https://doi.org/10.1140/epjc/s10052-018-6346-3
Regular Article - Theoretical Physics
Quark-mass dependence in 
decays
1
Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Universität Bonn, Nussallee 14–16, 53115, Bonn, Germany
2
Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany
* e-mail: isken@hiskp.uni-bonn.de
Received:
29
August
2018
Accepted:
14
October
2018
Published online:
25
October
2018
We study the quark-mass dependence of 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 can serve as a paradigm case.
© The Author(s), 2018
