Hints of the $H_0-r_d$ tension in uncorrelated Baryon Acoustic Oscillations dataset

Abstract: Baryon Acoustic Oscillations (BAO) datasets use very precise measurements of the spatial distribution of large-scale structures as a distance ladder to help constrain cosmological parameters. In a recent article \cite{Benisty:2020otr}, we combined 17 uncorrelated BAO measurements in the effective redshift range $0.106 \le z \le 2.36$ with the Cosmic Chronometers data, the Pantheon Type Ia supernova and the Hubble Diagram of Gamma Ray Bursts and Quasars to obtain that the $\Lambda$CDM model fit infers for the Hubble constant: $69.85 \pm 1.27km/sec/Mpc$ and for the sound horizon distance: $146.1 \pm 2.15Mpc$. Beyond the $\Lambda$CDM model we test $\Omega_k$CDM and wCDM and we get $\Omega_k = -0.076 \pm 0.012$, $w = -0.989 \pm 0.049$ accordingly. In this proceeding we present elaborate on our findings and we compare them to other recent results in the literature.