Abstract
In this paper, we investigate the parameter space in the framework of hilltop supernatural inflation in which the inflaton field can play the role of Affleck-Dine field to produce successful baryogenesis. The suitable value of reheating temperature could coincide with the reheating temperature required to produce lightest supersymmetric particle dark matter. The baryon isocurvature perturbation is shown to be negligible. We consider $p=3$, $p=4$, and $p=6$ type III hilltop inflation and discuss how to connect the models to supersymmetric theories.
Highlights
INTRODUCTIONPlanck has given a strong support in favor of inflation [1,2,3] (see, e.g., [4] for a textbook review), the stage of quasi–de Sitter expansion of the Universe prior to the conventional hot stage
Planck has given a strong support in favor of inflation [1,2,3], the stage of quasi–de Sitter expansion of the Universe prior to the conventional hot stage
We have shown that it is possible for the inflaton field to play the role of the Affleck-Dine field to produce successful baryogenesis in the model of hilltop supernatural inflation
Summary
Planck has given a strong support in favor of inflation [1,2,3] (see, e.g., [4] for a textbook review), the stage of quasi–de Sitter expansion of the Universe prior to the conventional hot stage. In its original form, the latter leads to the blue tilted spectrum of primordial scalar perturbations-in conflict with the Planck data This motivates to promote the original scenario to the hilltop supernatural inflation, which can avoid the conflict with cosmological observations. In the context of SUSY, baryon asymmetry is most commonly generated by the Affleck-Dine (AD) mechanism [5,6] The latter typically requires the existence of flat directions in the field space, which is a natural consequence of SUSY. We develop this idea and apply it to the hilltop supernatural inflation. In this unified framework, we discuss the production of LSP, which is assumed to play the role of dark matter
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