Measurement of the slope parameter \alpha for the \eta\to 3\pi^0 decay at KLOE

TL;DR

This paper presents a preliminary measurement of the slope parameter alpha for the eta to 3 pi0 decay at KLOE, using Dalitz plot analysis with 420 pb^-1 of data, aligning with theoretical predictions.

Contribution

It provides the first measurement of alpha at KLOE, offering experimental data that supports chiral perturbation theory calculations.

Findings

Measured alpha = -0.027 ± 0.004 (stat) +0.004/-0.006 (syst)

Result consistent with chiral perturbation theory

Uses Dalitz plot analysis with 420 pb^-1 data

Abstract

We report a preliminary measurement of the slope parameter $\alpha$ for the $\eta\to 3\piz$ decay carried out with KLOE at DA$\Phi$NE; where $\alpha$ is the parameter describing the energy dependence of the square of the matrix element for this decay. By fitting the event density in the Dalitz plot with a collected statistic of 420 pb$^{-1}$ we determine $\alpha = -0.027 \pm 0.004 (stat) ^{+0.004}_{-0.006} (syst)$. This result is consistent with current chiral perturbation theory calculations within the unitary approach.