Quintessential cosmological tensions

Several cosmological tensions have emerged in light of recent data, most notably the inferences parameters ${H}_{0}$ and ${\ensuremath{\sigma}}_{8}$. We explore possibility alleviating both these simultaneously by means Albrecht-Skordis ``quintessence'' potential. The field can reduce size sound horizon ${r}_{s}^{*}$ while concurrently suppressing power matter density fluctuations before it comes to dominate energy budget today. Interestingly, this rich set dynamics is governed entirely one free parameter that $\mathcal{O}(10)$ Planck units. find inferred value be increased, ${\ensuremath{\sigma}}_{8}$ decreased, $\ensuremath{\approx}1\ensuremath{\sigma}$ compared $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$ case. However, ultimately model disfavored BAO data alone, standard model, with a $\mathrm{\ensuremath{\Delta}}{\ensuremath{\chi}}^{2}\ensuremath{\approx}+6$. When including large scale structure supernova we $\mathrm{\ensuremath{\Delta}}{\ensuremath{\chi}}^{2}\ensuremath{\approx}+1$. note historically much attention has been focused on preserving three angular scales ${\ensuremath{\theta}}_{D}$, ${\ensuremath{\theta}}_{\mathrm{EQ}}$, ${\ensuremath{\theta}}_{s}^{*}$ their values. Our work presents an example how, doing so indeed maintains relatively good fit cosmic microwave background for increased number ultrarelativistic species, priori insufficient maintaining such more general spaces.