BAO signatures in the 2-point angular correlations and the Hubble tension

Abstract

An observational tension on estimates of the Hubble parameter, H, using early and late Universe information, is being of intense discussion in the literature. Additionally, it is of great importance to measure H independently of CMB data and local distance ladder method. In this sense, we analyze 15 measurements of the transversal BAO scale, θBAO, obtained in a weakly model-dependent approach, in combination with other data sets obtained in a model-independent way, namely, Big Bang Nucleosynthesis (BBN) information, 6 gravitationally lensed quasars with measured time delays by the H0LiCOW team, and measures of cosmic chronometers (CC). We find H0=74.88-2.1+1.9 km s- 1 Mpc- 1 and H0=72.06-1.3+1.2 km s- 1 Mpc- 1 from θBAO+BBN+H0LiCOW and θBAO+BBN+CC, respectively, in fully accordance with local measurements. Moreover, we estimate the sound horizon at drag epoch, rd, independent of CMB data, and find rd=144.1-5.5+5.3 Mpc (from θBAO+BBN+H0LiCOW) and rd=150.4-3.3+2.7 Mpc (from θBAO+BBN+CC). In a second round of analysis, we test how the presence of a possible spatial curvature, Ω k, can influence the main results. We compare our constraints on H and rd with other reported values. Our results show that it is possible to use a robust compilation of transversal BAO data, θBAO, jointly with other model-independent measurements, in such a way that the tension on the Hubble parameter can be alleviated.