PT Journal AU Baeza-Ballesteros, J Bijnens, J Husek, T Romero-Lopez, F Sharpe, SR Sjo, M TI The three-pion K-matrix at NLO in ChPT SO Journal of High Energy Physics JI J. High Energy Phys. PY 2024 BP 048 EP 43pp VL 03 IS 3 DI 10.1007/JHEP03(2024)048 LA English DE Chiral Lagrangian; Hadronic Spectroscopy; Structure and Interactions; Lattice QCD AB The three-particle K-matrix, K-df,K-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. ER