  Torsion is a metric-independent component of gravitation, which may provide a
more general geometry than the one taking place within general relativity. On
the other hand torsion could lead to interesting phenomenology in both particle
physics and cosmology. In the present work it is shown that a torsion field
interacting with the SM Higgs doublet and having a negligible coupling to SM
fermions is protected from decaying by a $Z_2$ symmetry, and therefore becomes
a promising Dark Matter (DM) candidate. In order to check the consistency of
this scenario we evaluate the DM relic density and explore direct DM detection
and collider constraints on this model. It turns out that in the model when the
Higgs boson is only partly responsible for the generation of torsion mass,
there is a region of parameter space where torsion contributes 100% to the DM
budget of the Universe. Furthermore, we show that the LHC currently has a
limited sensitivity to the torsion parameter space via mono-jet signature and
will be able to considerably improve its coverage of the torsion parameter
space with the projected high luminosity.
