Higgs Inflation in Horava-Lifshitz Gravity

TL;DR

This paper explores the potential of the Standard Model Higgs boson to serve as the inflaton within Horava-Lifshitz Gravity, successfully producing inflation and a scale-invariant spectrum without additional couplings.

Contribution

It demonstrates a viable Higgs inflation model in Horava-Lifshitz Gravity that avoids common inconsistencies and does not require extra non-minimal or higher derivative couplings.

Findings

Higgs field can produce sufficient inflation

The model generates a scale-invariant power spectrum

No need for non-minimal or higher derivative couplings

Abstract

We study the possibility of standard model Higgs boson acting as an inflaton field in the framework of Horava-Lifshitz Gravity. Under this framework, we showed that it is possible for the Higgs field to produce right amount of inflation and generate scale invariant power spectrum with the correct experimental value. Thanks to the foliation preserving diffeomorphism and anisotropic space-time scaling, it essentially helps us to construct this model without the pre-existing inconsistency coming from cosmological and particle physics constraints. We do not need to introduce any non-minimal or higher derivative coupling term in an arbitrary basis either.