We point out that the baryon-number asymmetry in the Universe is erased by the sphaleron effect just below the electroweak phase transition irrespective of the primordial baryon- and lepton-number asymmetry, if there exists a Majorana-type interaction. The requirement to avoid this happening leads to the condition that m_ν (Majorana)<50 keV for all species of neutrions, regardless of whether or not neutrinos are stable.
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Fukugita et al. (1990) studied this question.
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