Abstract
Models of induced-gravity inflation are formulated within Supergravity employing as inflaton the Higgs field which leads to a spontaneous breaking of a U(1)_{B-L} symmetry at M_mathrm{GUT}=2cdot 10^{16}~{mathrm{GeV}}. 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 10^{13}~{mathrm{GeV}}. Extending the superpotential of the model with suitable terms, we show how the MSSM mu parameter can be generated. Also, non-thermal leptogenesis can be successfully realized, provided that the gravitino is heavier than about 10~{mathrm{TeV}}.
Highlights
The idea of induced gravity (IG), according to which the Planck mass mP is generated [1,2] via the vacuum expectation value ( v.e.v) that a scalar field acquires at the end of a phase transition in the early universe, has recently attracted a fair amount of attention
With the ingredients above we can extract the part of the Einstein frame (EF) action within SUGRA related to the complex scalars zα = S, ̄ – denoted by the same superfield symbol
It is worthwhile to test the applicability of the framework above in the case of IG Higgs inflation (IGHI)
Summary
The idea of induced gravity (IG), according to which the (reduced) Planck mass mP is generated [1,2] via the vacuum expectation value ( v.e.v) that a scalar field acquires at the end of a phase transition in the early universe, has recently attracted a fair amount of attention This is because it may follow an inflationary stage driven by a Starobiskytype potential [3] in Supergravity (SUGRA) [4,5,6,7,8,9,10,11,12,13] and in non-Supersymmetric (SUSY) [14,15,16,17,18,19,20,21,22] settings, which turns out to be nicely compatible with the observational data [23].
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