Search for the anomalous electromagnetic moments of the tau lepton through electron-photon scattering at the CLIC

We have examined the anomalous electromagnetic moments of the tau lepton in the processes $e^{-}\gamma \to {\nu }_e\tau {\bar{\nu }}_{\tau }$ ($\gamma$ is the Compton backscattering photon) and $e^{-}e^{+} \to e^{-}\gamma^* e^{+} \to \nu_{e}\tau \bar{\nu}_\tau e^+$($\gamma^*$ is the Weizsacker-Williams photon) with unpolarized and polarized electron beams at the CLIC. We have obtained 95$\mathrm{\%}$ confidence level bounds on the anomalous magnetic and electric dipole moments for various values of the integrated luminosity and center-of-mass energy. Improved constraints of the anomalous magnetic and electric dipole moments have been obtained compared to the LEP sensitivity.