Minimal Spin-3/2 Dark Matter in a simple $s$-channel model

TL;DR

This paper investigates a spin-3/2 fermionic dark matter model interacting via a vector mediator, revealing that direct detection constraints exclude most parameter space for vector couplings, while collider searches constrain axial-vector couplings.

Contribution

It introduces a minimal spin-3/2 dark matter model with vector mediator interactions and analyzes constraints from relic density, direct detection, and collider experiments.

Findings

Vector couplings are largely excluded by direct detection.

Axial-vector couplings are constrained by LHC mono-jet searches.

Most parameter space is incompatible with observations.

Abstract

We consider a spin~-~3/2 fermionic dark matter candidate (DM) interacting with Standard Model fermions through a vector mediator in the $s$-channel. We find that for pure vector couplings almost the entire parameter space of the DM and mediator mass consistent with the observed relic density is ruled out by the direct detection observations through DM-nucleon elastic scattering cross-sections. In contrast, for pure axial-vector coupling, the most stringent constraints are obtained from mono-jet searches at the Large Hadron Collider.