Axion-CMB Scenario in Supercooled Universe

TL;DR

This paper explores a cosmological model where axion fluctuations explain CMB anisotropies, utilizing a classically conformal B-L model with thermal inflation and extended scalar sectors to satisfy observational constraints.

Contribution

It introduces an extended classically conformal B-L model with multiple scalar fields to realize the axion-CMB scenario through thermal inflation and supercooling.

Findings

The model achieves sufficient axion abundance at the QCD transition.

Thermal inflation naturally occurs in the extended B-L model.

Parameter regions with N~10^{19} and B-L gauge boson mass 5-10 TeV are viable.

Abstract

Axion-CMB scenario is an interesting possibility to explain the temperature anisotropy of the cosmic microwave background (CMB) by primordial fluctuations of the QCD axion \cite{Iso:2020pzv}. In this scenario, fluctuations of radiations are generated by an energy exchange between axions and radiations, which results in the correlation between the primordial axion fluctuations and the CMB anisotropies. Consequently, the cosmological observations stringently constrain a model of the axion and the early history of the universe. In particular, we need a large energy fraction $\Omega_A^{}$ of the axion at the QCD phase transition, but it must become tiny at the present universe to suppress the isocurvature power spectrum. One of natural cosmological scenarios to realize such a situation is the thermal inflation which can sufficiently dilute the axion abundance. Thermal inflation occurs in various models. In this paper, we focus on a classically conformal (CC) $B$-$L$ model with a QCD axion. In this model, the early universe undergoes a long supercooling era of the $B$-$L$ and electroweak symmetries, and thermal inflation naturally occurs. Thus it can be a good candidate for the axion-CMB scenario. But the axion abundance at the QCD transition is shown to be insufficient in the original CC $B$-$L$ model. To overcome the situation, we extend the model by introducing $N$ scalar fields $S$ (either massive or massless) and consider a novel cosmological history such that the $O(N)$ and the $B$-$L$ sectors evolve almost separately in the early universe. We find that all the necessary conditions for the axion-CMB scenario can be satisfied in some parameter regions for massless $S$ fields, typically $N\sim 10^{19}$ and the mass of $B$-$L$ gauge boson around $5-10$ TeV.