Kavli Affiliate: Jia Liu
| First 5 Authors: Yang Bai, Ting-Kuo Chen, Jia Liu, Xiaolin Ma,
| Summary:
We present a complete Lagrangian describing axion interactions with
pseudoscalar and (axial-)vector mesons within the three light-flavor quark
framework. This formulation incorporates both the standard chiral Lagrangian
and the full Wess-Zumino-Witten (WZW) term. By including instanton effects
associated with the anomalous $U(1)_A$ symmetry, we demonstrate that physical
observables remain invariant under arbitrary chiral phase rotations of the
quark fields. This comprehensive Lagrangian provides a robust and consistent
framework for exploring axion phenomenology through its interactions with
mesons and gauge bosons. As a demonstration, we compute the decay widths of
GeV-scale axions into various mesonic final states for several benchmark axion
models.
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