Gaussian processes and effective field theory of $f(T)$ gravity under the $H_0$ tension. (arXiv:2203.01926v2 [astro-ph.CO] UPDATED)

Gaussian processes and effective field theory of $f(T)$ gravity under the $H_0$ tension. (arXiv:2203.01926v2 [astro-ph.CO] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Ren_X/0/1/0/all/0/1">Xin Ren</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Yan_S/0/1/0/all/0/1">Sheng-Feng Yan</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Zhao_Y/0/1/0/all/0/1">Yaqi Zhao</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Cai_Y/0/1/0/all/0/1">Yi-Fu Cai</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Saridakis_E/0/1/0/all/0/1">Emmanuel N. Saridakis</a>

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 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 (BIC), we find an analytic expression that may describe
the cosmological evolution in great agreement with observations.

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