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

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.

15 pages

References in corpus (2)

• Explaining $(g-2{)}_{\mu ,e}$, the KOTO anomaly and the MiniBooNE excess in an extended Higgs model with sterile neutrinos
• 331 Models and Grand Unification: From Minimal SU(5) to Minimal SU(6)

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• Light higgsino scenario confronted with muon g-2
• Flipped SU(6) Unification of the $SU(3{)}_c\times SU(3{)}_L\times U(1{)}_X$ Model