The H0 Olympics: a fair ranking of proposed Hubble-tension-solving models

Abstract: The Planck satellite data and some complementary observations of the Large Scale Structure of the Universe have brought a beautiful confirmation of the minimal standard cosmological model, LambdaCDM. However, a few discordant observations - like in particular direct measurements of the Hubble parameter - suggest that we could be missing small corrections to this model, possibly induced by new physics. We will review and compare possible explanations to the Hubble tension, in particular in terms of non-minimal Dark Sector relics, Dark Energy models, or variations of fundamental constants.