Electromagnetic structure of axial-vector mesons and implications for the muon $g-2$

The electromagnetic structure of axial-vector mesons is investigated via elastic and two-photon transition form factors (TFFs). To this end, we employ a framework based on the Dyson-Schwinger and Bethe-Salpeter equations within a contact interaction model. This largely algebraic approach transparently exposes the role of symmetries and their breaking, and has proven successful in describing anomaly-sensitive processes, including pseudoscalar to two-photon TFFs, γ→ 3 π, and vector-to-pseudoscalar radiative decays. Restricting our analysis to the lowest-lying states, A=\ a₁, f₁,f₁'\, we also evaluate the corresponding light-by-light contribution to the muon anomalous magnetic moment, and obtain a_μA=11.30(4.71)×10⁻¹¹, consistent with contemporary estimates.