  We construct the Effective Field Theory (EFT) of the teleparallel equivalent
of general relativity (TEGR). Firstly, we present the necessary field
redefinitions of the scalar field and the tetrads. Then we provide all the
terms at next-to-leading-order, containing the torsion tensor and its
derivatives, and derivatives of the scalar field, accompanied by generic
scalar-field-dependent couplings, where all operators are suppressed by a scale
$\Lambda$. Removing all redundant terms using the field redefinitions we result
to the EFT of TEGR, which includes significantly more terms comparing to the
EFT of General Relativity. Finally, we present an application in a cosmological
framework. Interestingly enough, although GR and TEGR are completely equivalent
at the level of classical equations, we find that their corresponding EFTs
possess minor but non-zero differences. Hence, we do verify that at higher
energies the excitation and the features of the extra degrees of freedom are
slightly different in the two theories, thus making them theoretically
distinguishable. Nevertheless, we mention that these differences are suppressed
by the heavy mass scale $\Lambda$ and thus it is not guaranteed that they could
be measured in future experiments and observations.
