Speaker
Mr
Tobias Isken
(HISKP, University of Bonn)
Description
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)
Co-authors
Prof.
Bastian Kubis
(University of Bonn)
Dr
Peter Stoffer
(HISKP Uni Bonn)
Dr
Sebastian P. Schneider
(HISKP Uni Bonn)
