In this work we study the potential of the processes $e^{+}{e}^{-}\to e^{+}{\gamma }^{*}{e}^{-}\to e^{+}\tau {\overline{\nu }}_{\tau }{\nu }_e$ and $e^{+}{e}^{-}\to e^{+}{\gamma }^{*}{\gamma }^{*}{e}^{-}\to e^{+}{\nu }_{\tau }{\overline{\nu }}_{\tau }{e}^{-}$ at a future high-energy and high-luminosity linear electron positron collider, such as the International Linear Collider and Compact Linear Collider, to study the sensibility on the anomalous magnetic and electric dipole moments of the tau neutrino. For an integrated luminosity of $590{\mathrm{fb}}^{-1}$ and center-of-mass energy of 3 TeV, we derive 95% C.L. limits on the dipole moments: ${\mu }_{{\nu }_{\tau }}\le 1.44\times 10^{-6}{\mu }_B$ and $d_{{\nu }_{\tau }}\le 2.78\times 10^{-17}ecm$ in the ${\gamma }^{*}{e}^{-}$ collision mode and of ${\mu }_{{\nu }_{\tau }}\le 3.4\times 10^{-7}{\mu }_B$ and $d_{{\nu }_{\tau }}\le 6.56\times 10^{-18}ecm$ with the ${\gamma }^{*}{\gamma }^{*}$ collision mode, improving the existing limits.

• Received 5 December 2014

DOI:https://doi.org/10.1103/PhysRevD.91.093008