Bounding the electromagnetic and weak dipole moments of the tau-lepton in a simplest little Higgs model

TL;DR

This paper derives bounds on the electromagnetic and weak dipole moments of the tau-lepton within a simplest little Higgs model using $e^+e^- o au^+ au^-\gamma$ data at the Z pole, aligning with experimental limits.

Contribution

It provides new constraints on tau-lepton dipole moments based on a theoretical model and experimental data, extending previous bounds.

Findings

Bounds on the characteristic energy scale f ≥ 5.4 TeV

Electromagnetic dipole moment bounds consistent with L3 and OPAL

Weak dipole moment bounds consistent with DELPHI and ALEPH

Abstract

From the total cross section for the reaction $e^+e^-\to \tau^+\tau^-\gamma$ at the $Z_1$ pole and in the framework of a simplest little Higgs model (SLHM), we get a limit on the characteristic energy scale of the model $f$, $f \geq 5.4$ $TeV$, which in turn induces bounds on the electromagnetic and weak dipole moments of the tau-lepton. Our bounds on the electromagnetic moments are consistent with the bounds obtained by the L3 and OPAL collaborations for the reaction $e^+e^-\to \tau^+\tau^-\gamma$. We also obtained bounds on the tau weak dipole moments which are consistent with the bounds obtained recently by the DELPHI and ALEPH collaborations from the reaction $e^+e^-\to \tau^+\tau^-$.