Speaker
Description
Hadronic resonances are emergent phenomena of Quantum Chromodynamics at intermediate energies. Almost all resonances decay not only to two, but also to three or more particles. Parametrizing three-body dynamics in terms of unitary coupled-channel amplitudes is, therefore, a prerequisite for the extraction of resonances from experiment and also from finite-volume lattice QCD spectra. In the talk, construction principles, examples, and applications for three-body amplitudes will be presented, including the axial $a_1(1260)$ and its three-pion dynamics, its determination from lattice QCD, and recent extensions to strangeness channels and complex energies, as well as connections to triangle singularities.