Probing composite gravity in colliders

We explore scenarios in which the graviton is not a fundamental degree of freedom at short distances but merely emerges as an effective degree of freedom at long distances. In general, the scale of such graviton “compositeness,” Λ_g, can only be probed by measuring gravitational forces at short distances, which becomes increasingly difficult and eventually impossible as the distance is reduced. Here, however, we point out that if supersymmetry is an underlying symmetry, the gravitino can be used as an alternative probe to place a limit on Λ_g in a collider environment, by demonstrating that there is a model-independent relation, Λ_g≳m_3/2. In other words, the gravitino knows that gravity is standard at least down to its Compton wavelength, so this can also be viewed as a test of general relativity possible at very short distances. If composite gravity is found first at some Λ_g, this would imply a model-independent upper bound on m_3/2.