The isospin-3 three-particle K-matrix at NLO in ChPT
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Author(s)
Baeza-Ballesteros, Jorge
Bijnens, Johan
Husek, Tomáš
Romero-López, Fernando
Sharpe, Stephen R.
Sjö, Mattias
Date Issued
May 23, 2023
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2023 May 23;2023(5):187
Version
Final published version
Abstract
Abstract
The three-particle K-matrix,
K
df
,
3
$$ {\mathcal{K}}_{\textrm{df},3} $$
, 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
K
df
,
3
$$ {\mathcal{K}}_{\textrm{df},3} $$
is significantly improved with respect to leading order once NLO effects are incorporated.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP05(2023)187
