The three-pion K-matrix at NLO in ChPT
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13130_2024_Article_22992.pdf
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Author(s) • • • • •
Baeza-Ballesteros, Jorge
Bijnens, Johan
Husek, Tomáš
Romero-López, Fernando
Sharpe, Stephen R.
Sjö, Mattias
Date Issued
March 8, 2024
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2024 Mar 08;2024(3):48
Version
Final published version
Abstract
The three-particle K-matrix,
K
$$ \mathcal{K} $$
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 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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP03(2024)048