We have investigated the electromagnetic moments of the tau lepton in e(+)e(-) -> e(+)gamma*gamma*e(-) -> e(+)tau(tau) over bare(-) process at the CLIC. We have obtained 95% confidence level bounds on the anomalous magnetic and electric dipole moments for various values of the integrated luminosity and the center of mass energy. We have shown that the e(+)e(-) -> e+gamma*gamma*e(-) -> e(+)tau(tau) over bare(-) process at the CLIC leads to a remarkable improvement in the existing experimental bounds on the anomalous magnetic and electric dipole moments.
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