Saving CNB assisted EDE model at the expense of quantum corrections?

TL;DR

This paper examines whether a CNB-assisted EDE model can be preserved by adjusting parameters to suppress quantum corrections, but finds that this approach is not feasible due to inherent limitations.

Contribution

It analyzes the possibility of maintaining a CNB-assisted EDE model at the expense of quantum corrections and concludes the approach is not viable.

Findings

Two-loop contributions cannot be sufficiently suppressed.

Adjusting parameters does not yield the correct EDE density.

Quantum corrections pose fundamental challenges to the model.

Abstract

As it is suggested in \cite{Sakstein:2019fmf, CarrilloGonzalez:2020oac}, one can dynamically introduce the coincidence time-scale for EDE in the framework of a particular mass-varying-neutrino-model as a time at which neutrinos constituting the cosmic neutrino background enter the non-relativistic regime. The model does not predict, however, the right amount of EDE density because of smallness of neutrino masses. One may hope to adjust the parameters in such a way as to ensure that the two-loop contributions are kept small while at the same time the effective mass for scalar field that enters the expression of zero-point-energy (for the field trapped in the minimum of effective potential) is sufficient for explaining the needed amount of EDE. Unfortunately, the answer is not in the affirmative.