Model-independent bounds probing on the electromagnetic dipole moments of the $\tau$-lepton at the CLIC

We establish model independent bounds on the anomalous magnetic and electric dipole moments of the tau-lepton using the two-photon processes $\gamma\gamma \to \tau^+\tau^-$and$\gamma\gamma \to \tau^+\tau^-\gamma$\mathrm{.}Weuse${\cal L}=10, 50, 100, 300, 500, 1000, 1500, 2000, 3000 \hspace{0.8mm}fb^{-1}$ of data collected with the future $e^{+}{e}^{-}$ linear collider such as the CLIC at $\sqrt{s}=380,1500,3000GeV$ and we consider systematic uncertainties of ${\delta }_{sys}=0,3,5\mathrm{\%}$. Precise bounds at $95\mathrm{\%}$ C. L. on the anomalous dipole moments to the tau-lepton $-0.00015\leq \tilde{a}\tau \leq 0.00017$and$|\tilde{d}\tau(ecm)|=9.040\times 10^{-19}$ are set from our study. Our results show that the processes under consideration are a very good prospect for probing the dipole moments of the tau-lepton at the future $e^{+}{e}^{-}$ linear collider at the $\gamma \gamma$ mode.