Determination of the \eta\to\pi^+\pi^-\pi^0 Dalitz Plot slopes and asymmetries with the KLOE detector

TL;DR

This paper reports precise measurements of the Dalitz plot slopes and asymmetries in the decay 1 ecay of the eta meson using the KLOE detector, providing insights into quark mass differences and C-violation.

Contribution

First precise measurement of Dalitz plot slopes and asymmetries in 1 ecay using KLOE data, improving understanding of decay dynamics and symmetry violations.

Findings

Measured Dalitz plot slope parameters with high precision.

Established new limits on C-violating asymmetries.

Enhanced knowledge of 1 ecay amplitude and quark mass difference.

Abstract

We have studied, with the KLOE detector at the DA$\Phi$NE $\Phi$-Factory, the dynamics of the decay $\eta\to\pi^+\pi^-\pi^0$ using data from the radiative $\phi\to\eta\gamma$ decay for an integrated luminosity $L = 450 \textrm{pb^{-1}}$. From a fit to the Dalitz plot density distribution we obtain a precise measurement of the slope parameters. This should allow to improve the knowledge of the decay amplitude which is sensitive to the u-d quark mass difference. We also present new best results on the C-violating asymmetries in the $\eta\to\pi^+\pi^-\pi^0$ decay.