Hadronic light-by-light scattering in AdS/QCD and the muon $g-2$: tensor meson contributions

Abstract

We briefly review the predictions of holographic QCD in hard-wall AdS/QCD models for the contribution of pseudoscalars and axial-vector mesons to the hadronic light-by-light amplitude and consequently to the muon anomalous magnetic moment, which allows one to satisfy the Melnikov-Vainshtein constraint in a purely hadronic model. Moreover, we discuss the role of tensor mesons in satisfying the remaining short-distance constraints, and provide details for a minimal model of tensor mesons that turns out to agree remarkably well with available data from BELLE as well as preliminary low-$Q^2$ data from BESIII. In an appendix, we also provide analytical results for the short-distance limits in hQCD and compare with the leading-order OPE result as given by the massless quark loop.