Three-pion scattering : From the chiral Lagrangian to the lattice
(2023) In Nuclear and Particle Physics Proceedings- 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.
(Less)
- author
- Baeza-Ballesteros, Jorge ; Bijnens, Johan LU ; Husek, Tomáš LU ; Romero-López, Fernando ; Sharpe, Stephen R. and Sjö, Mattias LU
- organization
- publishing date
- 2023
- type
- Contribution to journal
- publication status
- in press
- subject
- keywords
- Chiral Lagrangian, Hadronic spectroscopy, Lattice QCD, Structure and interactions
- in
- Nuclear and Particle Physics Proceedings
- 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
- 2024-01-12 11:09:59
@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}}, 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}}, year = {{2023}}, }