Interpreting cosmological tensions from the effective field theory of torsional gravity

Cosmological tensions can arise within $\mathrm{\Lambda }$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 $f(T)=-T-2\mathrm{\Lambda }\mathrm{/}{M}_P^2+\alpha T^{\beta }$, 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.