In this paper the production cross-section
pp\rightarrow (\gamma, Z) \to \nu_\tau \bar \nu_\tau \gamma+Xpp→(γ,Z)→ντν‾τγ+X
in pppp
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 \tauτ-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\%δsys=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 \tauτ-neutrino
at the LHC.