Hubble Hullabaloo and String Cosmology

The discrepancy in measurements of the Hubble constant indicates new physics in dark energy, dark matter, or both. Drawing inspiration from string theory, we explore possible solutions to overcome the $H_0$ problem. We investigate the interplay between the cosmological determination of $\mathrm{\Delta }{N}_{\mathrm{e}\mathrm{f}\mathrm{f}}$ and $Z^{\mathrm{\prime }}$ searches at the LHC Run3.