  The existence of dark matter is now well established by several indirect
experiments. Several candidates for dark matter has also been proposed.
However, the dark matter can just be like our ordinary matter in a parallel
Universe with both Universes being described by their own non-abelian gauge
symmetries forbidding any kinetic mixing. However, the quartic Higgs
interactions involving Higgs fields between the two Universes are allowed by
the symmetries of the model. The ensuing mixing between the two lightest
Standard Model like Higgses gives rise to interesting signatures at the
proposed international electron-positron collider (ILC) specially in the case
when mass splitting between the two surviving light Higgs bosons are small
($\sim$ 100 MeV) so that they can not be resolved at the LHC.
