  A new Majoron model is presented within the framework of the seesaw
mechanism. Its Higgs sector consists of only doublet representations and the
lepton-number violation takes place at the same scale of the electroweak
symmetry breaking. This model is different from the singlet- or triplet-Majoron
model in several respects: it is free from the \(\rho\)-parameter constraint
and it provides moderately fast neutrino decay, but the constraint from the
stellar cooling of red giants is satisfied only with an imposed approximate
symmetry. A \(\tau\) neutrino as heavy as 10 MeV is possible in this model
despite various cosmological and astrophysical constraints.
