# Anomalous magnetic and weak magnetic dipole moments of the $\tau$ lepton in the simplest little Higgs model

The European Physical Journal C, Apr 2017

We obtain analytical expressions, both in terms of parametric integrals and Passarino–Veltman scalar functions, for the one-loop contributions to the anomalous weak magnetic dipole moment (AWMDM) of a charged lepton in the framework of the simplest little Higgs model (SLHM). Our results are general and can be useful to compute the weak properties of a charged lepton in other extensions of the standard model (SM). As a by-product we obtain generic contributions to the anomalous magnetic dipole moment (AMDM), which agree with previous results. We then study numerically the potential contributions from this model to the $\tau$ lepton AMDM and AWMDM for values of the parameter space consistent with current experimental data. It is found that they depend mainly on the energy scale f at which the global symmetry is broken and the $t_{\beta }$ parameter, whereas there is little sensitivity to a mild change in the values of other parameters of the model. While the $\tau$ AMDM is of the order of $10^{-9}$, the real (imaginary) part of its AWMDM is of the order of $10^{-9}$ ($10^{-10}$). These values seem to be out of the reach of the expected experimental sensitivity of future experiments.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1140%2Fepjc%2Fs10052-017-4803-z.pdf

M. A. Arroyo-Ureña, G. Hernández-Tomé, G. Tavares-Velasco. Anomalous magnetic and weak magnetic dipole moments of the $\tau$ lepton in the simplest little Higgs model, The European Physical Journal C, 2017, 227, DOI: 10.1140/epjc/s10052-017-4803-z