Neutrino oscillations in the early universe: How large lepton asymmetry can be generated?

Details Neutrino oscillations in the early universe: How large lepton asymmetry can be generated? Neutrino oscillations in the early universe: How large lepton asymmetry can be generated?

1999-10-22

arxiv.org/abs/hep-ph/9910444v1

Astropart.Phys.14:79-90,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages, LaTeX (5 graphs)

Scientific paper

10.1016/S0927-6505(00)00111-0

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 2\theta < 10^{-2}. It is shown that for a mass squared difference, \delta m^2=-1 eV^2 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, \delta m^2 about 10^9 eV^2, the lepton asymmetry could reach a significant magnitude exceeding 0.1.

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