382338",
  "pdf_url": "https://arxiv.org/pdf/2610.31578",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3tzs2nz8gctjm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.31578",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31578"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Large $N$ hadron scattering bootstrap: massive pions and glueballs",
  "title_text": "Large N hadron scattering bootstrap: massive pions and glueballs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:34Z",
  "url": "https://research.draconitic.com/paper/3tzs2nz8gctjm",
  "venue": "arXiv",
  "versions": []
}