Cosmology with low-redshift observations: No signal for new physics

We analyze various low-redshift cosmological data from Type-Ia supernova, baryon acoustic oscillations, time-delay measurements using strong-lensing, H (z ) measurements using cosmic chronometers and growth measurements from large scale structure observations for Λ CDM and some different dark energy models. By calculating the Bayesian evidence for different dark energy models, we find out that the Λ CDM still gives the best fit to the data with H₀=70.3_-1.35^+1.36 Km /s /Mpc (at 1 σ ). This value is in ≲2 σ tension with various low and high redshift measurements for H₀ including SH0ES, Planck-2018 and the recent results from H0LiCOW-XIII. The derived constraint on S₈=σ₈√{Ω_{m 0}/0.3 } from our analysis is S₈=0.7 6_-0.03^+0.03, fully consistent with direct measurement of S₈ by KiDS +VIKING -450 +DES 1 survey. We hence conclude that the Λ CDM model with parameter constraints obtained in this work is consistent with different early and late Universe observations within 2 σ . We therefore, do not find any compelling reason to go beyond concordance Λ CDM model.