Late-time interacting cosmologies and the Hubble constant tension

In this manuscript we reassess the potential of interacting dark matter--dark energy models in solving Hubble constant tension. These have been proposed but also questioned as possible solutions to ${H}_{0}$ problem. Here examine several scenarios against cosmological observations, focusing on important role played by calibration supernovae data. order ability easing tension, systematically confront their theoretical predictions using a prior Ia absolute magnitude ${M}_{B}$, which has argued be more robust and certainly less controversial than ${H}_{0}$. While some data combinations do not show any preference for sectors these clustering ${\ensuremath{\sigma}}_{8}$ tension worsens, cosmologies with equation state $w<\ensuremath{-}1$ are preferred over canonical $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$ picture even cosmic microwave background alone provide values perfect agreement those from weak lensing surveys. Future surveys will test exotic accurately measuring its putative redshift evolution.