Cosmology With Low-Redshift Observations: No Signal For New Physics
We analyse 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 $H_{0}=70.3^{+1.36}_{-1.35}$ Km/s/Mpc (at $1σ$). This value is in $2σ$ or less tension with various low and high redshift measurements for $H_{0}$ including SH0ES, Planck-2018 and the recent results from H0LiCOW-XIII. The derived constraint on $S_{8}=σ_{8}\sqrt{Ω_{m0}/{0.3}}$ from our analysis is $S_{8} = 0.76^{+0.03}_{-0.03}$, fully consistent with direct measurement of $S_{8}$ by KiDS+VIKING-450+DES1 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 $2σ$. We therefore, do not find any compelling reason to go beyond concordance $Λ$CDM model.