Consistent treatment of axions in the weak chiral Lagrangian

Abstract

We present a consistent implementation of weak decays involving an axion or axion-like particle in the context of an effective chiral Lagrangian. We argue that previous treatments of such processes have used an incorrect representation of the flavor-changing quark currents in the chiral theory. As an application, we derive model-independent results for the decays $K^{-}\to {\pi }^{-}a$ and ${\pi }^{-}\to e^{-}{\bar{\nu }}_{e}a$ at leading order in the chiral expansion and for arbitrary axion couplings and mass. In particular, we find that the $K^{-}\to {\pi }^{-}a$ branching ratio is almost 40 times larger than previously estimated.

5 pages, 1 figure

References in corpus (1)

• Search for a feebly interacting particle $X$ in the decay $K^{+}\to {\pi }^{+}X$

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