## Quark-mass dependence in

### Abstract

We study the quark-mass dependence of $$\omega \rightarrow 3\pi$$ decays, based on a dispersion-theoretical framework. We rely on the quark-mass-dependent scattering phase shift for the pion–pion P-wave extracted from unitarized chiral perturbation theory. The dispersive representation then takes into account the final-state rescattering among all three pions. The described formalism may be used as an extrapolation tool for lattice QCD calculations of three-pion decays, for which $$\omega \rightarrow 3\pi$$ can serve as a paradigm case

Publisher: Springer Berlin Heidelberg
DOI identifier: 10.1140/epjc/s10052-018-6346-3
OAI identifier: oai:edpsciences.org:dkey/10.1140/epjc/s10052-018-6346-3