Electroweak-Charged Dark Matter and SO(10) Unification with Parity

TL;DR

This paper explores electroweak-charged dark matter within an $SO(10)$ unification framework that incorporates Parity to address the strong CP problem, predicts a specific mass hierarchy, and discusses implications for proton decay and gauge coupling unification.

Contribution

It introduces a natural mass hierarchy for electroweak-charged dark matter and its colored partner using $SO(10) imes CP$ symmetry breaking with a missing VEV, linking dark matter stability and unification.

Findings

Lowered unification scale due to quantum corrections.

Enhanced proton decay rate within detectable range of Hyper-Kamiokande.

Preferred top quark mass and strong coupling constant ranges from radiative Parity breaking.

Abstract

We consider electroweak-charged dark matter in an $SO(10)$ unified theory that solves the strong $CP$ problem via Parity. Electroweak-charged dark matter has a colored $SO(10)$ partner, whose mass should be much above the dark matter mass to avoid cosmological problems arising from the decay of the colored partner. The mass hierarchy can be naturally achieved by an $SO(10)\times CP$ symmetry breaking Higgs that has a missing vacuum expectation value. The mass hierarchy, via quantum corrections to the gauge coupling constants, lowers the unification scale and enhances the proton decay rate. Hyper-Kamiokande will probe the parameter space with precise gauge coupling unification. We derive the range of the top quark mass and the strong coupling constant preferred by radiative Parity breaking by the Higgs Parity mechanism.