Non-Abelian Gauge Lepton Symmetry as the Gateway to Dark Matter

TL;DR

This paper proposes a model where lepton number arises from a spontaneously broken non-Abelian gauge symmetry, introducing new fermions and gauge bosons that connect to dark matter and may explain the muon magnetic moment anomaly.

Contribution

It introduces a novel non-Abelian gauge symmetry framework for lepton number, linking dark matter and muon g-2 within a unified model.

Findings

New fermions form part of the dark sector.

The model predicts a contribution to muon anomalous magnetic moment.

Potential experimental signatures of the gauge boson.

Abstract

Following a previous proposal, lepton number is considered as the result of a spontaneously broken non-Abelian gauge $SU(2)_N$ symmetry. New fermions are added to support this new symmetry, the spontaneous breaking of which allows these new fermions to be part of the dark sector, together with the vector gauge boson which communicates between them and the usual leptons. A byproduct is a potential significant contribution to the muon anomalous magnetic moment.