  We revisit Higgs inflation in the framework of a minimal extension of the
Standard Model gauge symmetry by a $U(1)_{B-L}$ factor. Various aspects are
taken into account with particular focus on the role of the supersymmetry
breaking (SUSY) scale and the cosmological constraints associated with the
gravitino. The scalar potential of the model is considered in the context of
no-scale supergravity consisting of the F-part constructed from the K\"ahler
function, the D-terms and soft SUSY contributions. We investigate several
limiting cases and by varying the SUSY scale from a few TeV up to intermediate
energies, for a spectral index around $n_s\sim 0.9655$ and reheating
temperature $T_r\le 10^{9}$ GeV we find that the value of the tensor-to-scalar
ratio ranges from $r\approx 10^{-3}$ to $10^{-2}$. Furthermore, it is shown
that for certain regions of the parameter space the gravitino can live
sufficiently long and as such is a potential candidate for a dark matter
component. In general, the inflationary scenario is naturally implemented and
it is consistent with non-thermal leptogenesis whereas the dominant decay
channel of the inflaton yields right-handed neutrinos. Other aspects of
cosmology and particle physics phenomenology are briefly discussed. Finally, we
investigate the case where the inflaton is initially relaxed in a false minimum
and estimate its probability to decay to the true vacuum.
