$f(T)$ gravity after DESI Baryon Acoustic Oscillation and DES Supernovae 2024 data

Abstract

In this work, we investigate new constraints on $f(T)$ gravity using the recent Baryon Acoustic Oscillation (BAO) data released by the Dark Energy Spectroscopic Instrument (DESI) and the Type Ia supernovae (SNIa) catalog from the full 5-years of the Dark Energy Survey Supernova Program (DES-SN5YR). The $f(T)$ cosmological models considered are characterised by power law late-time accelerated expansion. Our results show that the combination DESI BAO +$r_d$ CMB Planck suggests a Bayesian preference for late-time $f(T)$ cosmological models over $\Lambda$CDM, obtaining a value of $H_0= 68.3^{+3.0}_{-3.5}$[km/s/Mpc] in agreement with SH0ES collaboration, however, due to a bigger uncertainty.