Neutrino oscillations in the early universe: How large lepton asymmetry can be generated?
A. D. Dolgov, S. H. Hansen, S. Pastor, D. V. Semikoz
Abstract
The lepton asymmetry that could be generated in the early universe through oscillations of active to sterile neutrinos is calculated (almost) analytically for small mixing angles, sin 2θ< 10-2. It is shown that for a mass squared difference, δm2=-1 eV2 it may rise at most by 6 orders of magnitude from the initial ``normal'' value of 10-10, since the back-reaction from the refraction index terminates this rise while the asymmetry is still small. Only for very large mass differences, δm2 about 109 eV2, the lepton asymmetry could reach a significant magnitude exceeding 0.1.
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