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Three-pion scattering : From the chiral Lagrangian to the lattice

Baeza-Ballesteros, Jorge ; Bijnens, Johan LU orcid ; Husek, Tomáš LU ; Romero-López, Fernando ; Sharpe, Stephen R. and Sjö, Mattias LU (2024) In Nuclear and Particle Physics Proceedings 343. p.32-36
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... (More)

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.

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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Chiral Lagrangian, Hadronic spectroscopy, Lattice QCD, Structure and interactions
in
Nuclear and Particle Physics Proceedings
volume
343
pages
32 - 36
publisher
Elsevier
external identifiers
  • scopus:85173252791
ISSN
2405-6014
DOI
10.1016/j.nuclphysbps.2023.09.023
language
English
LU publication?
yes
id
22db9030-7f9d-40ba-9f5d-d4a4cbd4b130
date added to LUP
2024-01-12 11:09:59
date last changed
2025-10-14 12:58:58
@article{22db9030-7f9d-40ba-9f5d-d4a4cbd4b130,
  abstract     = {{<p>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.</p>}},
  author       = {{Baeza-Ballesteros, Jorge and Bijnens, Johan and Husek, Tomáš and Romero-López, Fernando and Sharpe, Stephen R. and Sjö, Mattias}},
  issn         = {{2405-6014}},
  keywords     = {{Chiral Lagrangian; Hadronic spectroscopy; Lattice QCD; Structure and interactions}},
  language     = {{eng}},
  pages        = {{32--36}},
  publisher    = {{Elsevier}},
  series       = {{Nuclear and Particle Physics Proceedings}},
  title        = {{Three-pion scattering : From the chiral Lagrangian to the lattice}},
  url          = {{http://dx.doi.org/10.1016/j.nuclphysbps.2023.09.023}},
  doi          = {{10.1016/j.nuclphysbps.2023.09.023}},
  volume       = {{343}},
  year         = {{2024}},
}