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.Using the effective Lagrangians formalism, we study the radiative process $ pp\rightarrow (\gamma, Z) \rightarrow \nu_{\tau} \bar{\nu}_{\tau} \gamma +X$pp→(γ,Z)→ντν¯τγ+X in pp collisions at $ \sqrt{s}=$s=8, 13, 14, 33 TeV. Furthermore, we estimate limits at the 95% C.L. on the dipole moments of the tau-neutrino using integrated luminosities $ \mathcal{L}=$=20, 50, 100, 200, 500, 1000, 3000 fb-1 collected with the ATLAS detector at the LHC and we consider systematic uncertainties $ \delta_{sys}=$δsys=0, 5, 10%. We found that the LHC at high energy and high luminosity should provide the following limits on the anomalous magnetic and electric dipole moments of the tau-neutrino: $ \tilde{\kappa}_{\nu_\tau} = 1.251\times 10^{-6}$κ˜ντ=1.251×10-6 and $ \tilde{d}_{\nu_\tau} = 2.424\times 10^{-17}$d˜ντ=2.424×10-17 ecm at 95% C.L. for $ \sqrt{s} =33$s=33 TeV and $\mathcal{L}=3000$=3000 fb-1. We conclude that the process under consideration is a good prospect for probing the dipole moments of the tau-neutrino at the LHC. Our study complements other studies on the dipole moments of the tau-neutrino at pp, $ e^{+}e^{-}$e+e-, $ \gamma e^{-}$γe- and $ \gamma\gamma$γγ colliders.

Studies on the anomalous magnetic and electric dipole moments of the tau-neutrino in pp collisions at the LHC