H0 tension in torsion-based modified gravity

The rising concern in the Hubble constant tension (H0 tension) of the cosmological models motivates the scientific community to search for alternative cosmological scenarios that could resolve the H0 tension. In this regard, we aim to work on a torsion-based modified theory of gravity which is an alternative description to the coherence model. We solve numerically for the Hubble parameter using two exponential Lagrangian functions of torsion T and a trace of energy-momentum tensor T for the dust case. Further, we constrain the cosmological and model parameters; to do that, we use Hubble, SNe Ia, Baryon Acoustic Oscillations, Cosmic Microwave Background samples, and Markov Chain Monte Carlo (MCMC) simulation through Bayesian statistics. We obtain the values of Hubble constant H0 for our model, and the outputs align with the recent observational measurements of H0. In addition, we check the deviation of our results from model-independent measurements of H0 from Planck2018, SH0ES, and H0LiCOW experiments. In contrast, our finding partially solved the H0 tension but gave a new possible direction to alleviate the H0 tension.