Hilltop Supernatural Inflation and Gravitino Problem

TL;DR

This paper investigates the parameter space of hilltop supernatural inflation models, identifying conditions that avoid the gravitino problem and analyzing constraints from big-bang nucleosynthesis and dark matter considerations.

Contribution

It provides a detailed analysis of the inflation model parameters that prevent gravitino overproduction, including thermal and nonthermal mechanisms, with visualized constraints.

Findings

Identifies parameter regimes avoiding gravitino overproduction.

Plots reheating temperature constraints based on gravitino mass.

Analyzes scenarios with gravitino as dark matter.

Abstract

In this paper, we explore the parameter space of hilltop supernatural inflation model and show the regime within which there is no gravitino problem even if we consider both thermal and nonthermal production mechanisms. We make plots for the allowed reheating temperature as a function of gravitino mass by constraints from big-bang nucleosynthesis. We also plot the constraint when gravitino is assumed to be stable and plays the role of dark matter.