https://doi.org/10.1140/epjc/s10052-017-4803-z
Regular Article - Theoretical Physics
Anomalous magnetic and weak magnetic dipole moments of the
lepton in the simplest little Higgs model
1
Facultad de Ciencias Físico-Matemáticas, Benemérita Universidad Autónoma de Puebla, C.P. 72570, Puebla, PUE, Mexico
2
Departamento de Física, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Apartado Postal 14-740, 07000, Mexico City, Mexico
* e-mail: gtv@fcfm.buap.mx
Received:
7
January
2017
Accepted:
2
April
2017
Published online:
11
April
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 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
parameter, whereas there is little sensitivity to a mild change in the values of other parameters of the model. While the
AMDM is of the order of
, the real (imaginary) part of its AWMDM is of the order of
(
). These values seem to be out of the reach of the expected experimental sensitivity of future experiments.
© The Author(s), 2017