The Scale of Supersymmetry Breaking and the Swampland

We argue for a relation between the measured value of the dark energy density Λ and the supersymmetry breaking scale. We derive it by combining two quantum gravity consistency swampland constraints, which tie the dark energy density and the gravitino mass, respectively, to the mass scale of a light Kaluza-Klein tower and, therefore, to the UV cut-off of the effective theory. We find that a natural scale for supersymmetry signatures is M=O(Λ^1/8)=O(TeV). This mass scale is within reach of LHC and of the next generation of hadron colliders. Finally, we discuss possible string theory and effective supergravity realizations of this scenario.