We derive strong constraints on the Yukawa couplings and the vacuum expectation value in the singlet majoron model. The presence of a small gravitationally induced mass for the majoron can be used to set a constraint on its vacuum expectation value. If the singlet symmetry breaking scale is larger than the electroweak symmetry breaking scale, lepton number violating interactions in equilibrium with electroweak sphaleron interactions would destroy any prior baryon asymmetry. If the baryon asymmetry is not generated at the electroweak scale or later, strong bounds on the Yukawa couplings h ≲ 10-7 and VEVs vs < vEW are derived. We also carefully rederive baryogenesis bounds on neutrino masses, finding that in general they apply not to the masses themselves, but only to related parameters, and they are numerically somewhat less stringent than has previously been claimed.
Bibliographical noteFunding Information:
We would like to thank B. Campbell, S. Davidson, M. Davis, S. Nussinov and S. Paban for useful discussionsT. his work was supportedi n part by DOE grant DE-AC02-83ER-40105.T he work of KAO was in addition supportedb y a PresidentialY oung InvestigatorA ward.