Potential pollution of the K π-puzzle by the isospin-breaking π 0-η-η' mixing effect *

Abstract

Abstract The influence of the isospin-breaking mixing effect on the -asymmetries of processes is examined for the first time. It is found that this mixing effect presents significant uncertainty for both the -asymmetry sum rule of processes and the -asymmetry difference of and , potentially obscuring the significance of the -puzzle. As the correction caused by the mixing effect is highly dependent on four strong non-perturbative phases, a definitive conclusion is currently unavailable.