Jun 5 – 9, 2023
Genova, Italy
Europe/Rome timezone

The three-particle $K$-matrix at NLO in ChPT

Jun 7, 2023, 2:48 PM
DAD - Room 5H (Genova, Italy)

DAD - Room 5H

Genova, Italy

Contributed Hadron decays, production and interactions Hadron decays, production and interaction


Tomáš Husek (Charles University)


The three-particle $K$-matrix, $\mathcal{K}_{\mathrm{df},3}$, is a scheme-dependent quantity that parametrizes short-range three-particle interactions in the relativistic-field-theory three-particle finite-volume formalism. In this talk, I briefly present our earlier calculation of the six-pion amplitude at next-to-leading order (NLO) in Chiral Perturbation Theory (ChPT) and our recent findings about how it relates to the $K$-matrix for systems of three pions at maximal isospin. The resulting values are then compared to existing lattice QCD results. The agreement between lattice QCD data and ChPT in the first two coefficients of the threshold expansion of $\mathcal{K}_{\mathrm{df},3}$ is significantly improved once NLO effects are incorporated.

Primary author

Tomáš Husek (Charles University)


Fernando Romero-López (MIT) Prof. Johan Bijnens (Lund University) Jorge Baeza-Ballesteros (IFIC, Valencia) Mattias Sjö (Lund University) Stephen R. Sharpe (Washington University)

Presentation materials