${\pi }^0,\eta ,{\eta }^{\prime }$ two-photon transition form factors in the holographic soft-wall model and contributions to $(g-2{)}_{\mu }$

Abstract

We compute the two-photon transition form factors of the light pseudoscalar ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ 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 ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ pole terms in the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon.

Comments: 17 pages, 7 figures, published version