We obtain limits on the quartic neutral gauge bosons couplings $Z\gamma \gamma \gamma$ and $ZZ\gamma \gamma$ using LEP 2 data published by the L3 Collaboration on the reactions $e^{+}{e}^{-}\to \gamma \gamma \gamma$, $Z\gamma \gamma$. We also obtain 95% C.L. limits on these couplings at the future linear colliders’ energies. The LEP 2 data induce limits of order $10^{-5}{\mathrm{GeV}}^{-4}$ for the $Z\gamma \gamma \gamma$ couplings and of order $10^{-3}{\mathrm{GeV}}^{-2}$ for the $ZZ\gamma \gamma$ couplings, which are still above the respective standard model predictions. Future $e^{+}{e}^{-}$ linear colliders may improve these limits by one or two orders of magnitude.

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