Emergent Dark Energy, neutrinos and cosmological tensions

Abstract The Phenomenologically Emergent Dark Energy model, a dark energy model with the same number of free parameters as the flat Λ CDM, has been proposed as a working example of a minimal model which can avoid the current cosmological tensions. A straightforward question is whether or not the inclusion of massive neutrinos and extra relativistic species may spoil such an appealing phenomenological alternative. We present the bounds on M ν and N eff and comment on the long standing H 0 and σ 8 tensions within this cosmological framework with a wealth of cosmological observations. Interestingly, we find, at 95% confidence level, and with the most complete set of cosmological observations, M ν ∼ 0 . 2 1 − 0 . 14 + 0 . 15 eV and N eff = 3 . 03 ± 0 . 32 i.e. an indication for a non-zero neutrino mass with a significance above 2 σ . The well known Hubble constant tension is considerably easened, with a significance always below the 2 σ level.