Probing the Supersymmetry-Mass Scale With F-term Hybrid Inflation

TL;DR

This paper explores F-term hybrid inflation within a supersymmetric framework, linking the supersymmetry-breaking scale to inflationary observables and LHC results, suggesting a high-scale supersymmetry scenario compatible with current data.

Contribution

It introduces a model with a specific Kaehler potential symmetry structure that naturally achieves a de Sitter vacuum and aligns inflationary predictions with observations, while connecting supersymmetry-breaking scales to collider data.

Findings

Supersymmetric partner masses range from 0.09 to 253 PeV.

Inflationary observables match current cosmological data.

The model supports high-scale supersymmetry consistent with LHC Higgs results.

Abstract

We consider F-term hybrid inflation and supersymmetry breaking in the context of a model which largely respects a global U(1) R symmetry. The Kaehler potential parameterizes the Kaehler manifold with an enhanced U(1)x(SU(1,1)/U(1)) symmetry, where the scalar curvature of the second factor is determined by the achievement of a supersymmetry-breaking de Sitter vacuum without ugly tuning. The magnitude of the emergent soft tadpole term for the inflaton can be adjusted in the range (1.2-460) TeV -- increasing with the dimensionality of the representation of the waterfall fields -- so that the inflationary observables are in agreement with the observational requirements. The mass scale of the supersymmetric partners turns out to lie in the region (0.09-253) PeV which is compatible with high-scale supersymmetry and the results of LHC on the Higgs boson mass. The mu parameter can be generated by conveniently applying the Giudice-Masiero mechanism and assures the out-of-equilibrium decay of the R saxion at a low reheat temperature Trh<~163 GeV.