Muon Anomalous Magnetic Moment in a $SU(4) \otimes U(1)_N$ Model

Abstract

We study the muon anomalous magnetic moment in an electroweak model based on the gauge symmetry $SU(4)_L\otimes U(1)_N$, which has right-handed neutrinos in its spectrum, and no flavor changing neutral currents at tree level. We discuss relevant collider and electroweak constraints on the model, and derive the most stringent upper bounds on the scale of symmetry breaking based on the corrections to the muon magnetic moment. We conclude that a scale of symmetry breaking of around 2TeV might explain the muon magnetic moment anomaly. In case the anomaly is otherwise resolved, using the current and projected sensitive of g-2 experiments, we rule out scales of symmetry breaking smaller than 3.5TeV (5.5TeV) at $1\sigma$ level.