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We realize a phenomenological study to examine the sensitivity on themagnetic moment and electric dipole moment of the top quark through theprocesses $\gamma\gamma\rightarrow t \bar{t}$, $e \gamma \rightarrow e\gamma^{*} \gamma \rightarrow e t \bar{t}$ and $e^{-} e^{+}\rightarrow e^{-}\gamma^{*} \gamma^{*} e^{+} \rightarrow e^{-} t \bar{t}e^{+}$ at the CLIC. Wefind that with a center-of-mass energy of the CLIC-1.4$\hspace{0.8mm}TeV$,integrated luminosity of ${\cal L}=1500\hspace{0.8mm}fb^{-1}$ andCLIC-3$\hspace{1mm}TeV$, integrated luminosity of ${\calL}=2000\hspace{0.8mm}fb^{-1}$ with systematic uncertainties of $\delta_{sys}=0,5, 10\hspace{1mm}\%$ at the $95\%\hspace{1mm}C. L.$, it is possible the CLICmay put limits on the electromagnetic dipole moments of the top quark $\hata_V$ and $\hat a_A$ with a sensitivity of ${\cal O}(10^{-3}-10^{-2})$.Therefore, we show that the sensitivity with the CLIC data is much greater thanthat for the LHC data.

physical review. d/physical review. d.

Improved sensitivity on the electromagnetic dipole moments of the top  quark in $\gamma\gamma$, $\gamma\gamma^*$ and $\gamma^*\gamma^*$ collisions  at the CLIC