Light quark mass ratio from Dalitz plot of $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ decay

Abstract

High statistics Dalitz-plot distribution of $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ decay obtained recently by KLOE collaboration \cite{kloe} is fitted to the results of corresponding theoretical calculations in Chiral Perturbation Theory (ChPT) with unitarity corrections taken into account. The quark mass ratio $Q=\sqrt{(m_s^2-(m_d+m_u{)}^2/4)/(m_d^2-m_u^2)}$ can be otained from this analysis. We get $Q=22.8\pm 0.4$ which differs from the value $Q_{DT}=24.2$ that follows from Dashen's theorem and agrees with recently calculated electromagnetic kaon mass difference.

2 pages, no figures

References in corpus (5)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Dispersive analysis of the decay eta -> 3 pi
• Electromagnetic Corrections for Pions and Kaons : Masses and Polarizabilities
• Final State Interactions and Khuri-Treiman Equations in $\eta \to 3\pi$ decays
• The Electromagnetic Mass Differences of Pions and Kaons

Cited by in corpus (7)

• Unification and Fermion Mass Structure
• $\eta \to 3\pi$ at Two Loops In Chiral Perturbation Theory
• Extended chiral Khuri-Treiman formalism for $\eta \to 3\pi$ and the role of the $a_0(980)$, $f_0(980)$ resonances
• Measurement of the Slope Parameter for the eta->3pi0 Decay in the pp->pp eta Reaction
• eta and eta' Physics at MAMI
• Introduction to Chiral Perturbation Theory
• Quark Mass Ratios in ChPT with the Difference of Quark Condensates Considered