Probe of the Anomalous Quartic Couplings with Beam Polarization at the CLIC

We have investigated the anomalous quartic couplings defined by the dimension-8 operators in semileptonic decay channel of the $e^{+}{e}^{-}\to {\nu }_e{W}^{-}{W}^{+}{\bar{\nu }}_e$ process for unpolarized and polarized electron (positron) beam at the Compact Linear Collider. We give the $95\mathrm{\%}$ confidence level bounds on anomalous $\frac{f_{S0}}{{\mathrm{\Lambda }}^4}$, $\frac{f_{S1}}{{\mathrm{\Lambda }}^4}$ and $\frac{f_{T0}}{{\mathrm{\Lambda }}^4}$ couplings for various values of the integrated luminosities and center-of-mass energies. The best sensitivities obtained on anomalous $\frac{f_{S0}}{{\mathrm{\Lambda }}^4}$, $\frac{f_{S1}}{{\mathrm{\Lambda }}^4}$ and $\frac{f_{T0}}{{\mathrm{\Lambda }}^4}$ couplings through the process $e^{+}{e}^{-}\to {\nu }_e{W}^{-}{W}^{+}{\bar{\nu }}_e$ with beam polarization at $\sqrt{s}=3$ TeV and an integrated luminosity of $L_{int}=2000$ fb${}^{-1}$ are $[-4.05;3.67]\times {10}^{-12}$ GeV${}^{-4}$, $[-3.08; , 2.12]\times 10^{-12}$GeV$^{-4}$,$[-1.98; , 0.64]\times 10^{-13}$GeV$^{-4}$, which show improvement over the current bounds.