$U(1)_\chi$ and Seesaw Dirac Neutrinos

TL;DR

This paper explores a theoretical framework based on $SO(10)$ symmetry breaking to generate seesaw Dirac neutrinos, while also addressing dark matter, baryon asymmetry, and the strong CP problem within a unified model.

Contribution

It presents a novel model linking $U(1)_ ext{chi}$ symmetry breaking to neutrino masses, dark matter interactions, and baryogenesis, integrating multiple beyond Standard Model phenomena.

Findings

Seesaw Dirac neutrinos can be realized in this framework.

Dark matter self-interactions with a light scalar mediator are compatible.

Baryon asymmetry can be generated through $U(1)$ baryon number breaking.

Abstract

In the context of $SO(10) \to SU(5) \times U(1)_\chi$, it is shown how seesaw Dirac neutrinos may be obtained. In this framework, $U(1)$ lepton number is conserved, with which self-interaction dark matter with a light scalar dilepton mediator may be implemented. In addition, $U(1)$ baryon number may be broken to $(-1)^{3B}$, thereby generating a baryon asymmetry of the Universe. The axionic solution to the strong $CP$ problem may also be incorporated.