Dark energy in light of recent DESI BAO and Hubble tension

It might be necessary to access the impact of recent released Dark Energy Spectroscopic Instrument (DESI) data on the state equation of dark energy in the Hubble-tension-free cosmologies. In this paper, we report the MCMC analysis for the w_0w_aCDM model with pre-recombination early dark energy (EDE) using Planck+DESI+Pantheon+SH0ES dataset. The results reveal that H_0=72.43± 0.75, w_0=-0.971±0.035, w_a=-0.347±0.120 for axion-like EDE, while H_0=73.32± 0.64, w_0=-0.923±0.054, w_a=-0.435±0.132 for AdS-EDE, and also not surprisingly the spectral index of primordial scalar perturbation moves towards n_s=1. It looks like that in corresponding models the bestfit H_0 are higher than those with pre-DESI BAO data, but without the further exacerbation of S_8 tension.