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In this work we study the axial contributions to the hadronic light-by-lightpiece of the muon anomalous magnetic moment using the framework of resonancechiral theory. As a result, we obtain $a_{\mu}^{\textrm{HLbL};A} =\left(0.8^{+3.5}_{-0.1}\right)\cdot 10^{-11}$, that might suggest a smallervalue than most recent calculations, underlining the need of future work alongthis direction. In particular, we find that our results depend critically onthe asymptotic behavior of the form factors, and as such, emphasizes therelevance of future experiments for large photon virtualities. In addition, wepresent general results regarding the involved axial form factors description,comprehensively examining (and relating) the current approaches, that shall beof general interest.

Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment