  We consider F-term hybrid inflation (FHI) and SUSY breaking in the context of
a B-L extension of MSSM which largely respects a global U(1) R symmetry. The
hidden sector Kaehler manifold enjoys an enhanced SU(1,1)/U(1) symmetry with
the scalar curvature determined by the achievement of a SUSY-breaking de Sitter
vacuum without ugly tuning. FHI turns out to be consistent with data, provided
that the magnitude of the emergent soft tadpole term is confined in the range
(1.2-100) TeV, and it is accompanied with the production of B-L cosmic strings.
If these are metastable they interpret the present observations from PTA
experiments on the stochastic background of gravitational waves with
dimensionless tension Gmu~(1-9.2)x10^-8. The mu parameter of MSSM arises by
appropriately adapting the Giudice-Masiero mechanism and facilitates the
out-of-equilibrium decay of the R saxion at a reheat temperature lower than
about 71 GeV. Due to the prolonged matter dominated era the gravitational wave
signal is suppressed at high frequencies. The SUSY mass scale turns out to lie
in the PeV region.
