$\eta \to 3\pi$ at Two Loops In Chiral Perturbation Theory

Abstract

We calculate the decay $\eta \to 3\pi$ at next-to-next-to-leading order or order $p^6$ in Chiral Perturbation Theory. The corrections are somewhat larger than was indicated by dispersive estimates. We present numerical results for the Dalitz plot parameters, the ratio $r$ of the neutral to charged decay and the total decay rate. In addition we derive an inequality between the slope parameters of the charged and neutral decay. The experimental charged decay rate leads to central values for the isospin breaking quantities $R=42.2$ and $Q=23.2$.

35p, some misprints corrected and a wrong figure replace. Some sentences reformulated and Sect. 2 shortened

References in corpus (5)

• Towards a consistent estimate of the chiral low-energy constants
• Chiral Perturbation Theory Beyond One Loop
• Measurement of the Slope Parameter for the eta->3pi0 Decay in the pp->pp eta Reaction
• On different lagrangian formalisms for vector resonances within chiral perturbation theory
• Determining QCD Low-Energy Couplings from lattice simulations

Cited by in corpus (10)

• Rescattering effects in eta {\to} 3pi decays
• Determination of the Dalitz plot parameter alpha for the decay eta->3pi^0 with the Crystal Ball at MAMI-B
• The Kl3 scalar form factors in the standard model
• Determination of $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ Dalitz plot slopes and asymmetries with the KLOE detector
• $\eta$ and ${\eta }^{\prime }$ Physics at BES-III
• A note on the determination of light quark masses
• Status of Strong ChPT
• Relations at Order $p^6$ in Chiral Perturbation Theory
• Eta and Eta' physics
• Status of chiral perturbation theory