Search for anomalous quartic $WWZ\gamma$ couplings at the future linear $e^{+}{e}^{-}$ collider

In this paper, the potentials of two different processes $e^{+}{e}^{-}\to W^{-}{W}^{+}\gamma$ and $e^{+}e^{-} \rightarrow e^{+}\gamma^{*} e^{-} \rightarrow e^{+} W^{-} Z \nu_{e}$ at the Compact Linear Collider (CLIC) are examined to probe the anomalous quartic $WWZ\gamma$ gauge couplings. For $\sqrt{s}=0.5,1.5$ and 3 TeV energies at the CLIC, $95\mathrm{\%}$ confidence level limits on the anomalous coupling parameters defining the dimension-six operators are found via the effective Lagrangian approach in a model independent way. The best limits on the anomalous couplings $\frac{k_0^W}{{\mathrm{\Lambda }}^2}$, $\frac{k_c^W}{{\mathrm{\Lambda }}^2}$, $\frac{k_2^m}{{\mathrm{\Lambda }}^2}$ and $\frac{a_n}{{\mathrm{\Lambda }}^2}$ which can be achieved with the integrated luminosity of $L_{int}=590$ fb${}^{-1}$ at the CLIC with $\sqrt{s}=3$ TeV are $[-8.80;8.73]\times {10}^{-8}$ GeV${}^{-2}$, $[-1.53; , 1.51]\times 10^{-7}$GeV$^{-2}$,$[-3.75; , 3.74]\times 10^{-7}$GeV$^{-2}$and$[-9.13;,9.09]\times 10^{-7}$GeV$^{-2}$, respectively.