  In this paper, we study the pair production and their decays of the Higges in
the neutrinophilic Higgs two doublet model. The pair production occurs through
W and Z gauge bosons fusion process. In the neutrinophilic model, the vacuum
expectation value (VEV) of the second Higgs doublet is small and is
proportional to the neutrino mass. The smallness of VEV is associated with the
approximate global U(1) symmetry which is slightly broken. Therefore, there is
a suppression factor for the U(1) charge breaking process. The second Higgs
doublet has U(1) charge and its single production from the gauge boson fusion
violates the U(1) charge conservation and is suppressed strongly to occur. In
contrast to the single production, the pair production of the Higgses conserves
U(1) charge and the approximate symmetry does not forbid it. To search for the
pair productions in collider experiment,we study the production cross section
of a pair of the charged Higgs and neutral Higgs bosons in e+ e- collision with
center of energy from 600 (GeV) to 2000 (GeV). The total cross section varies
from 10^{-4}(fb) to 10^{-3}(fb) for degenerate (200 GeV) charged and neutral
Higgses mass case. The background process to the signal is gauge bosons pair W
+ Z production and their decays. We show the signal over background ratio is
about 2% ~ 3% by combining the cross section ratio with ratios of branching
fractions.
