  In the standard model, the weak gauge bosons and fermions obtain mass after
spontaneous electro-weak symmetry breaking, which is realized through one
fundamental scalar field, namely Higgs field. In this paper we study the
simplest scalar cold dark matter model in which the scalar cold dark matter
also obtains mass through interaction with the weak-doublet Higgs field, the
same way as those of weak gauge bosons and fermions. Our study shows that the
correct cold dark matter relic abundance within $3\sigma$ uncertainty ($ 0.093
< \Omega_{dm} h^2 < 0.129 $) and experimentally allowed Higgs boson mass
($114.4 \le m_h \le 208$ GeV) constrain the scalar dark matter mass within $48
\le m_S \le 78$ GeV. This result is in excellent agreement with that of W. de
Boer et.al. ($50 \sim 100$ GeV). Such kind of dark matter annihilation can
account for the observed gamma rays excess ($10\sigma$) at EGRET for energies
above 1 GeV in comparison with the expectations from conventional Galactic
models. We also investigate other phenomenological consequences of this model.
For example, the Higgs boson decays dominantly into scalar cold dark matter if
its mass lies within $48 \sim 64$ GeV.
