A Bayesian Analysis of the Hubble Tension

This paper conducts a Bayesian analysis of the Hubble tension, which addresses the discrepancy between local measurements of the Hubble Constant \(H_0\) $H_0$ and the value predicted by the \(\Lambda \) $\mathrm{\Lambda }$ CDM model based on Cosmic Microwave Background data. By incorporating new, independent data from the James Webb Space Telescope released in August 2024, the analysis shows that, unlike before, there is no longer strong evidence to suggest that the \(\Lambda \) $\mathrm{\Lambda }$ CDM model is incorrect. As a result, the Hubble tension appears to ease somewhat, indicating that the previously perceived crisis in cosmology may have been overstated, and the standard model remains robust.