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$a \to \pi \pi \pi$ decay at next-to-leading order in chiral perturbation theory
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abstract
We discuss the construction of the two-flavour axion-pion effective Lagrangian at the next-to-leading order (NLO) in chiral perturbation theory and present, as a phenomenological application, the calculation of the decay rate of a GeV-scale axion-like particle via the channel $a \to \pi\pi\pi$. Through the NLO calculation, we assess the range of validity of the effective field theory and show that the chiral expansion breaks down just above the kinematic threshold. Alternative non-perturbative approaches are called for in order to extend the chiral description of axion-pion interactions.
Forward citations
Cited by 2 Pith papers
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Unified study of two-meson and axion-meson production from semileptonic tau decays within resonance chiral framework
Within a resonance chiral model, hadron resonances boost predicted tau decays into pion/K plus axion by factors of 7.5 and 19.2, with branching ratios and forward-backward asymmetries also predicted.
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New axion contribution to the two-photon decays of neutral pions
Axion-pion mixing adds a new next-to-leading-order term to the pi0 to gamma gamma decay width that is negligible for standard light axions but may matter for MeV-scale heavy axions.
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