Physics implication from a $Z_3$ symmetry of matter

TL;DR

This paper explores a $Z_3$ symmetry of matter that, when broken by one unit of $B-L$ charge, can explain neutrino masses, dark matter stability, and anomalies in muon magnetic moment and W mass, offering a new perspective on physics beyond the Standard Model.

Contribution

It introduces a novel $Z_3$ symmetry framework for addressing multiple fundamental issues without supersymmetry, linking residual symmetry to observable phenomena.

Findings

Neutrino masses generated via inverse seesaw mechanism.

Dark matter candidate stabilized by $Z_3$ symmetry.

Addressed muon g-2 and W mass anomalies through dark field effects.

Abstract

I show that breaking $B-L$ by one unit of this charge is suitable for neutrino mass generation through an inverse seesaw mechanism, stabilizing a dark matter candidate without supersymmetry, as well as solving the muon anomalous magnetic moment and the $W$ mass deviation via dark field contributions. The new physics is governed by the residual $Z_3$ symmetry of $B-L$ isomorphic to the center of the color group, instead of the well-studied matter parity.