Higgs-Dilaton Cosmology: an effective field theory approach

TL;DR

This paper examines the Higgs-Dilaton cosmological model's consistency within an effective field theory framework, confirming its predictions remain stable under quantum corrections and connecting early universe inflation with current dark energy observations.

Contribution

It provides a systematic analysis of the model's effective field theory validity and the stability of its inflation-dark energy relation against quantum corrections.

Findings

Effective cut-off scale exceeds relevant energy scales from inflation to today.

Quantum corrections do not alter the n_s and  relationship under certain assumptions.

The model remains self-consistent within the effective field theory approach.

Abstract

The Higgs-Dilaton cosmological model is able to describe simultaneously an inflationary expansion in the early Universe and a dark energy dominated stage responsible for the present day acceleration. It also leads to a non-trivial relation between the spectral tilt of scalar perturbations n_s and the dark energy equation of state \omega. We study the self-consistency of this model from an effective field theory point of view. Taking into account the influence of the dynamical background fields, we determine the effective cut-off of the theory, which turns out to be parametrically larger than all the relevant energy scales from inflation to the present epoch. We finally formulate the set of assumptions needed to estimate the amplitude of the quantum corrections in a systematic way and show that the connection between n_s and \omega remains unaltered if these assumptions are satisfied.