  We study disformal transformations in the context of scalar extensions to
teleparallel gravity, in which the gravitational interaction is mediated by the
torsion of a flat, metric compatible connection. We find a generic class of
scalar-torsion actions which is invariant under disformal transformations, and
which possesses different invariant subclasses. For the most simple of these
subclasses we explicitly derive all terms that may appear in the action. We
propose to study actions from this class as possible teleparallel analogues of
healthy beyond Horndeski theories.
