Cogeneration of Dark Matter and Baryons by Non-Standard-Model Sphalerons in Unified Models

TL;DR

This paper explores how sphalerons from new gauge interactions can simultaneously generate dark matter and baryon asymmetries, providing a framework for predicting dark matter mass within unified models.

Contribution

It introduces a novel mechanism linking dark matter and baryon asymmetries via non-standard sphalerons in grand unified theories.

Findings

Derived ratios of B, L, and X asymmetries from sphaleron equilibrium conditions.

Predicted dark matter particle mass based on asymmetry ratios.

Presented models embedded in $SU(6) imes SU(2)$ and SU(7) frameworks.

Abstract

Sphalerons of a new gauge interaction can convert a primordial asymmetry in B or L into a dark matter asymmetry. From the equilibrium conditions for the sphalerons of both the electroweak and the new interactions, one can compute the ratios of B, L, and X, where X is the dark matter number, thus determining the mass of the dark matter particle fairly precisely. Such a scenario can arise naturally in the context of unification with larger groups. An illustrative model embeddable in $SU(6) \times SU(2) \subset E_6$ is described as well as an equally simple model based on SU(7).