Higgs Inflation with linear and quadratic curvature corrections

Abstract

We consider a single scalar field inflation model with Higgs potential and curvature corrections given by non-minimal derivative coupling to gravity and coupling to the Gauss-Bonnet invariant. Exact analytical expressions, within the slow-roll approximation, are obtained for the main physical quantities. These corrections lead to successful inflation driven by the ${\varphi }^4$-potential with the main inflationary observables in the regions restricted by the latest Planck data. It is shown that these curvature corrections can make the ${\varphi }^4$ potential not only compatible with the current CMB observations, but also consistent with the Standard Model Higgs phenomenology, achieving the possibility that the Higgs boson acts as the primordial inflaton.

16 pages, 3 figures

References in corpus (5)

• The Standard Model Higgs boson as the inflaton
• A Joint Analysis of BICEP2/Keck Array and Planck Data
• Power-counting and the Validity of the Classical Approximation During Inflation
• Power spectra from an inflaton coupled to the Gauss-Bonnet term
• Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term

Cited by in corpus (4)

• Formalizing Slow-roll Inflation in Scalar-Tensor Theories of Gravitation
• Scalar fields with derivative coupling to curvature in the Palatini and the metric formulation
• Inflation with the Chern-Simons term in the Palatini formulation
• Search for dark Higgs inflaton with curvature couplings at LHC experiments