  A simple and minimal extension of the standard cosmological $\Lambda$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 $\Lambda\beta$CDM model and its comparison to astrophysical
observations are presented to prove its ability to fit existing data and
potentially resolve the tension.
