Muon anomalous magnetic moment and Higgs potential stability in the 331 model from SU(6)

Tianjun Li,Junle Pei,Wenxing Zhang

doi:10.1140/epjc/s10052-021-09474-1

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.

Highlights

To account for the muon anomalous moment in this 331 model, we introduce another two scalar triplets, T and Td, which are in the same representation with T (Td ) but have no vacuum expectation values (VEVs)
We derive a set of sufficient conditions to ensure the boundedness from below of the potential in the 331 model proposed in [3] which has three scalar triplets
Since the quartic couplings V (4) are more complex than those in [54], inequalities have to be used during the derivations which makes that the conditions obtained are sufficient but not necessary to ensure the BFB of the potential

Summary

Introduction

There is no doubt that the SM is consistent with most of the experimental data so far, the muon anomalous magnetic moment, aμ. Combining with the previous results by the Brookhaven National Lab (BNL), the measured value deviates from the theoretical prediction of SM around 4.2σ and the discrepancy is given by [22]. A 2.4σ discrepancy between the experimental and theoretical values of the electron anomalous magnetic moment, ae ge −2 2. In order to explain these deviations, models beyond-the-SM (BSM) are proposed [21,25–41]. In the rest of the paper, we will first review this 331 model briefly in Sect. 4 and 5, the anomalous magnetic moments of muon and electron are explained, respectively.

The model

Boundedness from below

Findings

Conclusion