Cosmological viable models in f(T,B) theory as solutions to the H₀ tension

In this work we present a further investigation about teleparallel gravity cosmology. We demonstrate that according to the current astrophysical data (CC + Pantheon + BAO samplers with late Universe measurements SH0ES + H0LiCOW), an f(T, B) theory can provide another interpretation to the oscillatory behaviour of the dark energy equation of state when applied to late times. The four f(T, B) cosmological viable models proposed here can undergo an epoch of late-time acceleration and reproduce quintessence and phantom regimes with a transition along the phantom-divided line, making this theory a good approach to modify the standard ΛCDM model. (paper)