Constraints on $\tau$ electromagnetic moments via tau pair production at the Muon colliders

TL;DR

This paper investigates the potential of future muon colliders to set stringent limits on the tau lepton's anomalous magnetic and electric dipole moments through tau pair production processes.

Contribution

It provides new projected limits on tau electromagnetic moments at muon colliders with high energy and luminosity, improving upon current experimental bounds.

Findings

Most stringent limits at 10 TeV, 10 ab$^{-1}$: $-2.63\times10^{-4}< \tilde{a}_\tau <2.65\times10^{-4}$

Electric dipole moment limit: $|\tilde{d}_\tau| \leq 1.47\times10^{-18} e\,cm$

Muon colliders significantly enhance sensitivity to tau electromagnetic properties.

Abstract

The anomalous magnetic ($\tilde{a}_\tau$) and electric dipole ($\tilde{d}_\tau$) moment of tau lepton described in $\tau\bar{\tau}\gamma$ vertices are studied via $\mu^{+}\mu^{-} \rightarrow \tau^+\bar{\tau}^-$ process at the Muon colliders designed with the proposed center-of-mass-energy / integrated luminosity configurations of 3 TeV/ 1 ab$^{-1}$ and 10 TeV/ 10 ab$^{-1}$.We obtained the $95\%$ confidence level limits on the $\tilde{a}_\tau$ and $\tilde{d}_\tau$ parameters without and with systematic uncertainty of $10\%$ and compared with the experimental results.The most stringent limits on the anomalous couplings without systematic uncertainty are $-2.63\times10^{-4}< \tilde{a}_\tau <2. 65\times10^{-4}$ and $\mid \tilde{d}_\tau \mid \leq 1.47\times10^{-18} e cm$ at $\sqrt s =10$ TeV and $L_{int}$=10 ab$^{-1}$ option of the Muon collider. Our results show that the Muon colliders lead to a remarkable improvement on the current experimental limits of the anomalous magnetic and electric dipole moments of the tau lepton.