Eluding the Gravitino Overproduction in Inflaton Decay

TL;DR

This paper proposes a scenario where lighter supersymmetry breaking fields and higher dynamical scales relax gravitino overproduction constraints, making many inflation models compatible with high-scale supersymmetry and explaining the Higgs mass.

Contribution

It introduces a new parameter space where gravitino overproduction constraints are alleviated, enabling compatibility with high-scale supersymmetry models.

Findings

Constraints on gravitino production are significantly relaxed.

Many inflation models become consistent with high-scale supersymmetry.

The scenario naturally explains the observed Higgs boson mass.

Abstract

It is known that gravitinos are non-thermally produced in inflaton decay processes, which excludes many inflation models for a wide range of the gravitino mass. We find that the constraints from the gravitino overproduction can be greatly relaxed if the supersymmetry breaking field is much lighter than the inflaton, and if the dynamical scale of the supersymmetry breaking is higher than the inflaton mass. In particular, we show that many inflation models then become consistent with the pure gravity mediation with O(100)TeV gravitino which naturally explains the recently observed Higgs boson mass of about 125GeV.