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The isospin-3 three-particle K-matrix at NLO in ChPT

Baeza-Ballesteros, Jorge ; Bijnens, Johan LU orcid ; Husek, Tomáš LU ; Romero-López, Fernando ; Sharpe, Stephen R. and Sjö, Mattias LU (2023) In Journal of High Energy Physics 2023(5).
Abstract

The three-particle K-matrix, Kdf,3 , is a scheme-dependent quantity that parametrizes short-range three-particle interactions in the relativistic-field-theory three-particle finite-volume formalism. In this work, we compute its value for systems of three pions at maximal isospin through next-to-leading order (NLO) in Chiral Perturbation Theory (ChPT). We compare the values to existing lattice QCD results and find that the agreement between lattice QCD data and ChPT in the first two coefficients of the threshold expansion of Kdf,3 is significantly improved with respect to leading order once NLO effects are incorporated.

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author
; ; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Chiral Lagrangian, Hadronic Spectroscopy, Lattice QCD, Structure and Interactions
in
Journal of High Energy Physics
volume
2023
issue
5
article number
187
publisher
Springer
external identifiers
  • scopus:85160063113
ISSN
1029-8479
DOI
10.1007/JHEP05(2023)187
language
English
LU publication?
yes
id
dff6e0f5-ad48-47e8-8031-7d9a823bdc9e
date added to LUP
2023-08-23 14:56:27
date last changed
2023-11-08 09:42:28
@article{dff6e0f5-ad48-47e8-8031-7d9a823bdc9e,
  abstract     = {{<p>The three-particle K-matrix, K<sub>df</sub><sub>,</sub><sub>3</sub> , is a scheme-dependent quantity that parametrizes short-range three-particle interactions in the relativistic-field-theory three-particle finite-volume formalism. In this work, we compute its value for systems of three pions at maximal isospin through next-to-leading order (NLO) in Chiral Perturbation Theory (ChPT). We compare the values to existing lattice QCD results and find that the agreement between lattice QCD data and ChPT in the first two coefficients of the threshold expansion of K<sub>df</sub><sub>,</sub><sub>3</sub> is significantly improved with respect to leading order once NLO effects are incorporated.</p>}},
  author       = {{Baeza-Ballesteros, Jorge and Bijnens, Johan and Husek, Tomáš and Romero-López, Fernando and Sharpe, Stephen R. and Sjö, Mattias}},
  issn         = {{1029-8479}},
  keywords     = {{Chiral Lagrangian; Hadronic Spectroscopy; Lattice QCD; Structure and Interactions}},
  language     = {{eng}},
  number       = {{5}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{The isospin-3 three-particle K-matrix at NLO in ChPT}},
  url          = {{http://dx.doi.org/10.1007/JHEP05(2023)187}},
  doi          = {{10.1007/JHEP05(2023)187}},
  volume       = {{2023}},
  year         = {{2023}},
}