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

Abstract

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.

23 pages, 11 figures, new analysis and References added

References in corpus (10)

• Big-Bang Nucleosynthesis
• Tau anomalous magnetic moment form factor at Super B/Flavor factories
• Can the 125 GeV Higgs be the Little Higgs?
• An MSSM Extension with a Mirror Fourth Generation, Neutrino Magnetic Moments and LHC Signatures
• A Call for New Physics : The Muon Anomalous Magnetic Moment and Lepton Flavor Violation
• Search for the anomalous electromagnetic moments of the tau lepton through electron-photon scattering at the CLIC
• Lepton flavor violation in the Simplest Little Higgs model
• Bounds on the Simplest Little Higgs Model Mass Spectrum Through Z Leptonic Decay
• Weak properties of the tau lepton via a spin-0 unparticle
• Status of the Fermilab (g-2) experiment

Cited by in corpus (10)

• Model-independent bounds probing on the electromagnetic dipole moments of the $\tau$-lepton at the CLIC
• The ${\mu }^{+}{\mu }^{-}$ collider to sensitivity estimates on the magnetic and electric dipole moments of the tau-lepton
• Flavor violation in chromo- and electromagnetic dipole moments induced by $Z^{\prime }$ gauge bosons and a brief revisit of the Standard Model
• Search for the electromagnetic moments of the $\tau$ lepton in photon-photon collisions at the LHeC and the FCC-he
• A new evaluation of the $HZZ$ coupling: direct bounds on anomalous contributions and $CP$ violating effects via a new asymmetry
• Research on the electromagnetic and weak dipole moments of the tau-lepton at the Bestest Little Higgs Model
• ${\tau }^{-}\to {\ell }_i^{-}{\ell }_i^{+}{\ell }_j^{-}{\bar{\nu }}_j{\nu }_{\tau }$ decays with a magnetic dipole term
• Weak dipole moments of the tau lepton in models with an extended scalar sector
• Weak dipole moments of heavy fermions with flavor violation induced by $Z^{\prime }$ gauge bosons
• Inclusive spin-momentum analysis and new physics at a polarized electron-positron collider