# Saxion Cosmology for Thermalized Gravitino Dark Matter

## TL;DR

This paper demonstrates that in supersymmetric theories with axions, late-decaying saxion condensates can dilute thermalized gravitinos, making them viable dark matter candidates over a broad parameter space, with observable collider signatures.

## Contribution

It introduces a mechanism where saxion decay dilutes thermal gravitinos, expanding the viable parameter space for gravitino dark matter in supersymmetric models with axions.

## Key findings

- Wide parameter space for gravitino dark matter with saxion decay.
- Constraints from BBN, freeze-in, and axion production analyzed.
- Collider signatures include displaced vertices and saxion decays.

## Abstract

In all supersymmetric theories, gravitinos, with mass suppressed by the Planck scale, are an obvious candidate for dark matter; but if gravitinos ever reached thermal equilibrium, such dark matter is apparently either too abundant or too hot, and is excluded. However, in theories with an axion, a saxion condensate is generated during an early era of cosmological history and its late decay dilutes dark matter. We show that such dilution allows previously thermalized gravitinos to account for the observed dark matter over very wide ranges of gravitino mass, keV < $m_{3/2}$ < TeV, axion decay constant, $10^9$ GeV < $f_a$ < $10^{16}$ GeV, and saxion mass, 10 MeV < $m_s$ < 100 TeV. Constraints on this parameter space are studied from BBN, supersymmetry breaking, gravitino and axino production from freeze-in and saxion decay, and from axion production from both misalignment and parametric resonance mechanisms. Large allowed regions of $(m_{3/2}, f_a, m_s)$ remain, but differ for DFSZ and KSVZ theories. Superpartner production at colliders may lead to events with displaced vertices and kinks, and may contain saxions decaying to $(WW,ZZ,hh), gg, \gamma \gamma$ or a pair of Standard Model fermions. Freeze-in may lead to a sub-dominant warm component of gravitino dark matter, and saxion decay to axions may lead to dark radiation.