Quark-mass dependence in $$omega rightarrow 3pi $$ decays |
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Authors: | Maximilian Dax Tobias Isken Bastian Kubis |
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Affiliation: | 1.Helmholtz-Institut für Strahlen- und Kernphysik (Theorie),Universit?t Bonn,Bonn,Germany;2.Bethe Center for Theoretical Physics,Universit?t Bonn,Bonn,Germany |
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Abstract: | We study the quark-mass dependence of (omega rightarrow 3pi ) 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 3pi ) can serve as a paradigm case. |
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