# A Minimal Model of Gravitino Dark Matter

## TL;DR

This paper explores a minimal supersymmetric model where gravitinos, produced via thermal scattering, could account for dark matter, potentially resolving the gravitino problem and allowing high reheating temperatures compatible with leptogenesis.

## Contribution

It proposes a simplified model with only Standard Model particles and gravitinos, analyzing their production and cosmological constraints to identify viable parameter space.

## Key findings

- Gravitino can be the main dark matter component through thermal freeze-in.
- High reheating temperatures are compatible with leptogenesis in this scenario.
- The model alleviates the gravitino problem by constraining production mechanisms.

## Abstract

Motivated by the absence of signals of new physics in both searches for new particles at LHC and for a Weakly Interacting Massive Particle (WIMP) dark matter candidate, we consider a scenario where supersymmetry is broken at a scale above the reheating temperature. The low energy particle content consists then only in Standard Model states and a gravitino. We investigate the possibility that the latter provides the main component of dark matter through a freeze in mechanism from annihilation of thermalized Standard Model particles. We focus on the case where its production through scattering in the thermal plasma is well approximated by the non-linear supersymmetric effective Lagrangian of the associated goldstino and identify the parameter space allowed by the cosmological constraints, allowing the possibility of large reheating temperature compatible with leptogenesis scenarios, alleviating the so called "gravitino problem".