Gaussian Processes and Effective Field Theory of f(T) Gravity under the H 0 Tension

We consider the effective field theory formulation of torsional gravity in a cosmological framework to alter the background evolution. Then we use the latest H (0) measurement from the SH0ES Team, as well as observational Hubble data from cosmic chronometer and radial baryon acoustic oscillations, and we reconstruct the f(T) form in a model-independent way by applying Gaussian processes. Since the special square-root term does not affect the evolution at the background level, we finally summarize a family of functions that can produce the background evolution required by the data. Lastly, performing a fitting using polynomial functions and implementing the Bayesian information criterion, we find an analytic expression that may describe the cosmological evolution in great agreement with observations.

Automated summary

In this study, we investigate the effective field theory formulation of torsional gravity in a cosmological framework and reconstruct the f(T) form in a model-independent way. By considering observational data and performing fitting using polynomial functions, we find an analytic expression that describes the cosmological evolution in great agreement with observations.