Higgs inflation model with non-minimal coupling in hybrid Palatini approach

TL;DR

This paper investigates a Higgs inflation model with non-minimal coupling within a hybrid Palatini framework, deriving key inflationary parameters and showing compatibility with observational data.

Contribution

It introduces a hybrid metric Palatini approach to Higgs inflation with non-minimal coupling, deriving inflationary parameters and comparing predictions with observations.

Findings

Predicted scalar spectral index $n_s$ matches observational data.

Tensor-to-scalar ratio $r$ is consistent with recent measurements.

Higgs hybrid inflation model is viable within this framework.

Abstract

The inflation model with non-minimal coupling scalar field in the context of the hybrid metric Palatini is studied in this paper. We derive the Einstein's field equations, the equations of motion of the scalar field. Furthermore,the background and the perturbative parameters are obtained by means of Friedmann equation in the slow roll regime. The analysis of cosmological perturbations allowed us to obtain the main inflationary parameters such as the scalar spectral index $n_s$ and the tensor to scalar ratio $r$. In this perspective, as an application of our analysis, we consider the Higgs field with quartic potential which plays the inflaton role, and we show that the predictions of Higgs hybrid inflation are in good agreement with recent observational data \cite{Akrami:2018odb}.