  We explore the viability of three models in $f(T,B)$ gravity using data from
recent surveys based on cosmic chronometers, the Pantheon data set, and
baryonic acoustic oscillation data. We also assess the consistency of these
models and data set combinations with two important priors on the Hubble
constant coming from the SH0ES Team and measurements using the tip of the red
giant branch respectively. These give the highest and lowest values of the
Hubble constant coming from cosmology independent studies. In general, our
analysis does provide a more consistent fit for the late time data being
analyzed. However, each model does include an additional model parameter in
comparison with the concordance model. We close the analysis with a comparative
analysis in which each model, data set and Hubble constant prior combination
are cross-analyzed against each other.

General Relativity and Quantum Cosmology