We consider a left-right symmetric model in which neutrinos acquire ma
ss due to the spontaneous violation of both the gauged B - L and a glo
bal U(1) symmetry broken by the vacuum expectation value (VEV) of a ga
uge singlet scalar boson [sigma]. For suitable choices of [sigma] cons
istent with all laboratory and astrophysical observations neutrinos wi
ll be unstable against majoron emission. All neutrino masses in the ke
V to MeV range are possible, since the expected neutrino decay lifetim
es can be short enough to dilute their relic density below the cosmolo
gically required level. A wide variety of possible new phenomena, asso
ciated to the presence of left-right symmetry and/or the global symmet
ry at the TeV scale, could therefore be observable, without conflict w
ith cosmology. The latter includes the possibility of invisibly decayi
ng higgs bosons, which can be searched at LEP, NLC and LHC.