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arXiv · 1808.08957

Quark-mass dependence in $ω\to3π$ decays

Maximilian Dax·Tobias Isken·Bastian Kubis
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Abstract

We study the quark-mass dependence of $ω\to3π$ 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 $ω\to3π$ can serve as a paradigm case.

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Maximilian Dax, Tobias Isken, Bastian Kubis. 2018-10-30. Quark-mass dependence in $ω\to3π$ decays. https://doi.org/10.1140/epjc%2Fs10052-018-6346-3

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