https://doi.org/10.1140/epjc/s10052-018-5980-0
Regular Article - Theoretical Physics
Induced-gravity GUT-scale Higgs inflation in supergravity
1
School of Electrical and Computer Engineering, Faculty of Engineering, Aristotle University of Thessaloniki, 541 24, Thessaloniki, Greece
2
Department of Physics and Astronomy, Bartol Research Institute, University of Delaware, Newark, DE, 19716, USA
* e-mail: kpallis@gen.auth.gr
Received:
4
March
2018
Accepted:
7
June
2018
Published online:
26
June
2018
Models of induced-gravity inflation are formulated within Supergravity employing as inflaton the Higgs field which leads to a spontaneous breaking of a 
symmetry at 
. We use a renormalizable superpotential, fixed by a U(1) R symmetry, and Kähler potentials which exhibit a quadratic non-minimal coupling to gravity with or without an independent kinetic mixing in the inflaton sector. In both cases we find inflationary solutions of Starobinsky type whereas in the latter case, others (more marginal) which resemble those of linear inflation arise too. In all cases the inflaton mass is predicted to be of the order of 
. Extending the superpotential of the model with suitable terms, we show how the MSSM 
parameter can be generated. Also, non-thermal leptogenesis can be successfully realized, provided that the gravitino is heavier than about 
.
© The Author(s), 2018
