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We propose a new class of leptogenesis bounds on the spontaneous symmetrybreaking of global lepton number. These models have a generic feature ofinducing new lepton number violating interactions, due to the presence of theMajorons. We analyzed the singlet Majoron model with right-handed neutrinos andfind that the lepton number should be broken above 10^5 GeV to realize asuccessful leptogenesis because the annihilations of the right-handed neutrinosinto the massless Majorons and into the standard model Higgs should go out ofequilibrium before the sphaleron process is over. We then argue that this typeof leptogenesis constraint should exist in the singlet-triplet Majoron modelsas well as in a class of R-parity violating supersymmetric Majoron models.

Leptogenesis Bound on Spontaneous Symmetry Breaking of Global Lepton Number