Muon Anomalous Magnetic Moment and Higgs Potential Stability in the 331 Model from $SU(6)$

TL;DR

This paper explores a 331 model derived from an $SU(6)$ GUT to explain muon and electron magnetic moments and analyzes the Higgs potential stability with specific conditions ensuring the potential's boundedness.

Contribution

It introduces two new scalar triplets without VEVs to account for magnetic moments and provides stability conditions for the Higgs potential in the 331 model.

Findings

New scalar triplets enhance magnetic moment explanations.

Derived sufficient conditions for Higgs potential stability.

Model successfully addresses magnetic moments without VEVs.

Abstract

We consider a $SU(3)_c \times SU(3)_L \times U(1)_X$ model from a $SU(6)$ Grand Unified Theory (GUT). In order to explain the anomalous magnetic moments of muon and electron, we introduce two new scalar triplets without vacuum expectation values (VEVs) so that the leading contributions to $\Delta a_{\mu}$ and $\Delta a_{e}$ can avoid the suppression from small muon mass. In addition, the Higgs potential stability of this 331 model is studied by giving a set of sufficient conditions to ensure the boundedness from below of the potential.