  A TeV-scale Higgs doublet can acquire a tiny vacuum expectation value via its
small mixing with the standard model Higgs doublet. Ones then can realize a
testable Dirac neutrino mass generation through the sizable Yukawa couplings
among this new Higgs doublet, several right-handed neutrinos and the standard
model lepton doublets. We show the small mixing between the two Higgs doublets
can come from certain interactions for generating the cosmic baryon asymmetry.
