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

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 $\beta =\pm 1/\sqrt{3}$, 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.

arXiv comment25 pages, 7 figures; presentation including motivation and results improved, references added; version to appear in Physical Review D

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