Investigation of Dark Matter in the 3-2-3-1 Model

TL;DR

This paper demonstrates that the 3-2-3-1 gauge model inherently contains a conserved matter parity, enabling the existence of various dark matter candidates and analyzing their properties, neutrino masses, and experimental constraints.

Contribution

It proves the presence of a matter parity in the 3-2-3-1 model and explores viable dark matter candidates, their parameter spaces, and related phenomenology.

Findings

Matter parity is always conserved in the 3-2-3-1 model.

Multiple dark matter candidates (fermion, scalar, vector) are viable.

Constraints from relic density, direct detection, neutrino masses, and collider searches are analyzed.

Abstract

We prove that the $SU(3)_C\otimes SU(2)_L \otimes SU(3)_R\otimes U(1)_X$ (3-2-3-1) gauge model always contains a matter parity $W_P=(-1)^{3(B-L)+2s}$ as conserved residual gauge symmetry, where $B-L=2(\beta T_{8R}+X)$ is a $SU(3)_R\otimes U(1)_X$ charge. Due to the non-Abelian nature of $B-L$, the $W$-odd and $W$-even fields are actually unified in gauge multiplets. We investigate two viable versions for dark matter according to $\beta=\pm1/\sqrt{3}$, where the dark matter candidates can be fermion, scalar, or vector fields. We figure out the parameter spaces in the allowed regions of the relic density and direct detection cross-sections. Additionally, we examine the neutrino masses induced by the seesaw mechanism along with associated lepton flavor violation processes. The new gauge boson searches at the LEPII and LHC are discussed.