We study the Dark Matter (DM) discovery prospect and its spin discrimination
in the theoretical framework of gauge invariant and renormalizable Higgs portal
DM models at the ILC with s=500 GeV. In such models, the DM pair is
produced in association with a Z boson. In case the singlet scalar DM, the
mediator is just the SM Higgs boson, whereas for the fermion or vector DM there
is an additional singlet scalar mediator that mixes with the SM Higgs boson,
which produces significant observable differences. After careful investigation
of the signal and backgrounds both at parton level and at detector level, we
find the signal with hadronically decaying Z boson provides a better search
sensitivity than the signal with leptonically decaying Z boson. Taking the
fermion DM model as a benchmark scenario, when the DM-mediator coupling
gχ is relatively small, the DM signals are discoverable only for
benchmark points with relatively light scalar mediator H2. And the spin
discriminating from scalar DM is always promising while it is difficult to
discriminate from vector DM. As for gχ approaching the perturbative
limit, benchmark points with the mediator H2 in the full mass region of
interest are discoverable. And the spin discriminating from both the scalar and
fermion DM are quite promising.Comment: 26 pages, 9 figures, version accepted for publication in EPJ