$H_0$ tension without CMB data: beyond the $\Lambda$CDM

Abstract

We investigate the $H_0$ tension in a range of extended model frameworks beyond the standard $\Lambda$CDM without the data from cosmic microwave background (CMB). Specifically, we adopt the data from baryon acoustic oscillation, big bang nucleosynthesis and type Ia supernovae as indirect measurements of $H_0$ to study the tension. We show that the estimated value of $H_0$ from indirect measurements is overall lower than that from direct local ones regardless of the data sets and a range of extended models to be analyzed, which indicates that, although the significance of the tension varies depending on models, the $H_0$ tension persists in a broad framework beyond the standard $\Lambda$CDM model even without CMB data.