\begin{document}$ZZ\gamma$\end{document} triple neutral gauge couplings are absent in the Standard Model (SM) at the tree level. They receive no contributions from dimension-6 effective operators, but can arise from effective operators of dimension-8. We study the scale of new physics associated with such dimension-8 operators that can be probed by measuring the reaction \begin{document}$\,e^+e^-\to Z\gamma$\end{document} followed by \begin{document}$\,Z\to\ell\bar\ell,\nu \bar \nu $\end{document} decays, at future \begin{document}$e^+e^-$\end{document} colliders including the CEPC, FCC-ee, ILC and CLIC. We demonstrate how angular distributions of the final-state mono-photon and leptons can play a key rôle in suppressing SM backgrounds. We further demonstrate that using electron/positron beam polarizations can significantly improve the signal sensitivities. We find that the dimension-8 new physics scale can be probed up to the multi-TeV region at such lepton colliders."> Probing the scale of new physics in the <i>ZZγ</i> coupling at <i>e</i><sup>+</sup><i>e</i><sup>−</sup> colliders -
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