Abstract : 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 Kähler 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 ) ~ { } { \mbox { 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 , |dn _ { s } / d \ln k| \sim 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 ) \cdot 10 ^ { 15 } ~ { } { \mbox { GeV } } with n _ { s } \simeq 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 . PACs numbers : 98.80.Cq , 12.60.Jv Published in Phys .
Lett .
B 725 , 327 ( 2013 )