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

Using the effective Lagrangians formalism, we study the radiative process pp→(γ,Z)→ντν¯τγ+X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ pp\rightarrow (\gamma, Z) \rightarrow \nu_{\tau} \bar{\nu}_{\tau} \gamma +X$\end{document} in pp collisions at s=\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \sqrt{s}=$\end{document}8, 13, 14, 33 TeV. Furthermore, we estimate limits at the 95% C.L. on the dipole moments of the tau-neutrino using integrated luminosities 𝒧=\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{L}=$\end{document}20, 50, 100, 200, 500, 1000, 3000 fb-1 collected with the ATLAS detector at the LHC and we consider systematic uncertainties δsys=\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \delta_{sys}=$\end{document}0, 5, 10%. We found that the LHC at high energy and high luminosity should provide the following limits on the anomalous magnetic and electric dipole moments of the tau-neutrino: κ˜ντ=1.251×10-6\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \tilde{\kappa}_{\nu_\tau} = 1.251\times 10^{-6}$\end{document} and d˜ντ=2.424×10-17\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \tilde{d}_{\nu_\tau} = 2.424\times 10^{-17}$\end{document} ecm at 95% C.L. for s=33\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \sqrt{s} =33$\end{document} TeV and 𝒧=3000\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal{L}=3000$\end{document} fb-1. We conclude that the process under consideration is a good prospect for probing the dipole moments of the tau-neutrino at the LHC. Our study complements other studies on the dipole moments of the tau-neutrino at pp, e+e-\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ e^{+}e^{-}$\end{document}, γe-\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \gamma e^{-}$\end{document} and γγ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \gamma\gamma$\end{document} colliders.