  We consider the Littlest Higgs Model with T-parity (LHT), in the parameter
region where a heavy neutrino is the lightest T-odd particle (LTP). Having
emphasized that this corresponds to a sizable region in the parameter space of
the theory, we show that both the Cryogenic Dark Matter Search (CDMS) and
Xenon10 experiments disallow the entire region where the masses of the new
particles in LHT can lie within several TeV. Therefore, any observation of the
signals of a heavy neutrino LTP is likely to seriously reopen the issue of cold
dark matter in the universe.

High Energy Physics - Phenomenology