Two photon transition form factors of neutral pseudoscalar mesons

Abstract

Starting from the axial vector Ward-Green-Takahashi identity, and the necessity of preserving this identity when attempting to calculate the properties describing pseudoscalar mesons, we describe a Bethe-Salpeter kernel which takes into account the non-Abelian anomaly and therefore is suitable to describe the flavor mixing states $\eta,\eta^\prime$. We then report results for the two photon transition form factors of $\eta,\eta^\prime$, and compare them with existing experimental data.