  We show that the standard model (SM)-like Higgs boson may decay into
neutrinos with a sizable decay branching ratio in one well-known two Higgs
doublet model, so-called neutrinophilic Higgs model. This could happen if the
mass of the lighter extra neutral Higgs boson is smaller than one half of the
SM-like Higgs boson mass. The definite prediction of this scenario is that the
rate of the SM-like Higgs boson decay into diphoton normalized by the SM value
is about 0.9. In the case that a neutrino is Majorana particle, a displaced
vertex of right-handed neutrino decay would be additionally observed. This
example indicates that a large invisible Higgs boson decay could be irrelevant
to dark matter.
