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 (CC) and radial baryon acoustic oscillations (BAO)
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 result to a family of functions
that can produce the background evolution required by the data. Finally,
performing a fitting using polynomial functions we find an analytic expression
that may describe the cosmological evolution in reat agreement with
observations.
