  We investigate a new scenario of the two Higgs doublet model, where the
current experimental data for the electroweak rho parameter and those for the
Higgs boson couplings can be simultaneously explained. In this scenario, the
two Higgs doublet model is supposed to be a low energy effective theory up to a
high energy scale $\Lambda$, above which a fundamental theory should appear. It
is assumed that the Higgs potential respects a global symmetry at $\Lambda$
(the twisted custodial symmetry), which is to be given as a consequence of the
global symmetry structure of the fundamental theory above $\Lambda$. By the
analysis using one-loop renormalization group equations, the above experimental
data can be explained in a natural way even when the masses of the extra Higgs
bosons are near the electroweak scale. We also discuss the predictions on the
mass spectrum of the additional Higgs bosons and also those on coupling
constants of the standard-model-like Higgs boson, which make it possible to
test this scenario at current and future collider experiments.
