Observational consequences of chaotic inflation with nonminimal coupling to gravity

TL;DR

This paper explores the observational implications of chaotic inflation models with nonminimal coupling to gravity, extending previous Higgs inflation studies to broader parameter ranges and supergravity frameworks, revealing surprising predictive coincidences.

Contribution

It generalizes inflationary models with nonminimal coupling to gravity, including supergravity implementations, and uncovers unexpected similarities in their observational predictions.

Findings

Models with <0 and ||v^2 o 1 match Higgs inflation predictions for large .

Extended analysis to arbitrary  and v values.

Implementation of these models within supergravity.

Abstract

Recently there was an extensive discussion of Higgs inflation in the theory with the potential \lambda(\phi^2-v^2)^2 and nonminimal coupling to gravity {\xi\over 2}\phi^2R, for \xi >> 1 and v<< 1. We extend this investigation to the theories m^2\phi^2 and \lambda(\phi^2-v^2)^2 with arbitrary values of \xi and v and describe implementation of these models in supergravity. We analyze observational consequences of these models and find a surprising coincidence of the inflationary predictions of the model \lambda(\phi^2-v^2)^2 with \xi <0 in the limit |\xi|v^2 \to 1 with the predictions of the Higgs inflation scenario for \xi >> 1.