Wess-Zumino-Witten Interactions of Axions: Three-Flavor
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 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.
Keywords
Cite
@article{arxiv.2505.24822,
title = {Wess-Zumino-Witten Interactions of Axions: Three-Flavor},
author = {Yang Bai and Ting-Kuo Chen and Jia Liu and Xiaolin Ma},
journal= {arXiv preprint arXiv:2505.24822},
year = {2026}
}
Comments
25 pages, 4 figures, 1 table, typo corrected, accompanying Mathematica notebook is available on https://github.com/nun3366/Axion-WZW-3