Bounds On Anomalous Magnetic And Electric Moments Of Tau Lepton From LEP And Lepton Flavor Violation

TL;DR

This paper refines bounds on the tau lepton's anomalous magnetic and electric moments by considering lepton flavor violation effects induced by higher dimensional operators, linking these bounds to lepton mass generation dynamics.

Contribution

It demonstrates that higher dimensional operators affecting tau's dipole moments also induce lepton flavor violation, providing tighter bounds based on LFV experimental limits.

Findings

LFV effects depend on lepton mass generation dynamics

Bounds on tau dipole moments are pushed to 10^{-11} and 10^{-25} e cm

Higher dimensional operators influence both tau properties and LFV processes

Abstract

The most stringent bounds on the anomalous magnetic and electric dipole moments of the tau lepton was derived by Escribano and Mass\'{o}[6] from the Z width at LEP in an effective lagrangian approach to the new physics. In this paper we point out that the higher dimensional operators introduced by Escribano and Mass\'{o} not only modify the neutral currents of the tau lepton to Z gauge boson and the photon, but also induce lepton flavor violation (LFV). The size of the LFV effect depends crucially on the dynamics of the lepton mass generation. Assuming the lepton mass matrices in the form of an Fritzsch ansatz, we point out that the experimental limit on $\mu \to e \gamma$ will push the anomalous magnetic and electric dipole moments of the tau lepton down to $10^{-11}$ and $10^{-25} e cm$ respectively.