Testing f(T) cosmologies with HII Hubble diagram and CMB distance priors

Abstract

In this paper, we present independent determinations of cosmological parameters and new constraints on $f\left(T\right)$ cosmologies, employing two new catalogs related to HII galaxy Hubble and CMB distance priors, along with the local standard measurements, SNIa, $H\left(z\right)$ measurements, growth rate data (RSD), and BAO baselines. We found that the marginalized best-fit C.L. $H_0$ and ${\sigma }_8$ parameters within $f\left(T\right)$ cosmologies allow $f\left(T\right)$ to relax the current cosmological tensions using HIIG data, which produces a larger range of admissible values for the current Hubble constant, and when all baselines are considered, the uncertainty bands for $H_0$ and the matter density parameter reduce significantly.