Constantinos Pallis, Qaisar Shafi
The minimal supersymmetric (or F-term) hybrid inflation is defined by a unique renormalizable superpotential, fixed by a U(1) R-symmetry, and it employs a canonical Kaehler potential. The inflationary potential takes into account both radiative and supergravity corrections, as well as an important soft supersymmetry breaking term, with a mass coefficient in the range (0.1 - 10) TeV. The latter term assists in obtaining a scalar spectral index $n_s$ close to 0.96, as strongly suggested by the PLANCK and WMAP-9yr measurements. The minimal model predicts that the tensor-to-scalar $r$ is extremely tiny, of order 10^{-12}, while the spectral index running, |dns/dlnk|~10^{-4}. If inflation is associated with the breaking of a local U(1)_{B-L} symmetry, the corresponding symmetry breaking scale M is (0.7 - 1.6)x10^{15} GeV with ns~0.96. This scenario is compatible with the bounds on M from cosmic strings, formed at the end of inflation from B-L symmetry breaking. We briefly discuss non-thermal leptogenesis which is readily implemented in this class of models.
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http://arxiv.org/abs/1304.5202
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