The ${\mu }^{+}{\mu }^{-}$ collider to sensitivity estimates on the magnetic and electric dipole moments of the tau-lepton

Abstract

Using the effective Lagrangian formalism, the anomalous magnetic and electric dipole moments of the tau-lepton in the ${\mu }^{+}{\mu }^{-}\to {\mu }^{+}{\gamma }^{\ast }{\gamma }^{\ast }{\mu }^{-}\to {\mu }^{+}\tau \bar{\tau }{\mu }^{-}$ process at the future muon colliders at the $\sqrt{s}=1.5,3$ and $6$ TeV are investigated. In addition, the bounds at the $95\%$ confidence level on the dipole moments of the tau-lepton using different integrated luminosities are estimated. It is shown that the ${\mu }^{+}{\mu }^{-}\to {\mu }^{+}{\gamma }^{\ast }{\gamma }^{\ast }{\mu }^{-}\to {\mu }^{+}\tau \bar{\tau }{\mu }^{-}$ process leads to a remarkable improvement in the existing experimental bounds on the anomalous magnetic and electric dipole moments of the tau-lepton.

26 Pages, 19 Figures, 3 Tables