Minimal theory of massive gravity in the light of CMB data and the $S_8$ tension. (arXiv:2106.09595v1 [astro-ph.CO])
<a href="http://arxiv.org/find/astro-ph/1/au:+Araujo_J/0/1/0/all/0/1">Jose C. N. de Araujo</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Felice_A/0/1/0/all/0/1">Antonio De Felice</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Kumar_S/0/1/0/all/0/1">Suresh Kumar</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Nunes_R/0/1/0/all/0/1">Rafael C. Nunes</a>

We investigate the Minimal Theory of Massive Gravity (MTMG) in the light of
different observational data sets which are in tension within the $Lambda$CDM
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 $S_8 – Omega_m$ can
be resolved within the MTMG scenario. Through a robust and accurate analysis,
we find that the $H_0$ tension between the CMB and the local distance ladder
measurements still remains but can be reduced to $sim3.5sigma$ 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.

We investigate the Minimal Theory of Massive Gravity (MTMG) in the light of
different observational data sets which are in tension within the $Lambda$CDM
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 $S_8 – Omega_m$ can
be resolved within the MTMG scenario. Through a robust and accurate analysis,
we find that the $H_0$ tension between the CMB and the local distance ladder
measurements still remains but can be reduced to $sim3.5sigma$ 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.

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