Interpreting cosmological tensions from the effective field theory of
  torsional gravity
  Cosmological tensions can arise within $\Lambda$CDM scenario amongst
different observational windows, which may indicate new physics beyond the
standard paradigm if confirmed by measurements. In this article, we report how
to alleviate both the $H_0$ and $\sigma_8$ tensions simultaneously within
torsional gravity from the perspective of effective field theory (EFT).
Following these observations, we construct concrete models of Lagrangians of
torsional gravity. Specifically, we consider the parametrization
$f(T)=-T-2\Lambda/M_P^2+\alpha T^\beta$, where two out of the three parameters
are independent. This model can efficiently fit observations solving the two
tensions. To our knowledge, this is the first time where a modified gravity
theory can alleviate both $H_0$ and $\sigma_8$ tensions simultaneously, hence,
offering an additional argument in favor of gravitational modification.
