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

Abstract

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 $\pm 0.8$. 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 $6.85\times 10^{-16}{\mathrm{GeV}}^{-4}$ and $1.43\times 10^{-15}{\mathrm{GeV}}^{-4}$, 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.

Comments: 20 pages, 8 figures. Figures 2-11 are combined as 2-7, tables 2-6 are combined as tables 2-3. Equation (16) is corrected, equations (17), (18), and one reference are added. Abstract is corrected. Version accepted for publication in EPJ C