$π^0, η, η^\prime$ two-photon transition form factors in the holographic soft-wall model and contributions to $(g-2)_μ$

Abstract

We compute the two-photon transition form factors of the light pseudoscalar π 0 , η and η mesons in a soft-wall holographic model of QCD with a solution of the U (1) A problem. We compare the results with the experimental data in different ranges of photon virtualities. The obtained transition form factors are used to determine the π 0 , η and η pole terms in the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon.