Are $H_0$ and $\sigma_8$ tensions generic to present cosmological data?

Understand

Yes, for a wide range of cosmological models ($\Lambda$CDM, non-interacting $w_z$CDM or models with possible interactions between dark energy and dark matter, in either phantom or non-phantom regimes).

• In the recent past there have been many attempts to solve the tension between direct measurements of $H_0$ and $\sigma_8 \sqrt{\Omega_{0 {\rm m}}}$ from the respective low redshift observables and indirect measurements of these quantities from the cosmic microwave background (CMB).
• In this work we reconstruct a model independent approach that boils down to different classes of cosmological models under suitable parameters choices.
• We test this parameterization against the latest Planck CMB data combined with recent BAO, SNeIa datasets and the R16 direct $H_0$ measurements, and compare among different cosmological models.