LHC reach of low scale gauge mediation with perturbatively stable vacuum

Very light gravitino scenario m3/2≲16 eV is very interesting, since there is no cosmological problem. However in such a scenario, stability of the vacuum is an important issue. Recently, Yonekura and one of the authors RS have investigated the parameter space of a low scale gauge mediation with a perturbatively stable vacuum and found that there are severe upper bounds on the gaugino masses. In this Letter, we show that such a model can be completely excluded/discovered at very early stage of the LHC run.