$Z^\prime$-portal right-handed neutrino dark matter in the minimal U(1)$_X$ extended Standard Model

TL;DR

This paper explores a dark matter model where a right-handed neutrino interacts via a new Z' gauge boson in a U(1) extended Standard Model, constrained by relic abundance and collider data, setting a lower Z' mass bound.

Contribution

It introduces a minimal Z'-portal right-handed neutrino dark matter scenario within a U(1) extension of the Standard Model, analyzing phenomenological constraints and deriving bounds on Z' mass.

Findings

Lower bound on Z' mass is approximately 2.7 TeV.

The model's parameter space is constrained by relic abundance and LHC Run-2 data.

The Z'-portal RHN DM scenario is viable within specific parameter regions.

Abstract

We consider a concise dark matter (DM) scenario in the context of a non-exotic U(1) extension of the Standard Model (SM), where a new U(1)$_X$ gauge symmetry is introduced along with three generation of right-handed neutrinos (RHNs) and an SM gauge singlet Higgs field. The model is a generalization of the minimal gauged U(1)$_{B-L}$ (baryon number minus lepton number) extension of the SM, in which the extra U(1)$_X$ gauge symmetry is expressed as a linear combination of the SM U(1)$_Y$ and U(1)$_{B-L}$ gauge symmetries. We introduce a $Z_2$-parity and assign an odd-parity only for one RHN among all particles, so that this $Z_2$-odd RHN plays a role of DM. The so-called minimal seesaw mechanism is implemented in this model with only two $Z_2$-even RHNs. In this context, we investigate physics of the RHN DM, focusing on the case that this DM particle communicates with the SM particles through the U(1)$_X$ gauge boson ($Z^\prime$ boson). This "$Z^\prime$-portal RHN DM" scenario is controlled by only three free parameters: the U(1)$_X$ gauge coupling ($\alpha_X$), the $Z^\prime$ boson mass ($m_{Z^\prime}$), and the U(1)$_X$ charge of the SM Higgs doublet ($x_H$). We consider various phenomenological constraints to identify a phenomenologically viable parameter space. The most important constraints are the observed DM relic abundance and the latest LHC Run-2 results on the search for a narrow resonance with the di-lepton final state. We find that these are complementary with each other and narrow the allowed parameter region, leading to the lower mass bound of $m_{Z^\prime} \gtrsim 2.7$ TeV.