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Quark-mass dependence in

By Maximilian Dax, Tobias Isken and Bastian Kubis


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
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