Rescattering effects in eta {\to} 3pi decays

TL;DR

This paper investigates the effects of rescattering in eta to 3pi decays using a non-relativistic effective field theory to improve the theoretical description of Dalitz plot parameters, aiming to reconcile theory with experimental data.

Contribution

It introduces a modified non-relativistic effective field theory framework to analyze final-state interactions in eta decays, providing more accurate predictions of Dalitz plot parameters.

Findings

Predicted alpha parameter: -0.025 ± 0.005

Identified tension between KLOE measurements and theoretical predictions

Enhanced understanding of isospin-breaking effects in eta decays

Abstract

The isospin-breaking decay eta {\to} 3pi is an ideal tool to extract information on light quark mass ratios from experiment. For a precise determination, however, a detailed description of the Dalitz plot distribution is necessary. In that respect, in particular the slope parameter alpha of the neutral decay channel causes some concern, since the one-loop prediction from chiral perturbation theory misses the experimental value substantially. We use the modified non-relativistic effective field-theory, a dedicated framework to analyze final-state interactions beyond one loop including isospin-breaking corrections, to extract charged and neutral Dalitz plot parameters. Matching to chiral perturbation theory at next-to-leading order, we find alpha = -0.025 +- 0.005, in marginal agreement with experimental findings. We derive a relation between charged and neutral decay parameters that points towards a significant tension between the most recent KLOE measurements of these observables.