Sensitivities on the anomalous quartic $\gamma \gamma \gamma \gamma $ and $\gamma \gamma \gamma Z$ couplings at the CLIC

It is essential to directly investigate the self-couplings of gauge bosons in the Standard Model (SM) due to its non-Abelian nature, as these couplings play a significant role in comprehending the gauge structure of the model. The discrepancies between the Standard Model's expectations and the measured value of gauge boson self-couplings serve as strong evidence for new physics phenomena extending beyond the Standard Model. Such deviations provide valuable insights into the nature of new physics and potentially lead to a deeper understanding of fundamental particles and their interactions. This study examines the sensitivities of anomalous couplings associated with dimension-8 operators that affect the $\gamma \gamma \gamma \gamma $ and $Z\gamma \gamma \gamma $ quartic vertices. The study focuses on the process ${e}^{-}\gamma \to {e}^{-}\gamma \gamma $ with the incoming photon under Weizsäcker-Williams approximation at the stage-3 scenario of Compact Linear Collider (CLIC) that refers to a CoM energy of 3 TeV. Due to the CLIC options, we take into account both unpolarized and $\mp 80%$ polarized electron beam with the related integrated luminosities of $L=5,4,1$ ${\text{ab}}^{-1}$ under the systematic uncertainties of ${\delta }_{\mathrm{sys}}=0,3,5$ . Obtained sensitivities on the anomalous quartic gauge couplings (aQGCs) for the process ${e}^{-}\gamma \to {e}^{-}\gamma \gamma $ at $\sqrt{s}=3$ TeV and various polarizations are improved by a factor of 2–200 times better for the couplings ${f}_{T,j}/{\Lambda }^{4}$ compared with the experimental results reported by CMS Collaboration in Tumasyan et al. (JHEP 10:174, 2021).