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arXiv · 2505.24822

Wess-Zumino-Witten Interactions of Axions: Three-Flavor

Yang Bai·Ting-Kuo Chen·Jia Liu·Xiaolin Ma
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Abstract

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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Yang Bai, Ting-Kuo Chen, Jia Liu, Xiaolin Ma. 2025-05-30. Wess-Zumino-Witten Interactions of Axions: Three-Flavor. https://doi.org/10.1007/jhep02(2026)117

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