Muon $g-2$ and dark matter in Supersymmetric $SU(4)_c \times SU(2)_L \times SU(2)_R$

TL;DR

This paper explores how a supersymmetric $SU(4)_c imes SU(2)_L imes SU(2)_R$ model can explain the muon $g-2$ anomaly and account for dark matter, providing testable predictions for experiments.

Contribution

It introduces a supersymmetric model that resolves the muon $g-2$ discrepancy and offers viable dark matter scenarios with benchmark points for experimental testing.

Findings

The model explains the muon $g-2$ discrepancy with light SUSY particles.

Multiple coannihilation scenarios reproduce the observed dark matter relic abundance.

Benchmark points are identified for future direct detection and collider experiments.

Abstract

The latest FermiLab muon $g-2$ result shows a $5\sigma$ discrepancy with a ``widely advertised" Standard Model prediction. We consider a supersymmetric $SU(4)_c \times SU(2)_L \times SU(2)_R$ model in which this discrepancy is resolved by including contributions to muon $g-2$ from a relatively light SUSY sector. A variety of realistic coannihilation scenarios can reproduce the observed dark matter relic abundance. With a significantly reduced discrepancy, of order $1 \sigma$ or less, the Higgsino-like dark matter solutions are also viable. We provide benchmark points for these solutions that will be probed in the direct detection dark matter experiments and collider searches.