  Our contribution sets out to investigate the phenomenology of a gauge model
based on an $SU_{L}(2) \times U_{R}(1)_{Q} \times U(1)_{Q'}$-symmetry group.
The model can accommodate, through its symmetry-breaking pattern, a candidate
to a heavy $Z'$-boson at the TeV-scale. The extended Higgs sector introduces a
heavy scalar whose mass lies in the region $1.2-3.7 \, \mbox{TeV}$. The fermion
sector includes an exotic candidate to Dark Matter that mixes with the
right-handed neutrino component in the Higgs sector, so that the whole field
content ensures the cancellation of the $U(1)$-quiral anomaly. The masses are
fixed according to the particular way the symmetry breaking takes place. In
view of the possible symmetry breakdown pattern, we study the phenomenological
implications in a high-energy scenario. We worek out the magnetic dipole
momentum (MDM) of the exotic fermion and the transition MDM due to its mixing
with the right-neutrino.
