Higgs inflation in minimal supersymmetric SU(5) GUT

TL;DR

This paper demonstrates that Higgs-driven inflation can be naturally realized within the minimal supersymmetric SU(5) GUT framework, aligning with observational data and ensuring a stable vacuum after inflation.

Contribution

It shows that Higgs inflation is naturally compatible with minimal supersymmetric SU(5) GUTs using a suitable Kähler potential, providing a unified theoretical model.

Findings

Inflation driven by the Standard Model Higgs is compatible with supersymmetric GUTs.

The model's cosmological predictions align with WMAP 7-year data.

The inflaton trajectory stabilizes to the Standard Model vacuum post-inflation.

Abstract

The Standard Model Higgs boson with large nonminimal coupling to the gravitational curvature can drive cosmological inflation. We study this type of inflationary scenario in the context of supersymmetric grand unification and point out that it is naturally implemented in the {\em minimal} supersymmetric SU(5) model, and hence virtually in any GUT models. It is shown that with an appropriate K\"{a}hler potential the inflaton trajectory settles down to the Standard Model vacuum at the end of the slow roll. The predicted cosmological parameters are also consistent with the 7-year WMAP data.