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Description
We consider F-term hybrid inflation and supersymmetry (SUSY) breaking in the context of a model which respects a gauge and an approximate global U(1) R symmetry. The Kaehler potential for the Goldstino superfield enjoys a (SU(1,1)/U(1)) enhanced symmetry and the scalar curvature of the associated manifold is determined by the achievement of a SUSY-breaking de Sitter vacuum without ugly tuning. The magnitude of the emergent soft tadpole parameter for the inflaton can be adjusted in the range (1.2-460) TeV so that the inflationary observables are in agreement with the observational requirements. The mass scale of the SUSY partners turns out to lie in the region (0.09-253) PeV and the mu parameter can be generated by conveniently applying the Giudice-Masiero mechanism. Its magnitude assures the out-of-equilibrium decay of the R saxion at a low reheat temperature Trh<~163 GeV. In the case that the broken gauge symmetry after inflation is U(1)B-L the late decay of the formatted cosmic strings may interpret the NANOGrav results consistently with the LIGO-VIRGO-KAGRA exclusion limit.
Videoconference via https://us02web.zoom.us/j/87533689282
