{
  "id": "2309.17107",
  "version": "v1",
  "published": "2023-09-29T10:07:10.000Z",
  "updated": "2023-09-29T10:07:10.000Z",
  "title": "Three-pion scattering: From the chiral Lagrangian to the lattice",
  "authors": [
    "Jorge Baeza-Ballesteros",
    "Johan Bijnens",
    "Tomáš Husek",
    "Fernando Romero-López",
    "Stephen R. Sharpe",
    "Mattias Sjö"
  ],
  "comment": "Contribution to the 26th high-energy physics international conference in quantum chromodynamics (QCD23)",
  "categories": [
    "hep-ph",
    "hep-lat"
  ],
  "abstract": "In recent years, detailed studies of three-pion systems have become possible in lattice QCD. This has in turn led to interest in 3-to-3 scattering of pions in the chiral perturbation theory framework. In addition to being an interesting study of multi-meson dynamics in its own right, it provides a valuable handle on finite-volume effects and the pion mass dependence, thus complementing the lattice results. I present our derivation of the next-to-leading order amplitude for this process, as well as its conversion into the three-particle K-matrix, which enables direct comparison to the lattice. Our results significantly improve the agreement between theory and lattice, which was poor when only leading-order effects were taken into account.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-29T10:07:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chiral lagrangian",
      "three-pion scattering",
      "chiral perturbation theory framework",
      "pion mass dependence",
      "enables direct comparison"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}