English

Three-body final state interaction in $\eta \to 3 \pi$ updated

High Energy Physics - Phenomenology 2017-06-14 v3

Abstract

In view of the recent high-statistic KLOE data for the ηπ+ππ0\eta \to \pi^+ \pi^- \pi^0 decay, a new determination of the quark mass double ratio has been done. Our approach relies on a dispersive model that takes into account rescattering effects between three pions via subenergy unitarity. The latter is essential to reproduce the Dalitz plot distribution. A simultaneous description of the KLOE and WASA-at-COSY data is achieved in terms of just two real parameters. From a global fit, we determine Q=21.6±1.1Q=21.6 \pm 1.1. The predicted slope parameter for the neutral channel α=0.025±0.004\alpha=-0.025\pm 0.004 is in reasonable agreement with the PDG average value.

Keywords

Cite

@article{arxiv.1608.01447,
  title  = {Three-body final state interaction in $\eta \to 3 \pi$ updated},
  author = {P. Guo and I. V. Danilkin and C. Fernández-Ramírez and V. Mathieu and A. P. Szczepaniak},
  journal= {arXiv preprint arXiv:1608.01447},
  year   = {2017}
}

Comments

7 pages, 2 figures

R2 v1 2026-06-22T15:11:59.488Z