Minimal theory of massive gravity in the light of CMB data and the S₈ tension

We investigate the Minimal Theory of Massive Gravity (MTMG) in the light of different observational data sets which are in tension within the ΛCDM cosmology. In particular, we analyze MTMG model, for the first time, with the Planck-CMB data, and how these precise measurements affect the free parameters of the theory. The MTMG model can affect the CMB power spectrum at large angular scales and cause a suppression on the amplitude of the matter power spectrum. We find that on adding Planck-CMB data, the graviton has a small, positive, but non-zero mass at 68\% confidence level, and from this perspective, we show that the tension between redshift space distortions measurements and Planck-CMB data in the parametric space S₈ - Ωₘ can be resolved within the MTMG scenario. Through a robust and accurate analysis, we find that the H₀ tension between the CMB and the local distance ladder measurements still remains but can be reduced to 3. 5σ within the MTMG theory. The MTMG is very well consistent with the CMB observations, and undoubtedly, it can serve as a viable candidate amongst other modified gravity theories.