Probing anomalous quartic $\gamma \gamma \gamma \gamma $ couplings in light-by-light collisions at the CLIC

The anomalous quartic neutral couplings of the $\gamma \gamma \gamma \gamma $ vertex in a polarized light-by-light scattering of the Compton backscattered photons at the CLIC are examined. Both differential and total cross sections are calculated for ${e}^{+}{e}^{-}$ collision energies 1500 GeV and 3000 GeV. The helicity of the initial electron beams is taken to be $±\phantom{\rule{0.166667em}{0ex}}0.8$ . The unpolarized and SM cross sections for the same values of helicities are also estimated. The 95% C.L. exclusion limits on two anomalous photon couplings ${\zeta }_{1}$ and ${\zeta }_{2}$ are calculated. The best bounds on these couplings are found to be $6.85×{10}^{-16}\phantom{\rule{0.333333em}{0ex}}{\text{GeV}}^{-4}$ and $1.43×{10}^{-15}\phantom{\rule{0.333333em}{0ex}}{\text{GeV}}^{-4}$ , respectively. The results are compared with the exclusion bounds obtained previously for the LHC and HL-LHC. It is shown that the light-by-light scattering at the CLIC, especially the polarized, has a greater potential to search for the anomalous quartic neutral couplings of the $\gamma \gamma \gamma \gamma $ vertex.