Mar 12 – 16, 2018
GGI
Europe/Rome timezone

Dispersive Analysis of Mesonic 3-Body Decays

Mar 16, 2018, 10:00 AM
30m
GGI

GGI

Firenze

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)

Presentation materials