Dark matter, leptogenesis and Z' in the B-L model

TL;DR

This paper explores the connections between dark matter, leptogenesis, and a new Z' gauge boson in the B-L model, analyzing how different mechanisms and experimental constraints shape the viable parameter space.

Contribution

It introduces a fermion dark matter candidate in the B-L model and studies its relic density, detection constraints, and baryon asymmetry implications under freeze-out and freeze-in scenarios.

Findings

Dark matter mass is approximately half of Z' mass in freeze-out scenario.

Baryon asymmetry can be achieved with dark matter mass between 654 and 664 GeV.

Direct detection experiments strongly constrain the parameter space.

Abstract

We discuss the interplay between dark matter, leptogenesis and a new gauge boson $Z^\prime$ in the $B-L$ model. A fermion dark matter $\chi$ carrying $U(1)_{B-L}$ charge is introduced to the model but not coupling with other particles. We consider the freeze-out and freeze-in mechanisms, and obtain the correct relic density respectively. We have scanned the feasible parameter space and found that the dark matter direct detection experiments imposed the most stringent constraints on the parameter space. The constraint on the parameter space places a limit on the mass of dark matter with $m_{\chi} \approx 1/2 M_{Z'}$ within a narrow region in the case of freeze-out scenario, and we can obtain the right baryon asymmetry result in the case of $m_{\chi}\subset[654$ GeV, 664 GeV]. For the freeze-in scenario, we have a much broader parameter space for $m_{\chi}$ and $M_{Z^\prime}$ but $g_{BL}$ is restricted at $10^{-5}$ level for $Q=0.1$. In both scenarios, $g_{BL}-M_{Z^\prime}$ is limited within a narrow region by the dark matter relic density, direct detection and baryon asymmetry constraints.