Higgs-dilaton model revisited: can dilaton act as QCD axion?

TL;DR

This paper investigates whether the dilaton, arising from spontaneous scale symmetry breaking in the Standard Model, can serve as a QCD axion and dark matter candidate, integrating inflation and phenomenology.

Contribution

It proposes a novel scenario where the dilaton acts as a QCD axion, providing a unified framework for solving the strong CP problem and dark matter within Higgs-driven inflation.

Findings

Dilaton can acquire a mass through non-perturbative QCD effects.

The model produces axion-like dilaton dark matter compatible with CMB data.

The scenario links scale symmetry, inflation, and dark matter in a consistent framework.

Abstract

The Standard Model Lagrangian has an approximate scale symmetry in the high-energy limit. This observation can be included in the fundamental principle of the ultimate theory of Nature as the requirement of the exact quantum scale invariance. In this setup, all low-energy particle phenomenology can be obtained as a result of the spontaneous breaking of scale symmetry leading to the presence of the extra massless scalar field -- the dilaton. We explore the scenario in which this field is capable of solving the strong CP-problem in QCD in a similar way as in QCD axion models. The dilaton, playing the role of the axion, is coupled to the QCD sector and acquires a mass term due to non-perturbative breaking of scale symmetry. We show that the dilaton can form dark matter after the low-scale inflation. As a proof of concept, we construct a model of Higgs-driven inflation consistently realising the axion-like dilaton dark matter production compatible with the CMB data.