# Search for a compressed supersymmetric spectrum with a light Gravitino

## TL;DR

This paper explores collider signatures of compressed supersymmetric spectra with a light gravitino as dark matter at the 13 TeV LHC, showing potential for early detection and proposing kinematic variables to distinguish spectra types.

## Contribution

It provides a detailed analysis of collider signals for compressed SUSY with a light gravitino, including discovery prospects and methods to differentiate compressed from uncompressed spectra.

## Key findings

- Compressed spectra up to 2.5 TeV can be probed before high luminosity LHC.
- Kinematic variables can distinguish compressed from uncompressed spectra.
- Collider signatures include photons, jets, and missing energy consistent with SUSY decay modes.

## Abstract

Presence of the light gravitino as dark matter candidate in a supersymmetric (SUSY) model opens up interesting collider signatures consisting of one or more hard photons together with multiple jets and missing transverse energy from the cascade decay. We investigate such signals at the 13 TeV LHC in presence of compressed SUSY spectra, consistent with the Higgs mass as well as collider and dark matter constraints. We analyse and compare the discovery potential in different benchmark scenarios consisting of both compressed and uncompressed SUSY spectra, considering different levels of compression and intermediate decay modes. Our conclusion is that compressed spectra upto 2.5 TeV are likely to be probed even before the high luminosity run of LHC. Kinematic variables are also suggested, which offer distinction between compressed and uncompressed spectra yielding similar event rates for photons + multi-jets + $E\!\!\!\!/_T$.