We study constraints on the hidden sector model mediated by an additional
SU(2) Higgs doublet from the phenomenology of Higgs bosons. The hidden sector
is assumed to contain a hidden U(1) gauge symmetry and the hidden U(1) gauge
boson gets the mass by the electroweak symmetry breaking to be a dark Z boson.
The Higgs sector of the model is similar to that of the two Higgs doublet model
of type I except for the absence of the CP-odd scalar boson. Using the programs
of HiggsBounds and HiggsSignals, we incorporate current experimental limits
from LEP, Tevatron and LHC to examine the Higgs sector in our model and derive
constraints on model parameters. We also discuss the implications of the model
on the dark matter phenomenology.Comment: 18 pages, 7 figure