Cosmological tensions can arise within the Lamda cold dark matter 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 H₀ and σ₈ tensions simultaneously within torsional gravity from the perspective of effective field theory. Following these observations, we construct concrete models of Lagrangians of torsional gravity. Specifically, we consider the parametrization f(T)=-T-2Λ/MP²+αT^β, 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 H₀ and σ₈ tensions simultaneously, hence, offering an additional argument in favor of gravitational modification.
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Yan et al. (2020) studied this question.
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