Complete vectorlike fourth family and new U(1)$^\prime$ for muon anomalies

TL;DR

This paper proposes a model extending the Standard Model with a new U(1)' gauge symmetry and a complete vector-like fourth family to explain muon anomalies and B meson decay anomalies, predicting potential four-muon signals.

Contribution

It introduces a novel model with a complete vector-like fourth family and a new U(1)' symmetry that can simultaneously address muon anomalies and B decay anomalies.

Findings

Parameter points consistent with observed anomalies

Potential signals with four or more muons from lepton pair production

Model successfully explains muon and B decay anomalies

Abstract

I introduce a model to explain the recent anomalies in the muon anomalous magnetic moment and the rare semi-leptonic $B$ meson decays. The Standard Model is extended by a $U(1)^\prime$ gauge symmetry and a complete fourth family fermions which are vector-like under the gauge symmetry. We found parameter points which can explain the anomalies consistently with the other observables. We then propose an interesting possibility to have signals with four muons or more from vector-like lepton pair production.