Sgoldstino-less inflation and low energy SUSY breaking
  We assess the range of validity of sgoldstino-less inflation in a scenario of
low energy supersymmetry breaking. We first analyze the consistency conditions
that an effective theory of the inflaton and goldstino superfields should
satisfy in order to be faithfully described by a sgoldstino-less model.
Enlarging the scope of previous studies, we investigate the case where the
effective field theory cut-off, and hence also the sgoldstino mass, are
inflaton-dependent. We then introduce a UV complete model where one can realize
successfully sgoldstino-less inflation and gauge mediation of supersymmetry
breaking, combining the alpha-attractor mechanism and a weakly coupled model of
spontaneous breaking of supersymmetry. In this class of models we find that,
given current limits on superpartner masses, the gravitino mass has a lower
bound of the order of the MeV, i.e. we cannot reach very low supersymmetry
breaking scales. On the plus side, we recognize that in this framework, one can
derive the complete superpartner spectrum as well as compute inflation
observables, the reheating temperature, and address the gravitino overabundance
problem. We then show that further constraints come from collider results and
inflation observables. Their non trivial interplay seems a staple feature of
phenomenological studies of supersymmetric inflationary models.
