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 ΛCDM and some different dark energy models. By calculating the Bayesian evidence for different dark energy models, we find out that the ΛCDM still gives the best fit to the data with H₀=70.3_-1.35+1.36 Km/s/Mpc (at 1σ). This value is in 2σ 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√Ωₘ₀/0.3 from our analysis is S₈=0.76_-0.03+0.03, fully consistent with direct measurement of S₈ by KiDS+VIKING-450+DES1 survey. We hence conclude that the ΛCDM model with parameter constraints obtained in this work is consistent with different early and late Universe observations within 2σ. We therefore, do not find any compelling reason to go beyond concordance ΛCDM model.