We amend a recent dispersive analysis of the anomalous η\documentclass[12pt]{minimal}
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\begin{document}$$\eta $$\end{document} decay process η→π+π-γ\documentclass[12pt]{minimal}
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\begin{document}$$\eta \rightarrow \pi ^+\pi ^-\gamma $$\end{document} by the effects of the a2\documentclass[12pt]{minimal}
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\begin{document}$$a_2$$\end{document} tensor meson, the lowest-lying resonance that can contribute in the πη\documentclass[12pt]{minimal}
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\begin{document}$$\pi \eta $$\end{document} system. While the net effects on the measured decay spectrum are small, they may be more pronounced for the analogous η′\documentclass[12pt]{minimal}
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\begin{document}$$\eta '$$\end{document} decay. There are nonnegligible consequences for the η\documentclass[12pt]{minimal}
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\begin{document}$$\eta $$\end{document} transition form factor, which is an important quantity for the hadronic light-by-light scattering contribution to the muon’s anomalous magnetic moment. We predict total and differential cross sections, as well as a marked forward–backward asymmetry, for the crossed process γπ-→π-η\documentclass[12pt]{minimal}
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\begin{document}$$\gamma \pi ^-\rightarrow \pi ^-\eta $$\end{document}, which could be measured in Primakoff reactions in the future.
