Mar 12 – 16, 2018
Europe/Rome timezone

Dispersive Analysis of Mesonic 3-Body Decays

Mar 16, 2018, 10:00 AM




Mr Tobias Isken (HISKP, University of Bonn)


I will present a dispersive analysis of mesonic 3-body decay amplitudes based on the fundamental principles of analyticity and unitarity. In this framework the leading final-state interactions are fully taken into account. The first part of the talk will focus on the $\eta^\prime\to\eta\pi\pi$ decay channel [arXiv:1705.04339 [hep-ph]]. This decay offers several features of interest: due to final-state interactions it can be used to constrain $\eta\pi$ scattering. The neutral channel ($\eta^\prime\to\eta\pi^{0}\pi^{0}$) shows a cusp effect within the physical decay region. It is also an essential input for a study of inelastic effects in the decay $\eta^\prime\to3\pi$. The second part of the talk is focused on the $\omega\to3\pi$ decay. I will demonstrate how the dispersive framework can be used to investigate the quark mass dependence for a 3-body resonance. This can serve as extrapolation tool for lattice QCD calculations. Here the $\omega$ serves as paradigm case, the framework can be generalised to other 3-body decay processes.

Primary author

Mr Tobias Isken (HISKP, University of Bonn)


Prof. Bastian Kubis (University of Bonn) Dr Peter Stoffer (HISKP Uni Bonn) Dr Sebastian P. Schneider (HISKP Uni Bonn)

Presentation materials