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We investigate the potential of the Compact Linear Collider (CLIC) to probethe anomalous $W^+W^-\gamma$ coupling in $\gamma\gamma$, $\gamma\gamma^*$ and$\gamma^*\gamma^*$ collisions through the processes $\gamma\gamma\rightarrowW^+ W^-$, $e^+ \gamma \rightarrow e^+ \gamma^{*} \gamma \rightarrow e^+ W^-W^+$ and $e^+ e^-\rightarrow e^+ \gamma^{*} \gamma^{*} e^- \rightarrow e^+ W^-W^+ e^-$. We perform leptonic, semi-leptonic and hadronic decays channels for$W^+W^-$ production in the final state. Taking ${\cal L}=1\hspace{0.8mm}{\rmab^{-1}}@ \sqrt{s}=0.380\hspace{0.8mm}{\rm TeV}$, ${\calL}=2.5\hspace{0.8mm}{\rm ab^{-1}}@ \sqrt{s}=1.5\hspace{0.8mm}{\rm TeV}$ and${\cal L}=5\hspace{0.8mm}{\rm ab^{-1}}@ \sqrt{s}=3\hspace{0.8mm}{\rm TeV}$,based on future CLIC data, the limits for $\Delta\kappa_\gamma$ and$\lambda_\gamma$ might reach up to ${\cal O}(10^{-5}-10^{-4})$ level in themost ideal with 5\hspace{0.8mm}${\rm ab^{-1}}$ set data, which shows apotential advantage compared to those from LHC, Tevatron and LEP data. Thus,our results represent that the processes $\gamma\gamma\rightarrow W^+ W^-$,$e^+ \gamma \rightarrow e^+ \gamma^{*} \gamma \rightarrow e^+ W^- W^+$ and $e^+e^-\rightarrow e^+ \gamma^{*} \gamma^{*} e^- \rightarrow e^+ W^- W^+ e^-$ atthe CLIC are a very good prospect for probing the anomalous $W^+W^-\gamma$couplings.

Model-independent limits for anomalous triple gauge bosons $W^+W^-\gamma$ coupling at the CLIC