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The three-pion K-matrix at NLO in ChPT

Baeza-Ballesteros, Jorge ; Bijnens, Johan LU orcid ; Husek, Tomáš ; Romero-López, Fernando ; Sharpe, Stephen R. and Sjö, Mattias LU (2024) In Journal of High Energy Physics 2024(3).
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 in all isospin channels through next-to-leading order in Chiral Perturbation Theory, generalizing previous work done at maximum isospin. We obtain analytic expressions through quadratic order (or cubic order, in the case of zero isospin) in the expansion about the three-pion threshold.

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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
2024
issue
3
article number
48
publisher
Springer
external identifiers
  • scopus:85187417927
ISSN
1029-8479
DOI
10.1007/JHEP03(2024)048
language
English
LU publication?
yes
id
959c1365-0c7c-49ec-96b5-98b0f0adfe85
date added to LUP
2024-04-10 11:39:53
date last changed
2024-04-10 11:39:53
@article{959c1365-0c7c-49ec-96b5-98b0f0adfe85,
  abstract     = {{<p>The three-particle K-matrix, K<sub>df,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 in all isospin channels through next-to-leading order in Chiral Perturbation Theory, generalizing previous work done at maximum isospin. We obtain analytic expressions through quadratic order (or cubic order, in the case of zero isospin) in the expansion about the three-pion threshold.</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       = {{3}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{The three-pion K-matrix at NLO in ChPT}},
  url          = {{http://dx.doi.org/10.1007/JHEP03(2024)048}},
  doi          = {{10.1007/JHEP03(2024)048}},
  volume       = {{2024}},
  year         = {{2024}},
}