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Three-body final state interaction in η to 3 π updated
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Three-body final state interaction in η to 3 π updated
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In view of the recent high-statistic KLOE data for the $\eta \to \pi^+ \pi^- \pi^0$ 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 $Q=21.6 \pm 1.1$. The predicted slope parameter for the neutral channel $\alpha=-0.025\pm 0.004$ is in reasonable agreement with the PDG average value.
Forward citations
Cited by 2 Pith papers
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Production Effects and Final-state Interactions in $\pi_1 \to 3\pi$
A Khuri-Treiman model with contact and one-pion-exchange production terms fits COMPASS's π1→3π freed-isobar data and produces a smooth 1.6 GeV structure in the extracted production strengths.
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Hidden-sectors search and probe of discrete symmetries at the REDTOP experiment
REDTOP targets O(10^14) eta and O(10^12) eta-prime decays to probe four hidden sector portals and test CP/T invariance plus lepton universality.
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