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 $\mathrm{\Lambda }\mathrm{CDM}$ and some different dark energy models. By calculating the Bayesian evidence for different dark energy models, we find out that the $\mathrm{\Lambda }\mathrm{CDM}$ still gives the best fit to the data with $H_0={70.3}_{-1.35}^{+1.36}\mathrm{Km}/\mathrm{s}/\mathrm{Mpc}$ (at $1\sigma$). This value is in $\lesssim 2\sigma$ 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 $S_8={\sigma }_8\sqrt{{\mathrm{\Omega }}_{m0}/0.3}$ from our analysis is $S_8=0.76_{-0.03}^{+0.03}$, fully consistent with direct measurement of $S_8$ by $\mathrm{KiDS}+\mathrm{VIKING}-450+\mathrm{DES}1$ survey. We hence conclude that the $\mathrm{\Lambda }\mathrm{CDM}$ model with parameter constraints obtained in this work is consistent with different early and late Universe observations within $2\sigma$. We therefore, do not find any compelling reason to go beyond concordance $\mathrm{\Lambda }\mathrm{CDM}$ model.

• Received 29 August 2019

DOI:https://doi.org/10.1103/PhysRevD.100.103501