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We summarize the state of the art of the theory of thermal leptogenesis according to which the baryon asymmetry in the Universe is produced at very high temperatures from the decay of heavy right-handed neutrinos. The same heavy states might be responsible through the see-saw mechanism of the lightness of the left-handed neutrinos. This opens up the possibility that measuring the low-energy neutrino parameters would lead to know something about the primordial Universe.
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