Model-independent sensibility studies for the anomalous dipole moments of the $\nu_\tau$ at the CLIC based $\gamma e^-$ colliders

TL;DR

This study evaluates the potential of future CLIC gamma-electron colliders to measure the tau neutrino's anomalous dipole moments through a specific process, providing sensitivity estimates under various collider configurations.

Contribution

It offers the first comprehensive sensitivity analysis of the tau neutrino's dipole moments at the CLIC gamma-electron mode, considering systematic uncertainties and different beam polarizations.

Findings

Sensitivity to dipole moments improves with higher energy and luminosity.

Polarized electron beams enhance measurement precision.

Feasibility of measuring tau neutrino dipole moments at CLIC is demonstrated.

Abstract

To improve the theoretical prediction of the anomalous dipole moments of the $\tau$-neutrino, we have carried out a study through the process $\gamma e^- \to \tau \bar\nu_\tau \nu_e$, which represents an excellent and useful option in determination of these anomalous parameters. To study the potential of the process $\gamma e^- \to \tau \bar\nu_\tau \nu_e$, we apply a future high-energy and high-luminosity linear electron-positron collider, such as the CLIC, with $\sqrt{s}=380, 1500, 3000\hspace{0.8mm}GeV$ and ${\cal L}=10, 50, 100, 200, 500, 1000, 1500, 2000, 3000\hspace{0.8mm}fb^{-1}$, and we consider systematic uncertainties of $\delta_{sys}=0, 5, 10\%$. With these elements, we present a comprehensive and detailed sensitivity study on the total cross-section of the process $\gamma e^- \to \tau \bar\nu_\tau \nu_e$, as well as on the dipole moments $\mu_{\nu_\tau}$ and $d_{\nu_\tau}$ at the $95\%$ C.L., showing the feasibility of such process at the CLIC at the $\gamma e^-$ mode with unpolarized and polarized electron beams.