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

Abstract 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 $$\gamma \gamma \gamma \gamma $$ γ γ γ γ and $$Z\gamma \gamma \gamma $$ Z γ γ γ quartic vertices. The study focuses on the process $$e^{-}\gamma \rightarrow e^{-}\gamma \gamma $$ e - γ → e - γ γ 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 $${\mp }80\%$$ ∓ 80 % polarized electron beam with the related integrated luminosities of $${\mathcal {L}}=5, 4, 1$$ L = 5 , 4 , 1 $${\textrm{ab}}^{-1}$$ ab - 1 under the systematic uncertainties of $$\delta _{sys}=0, 3, 5$$ δ sys = 0 , 3 , 5 . Obtained sensitivities on the anomalous quartic gauge couplings (aQGCs) for the process $$e^{-}\gamma \rightarrow e^{-}\gamma \gamma $$ e - γ → e - γ γ at $${\sqrt{s}}= 3$$ s = 3 TeV and various polarizations are improved by a factor of 2–200 times better for the couplings $$f_{T,j}/\Lambda ^{4}$$ f T , j / Λ 4 compared with the experimental results reported by CMS Collaboration in Tumasyan et al. (JHEP 10:174, 2021).