Multi-particle systems on the lattice and chiral extrapolations: a brief review

The extraction of two- and three-body hadronic scattering amplitudes the properties low-lying resonances from finite-volume energy levels in lattice QCD represents a rapidly developing field research. use various modifications Lüscher method has opened path to calculate infinite-volume on lattice. Many new results have been obtained recently for different processes, including resonance poles their data. Such studies, however, require robust parametrizations amplitudes, which rely basic S-matrix theory and—preferably—encompass systems with quark masses at away physical point. Parametrizations this kind, provided by unitarized Chiral Perturbation Theory, are discussed review. Special attention is paid lattice, owing growing interest field. Here, we briefly survey formalism, chiral extrapolation, as well analyses