  If supersymmetry is broken at TeV scale, particles from sector responsible
for supersymmetry breaking - goldstino and sgoldstinos - can reveal themselves
already at the LHC experiments. We discuss bounds on supersymmetry breaking
scale from the LHC searches for events with a jet plus missing momentum
signature focusing on the case of TeV scale sgoldstinos. We show that
contribution of light sgoldstinos to the cross section of of gravitino pair
production with a jet can be sizable and the bounds on the gravitino mass can
be stronger by up to a factor of 2 as compared to those obtained in the heavy
sgoldstino limit. We compare these bounds on parameters of the model to those
obtained with the results of ATLAS and CMS searches for dijet resonances.
