Prospects of measurements on the anomalous magnetic and electric dipole moments of the $\tau$-neutrino in $pp$ collisions at the LHC

In this paper the production cross-section pp\rightarrow (\gamma, Z) \to \nu_\tau \bar \nu_\tau \gamma+X p p → ( γ , Z ) → ν τ ν ‾ τ γ + X in pp p p collisions at \sqrt{s}=13, 14, 33\hspace{0.8mm}TeV is presented. Furthermore, we estimate bounds at the 95\% 95 % C.L. on the dipole moments of the \tau τ -neutrino using integrated luminosity of {\cal L}= 100, 500, 1000, 3000 \hspace{0.8mm}fb^{-1} collected with the ATLAS detector at the LHC and we consider systematic uncertainties of \delta_{sys} = 0\%, \, 5\%, \,10\% δ s y s = 0 % , 5 % , 10 % . We found that the current and future LHC bounds are weaker than other experiments reported in previous investigations. However, it is shown that the estimated process is a good prospect for probing the dipole moments of the \tau τ -neutrino at the LHC.