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Improved bounds on the dipole moments of the tau-neutrino at high-energy $γ^* e^-$ and $γ^* γ^*$ collisions: ILC and CLIC

In this work we study the potential of the processes $e^+e^- \to e^+γ^* e^- \to e^+τ\barν_τν_e $ and $e^+e^- \to e^+γ^* γ^* e^- \to e^+ν_τ\barν_τe^- $ at a future high-energy and high-luminosity linear electron positron collider, such as the ILC and CLIC to study the sensibility on the anomalous magnetic and electric dipole moments of the tau-neutrino. For integrated luminosity of 590\hspace{1mm}$fb^{-1}$ and center-of-mass energy of 3\hspace{1mm}$TeV$, we derive $95 \% \hspace{1mm}C. L.$ limits on the dipole moments: $μ_{ν_τ}\leq 1.44 \times 10^{-6}μ_B$ and $d_{ν_τ}\leq 2.78 \times 10^{-17}\hspace{1mm} e\hspace{0.5mm} cm$ in the $γ^* e^-$ collision mode and of $μ_{ν_τ}\leq 3.4 \times 10^{-7}μ_B$ and $d_{ν_τ}\leq 6.56 \times 10^{-18}\hspace{1mm} e\hspace{0.5mm}cm$ with the $γ^*γ^*$ collision mode, improving the existing limits.