# Spin-3/2 dark matter in a simple $t$-channel model

## TL;DR

This paper investigates a spin-3/2 fermionic dark matter model interacting via t-channel mediators, revealing that vector mediators are heavily constrained by direct detection, while scalar mediators face collider bounds.

## Contribution

It introduces a simple t-channel model for spin-3/2 dark matter and analyzes constraints from direct detection and collider searches.

## Key findings

- Vector mediators are mostly ruled out by LUX direct detection data.
- Scalar mediators are less constrained by direct detection.
- Collider searches set lower bounds on dark matter mass.

## Abstract

We consider a spin-3/2 fermionic dark matter (DM) particle interacting with the Standard Model quarks through the exchange of a charged and coloured scalar or vector mediator in a simple $t$-channel model. It is found that for the vector mediator case, almost the entire parameter space allowed by the observed relic density is already ruled out by the direct detection LUX data. No such bounds exist on the interaction mediated by scalar particles. Monojet + missing energy searches at the Large Hadron Collider provide the most stringent bounds on the parameters of the model for this case. The collider bounds put a lower limit on the allowed DM masses.