Effects of Lorentz violation in the Higgs sector of the Minimal Standard Model Extension

TL;DR

This paper derives bounds on Lorentz violation in the Higgs sector of the Standard Model extension by analyzing its effects on the electron's anomalous magnetic moment, providing a new constraint on CPT-odd coefficients.

Contribution

It presents the first analytical calculation linking Lorentz violation in the Higgs sector to lepton dipole moments and establishes a new upper bound on the CPT-odd coefficient from experimental data.

Findings

Bound on $|k^2_{ \, R}|$ is less than $3.29\times 10^{-29}$ GeV$^2$

Lorentz violation significantly affects the lightest lepton, especially the electron

Analytical expression for the Lorentz-violating contribution to lepton dipole moments

Abstract

A bound on the CPT-odd four vector coefficient $k^\mu_\phi$ that appears in Higgs sector of the Minimal Standard Model Extended (MSME) is presented. The analysis is based on the contributions arising from the sector in question to the anomalous dipole moment for leptons calculated at the one loop level, for which an analytical expression is obtained. The largest contribution of this Lorentz violating coefficient is on the lightest lepton, which results as a consequence of a strong non-decoupling effect. By using the experimental uncertainty of the electron anomalous dipole moment we predict that $|k^2_{ \phi\,R}|<3.29\times 10^{-29}$ GeV$^2$.