On inflation, cosmological constant, and SUSY breaking

We consider a broad class of inflationary models of two unconstrained chiral superfields, the stabilizer S and the inflaton Phi, which can describe inflationary models with nearly arbitrary potentials. These models include, in particular, the recently introduced theories of cosmological attractors, which provide an excellent fit to the latest Planck data. We show that by adding to the superpotential of the fields S and Phi a small term depending on a nilpotent chiral superfield P one can break SUSY and introduce a small cosmological constant without affecting main predictions of the original inflationary scenario.