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

TL;DR

This paper explores a $SU(4)_L\otimes U(1)_N$ model to explain the muon magnetic moment anomaly, deriving bounds on the symmetry breaking scale and assessing experimental constraints.

Contribution

It introduces a novel $SU(4)_L\otimes U(1)_N$ electroweak model with right-handed neutrinos and analyzes its implications for the muon g-2 anomaly.

Findings

A symmetry breaking scale of around 2 TeV could explain the anomaly.

Current experiments exclude scales below 3.5 TeV at 1σ.

Projected experiments could exclude scales below 5.5 TeV.

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.