Hubble tension as a window on the gravitation of the dark matter sector

A simple and minimal extension of the standard cosmological $\mathrm{\Lambda }$CDM model in which dark matter experiences an additional long-range scalar interaction is demonstrated to alleviate the long lasting Hubble-tension while letting primordial nucleosynthesis predictions unaffected and passing by construction all current local tests of general relativity. The theoretical formulation of this $\mathrm{\Lambda }\beta$CDM model and its comparison to astrophysical observations are presented to prove its ability to fit existing data and potentially resolve the tension.