The estimated error of the standard model prediction for the anomalous
magnetic moment of the muon comes almost exclusively from hadronic
vacuum polarization and hadronic light-by-light scattering, where the
latter is dominated by exchanges of neutral pseudoscalars and axial
vector mesons. Using holographic QCD we are able to calculate these
contributions and to solve the problem of most phenomenological models
to satisfy the known short-distance constraints of the hadronic
light-by-light tensor, in particular the one implied by the axial
anomaly pointed out by Melnikov and Vainshtein.