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The spontaneous breaking of the global lepton number, an accidental symmetryin the Standard Model of particle physics, results in a massless goldstoneboson, the Majoron, which can be taken as a cold dark matter candidate withproperties similar to these of the axion. In this letter, we propose a novelmass generation mechanism for the Majoron via radiative corrections induced bythe interaction of a tiny lepton-number-violating (LNV) Majorana mass term ofright-handed neutrinos in the canonical seesaw mechanism. We show that this LNVMajorana mass term not only generates the mass of the Majoron but also leads toa non-zero initial velocity of the Majoron, which subsequently impacts on therelic abundance of the Majoron generated in the early universe via themisalignment mechanism. With the assistance of the Weinberg operator, the sameinitial velocity may also generate the lepton asymmetry, which is subsequentlytransported into the baryon asymmetry of the universe (BAU) via the weaksphaleron process. As a result, the neutrino masses, dark matter and the BAUcan be addressed in this concise theoretical framework.

Majorana Majoron and the Baryon Asymmetry of the Universe