The paper derives a density-matrix perturbation formula for two-state non-adiabatic transitions that reproduces the Landau-Zener result only to first order.
Large neutrino asymmetries from neutrino oscillations
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abstract
We re-examine neutrino oscillations in the early universe. Contrary to previous studies, we show that large neutrino asymmetries can arise due to oscillations between ordinary neutrinos and sterile neutrinos. This means that the Big Bang Nucleosynthesis (BBN) bounds on the mass and mixing of ordinary neutrinos with sterile neutrinos can be evaded. Also, it is possible that the neutrino asymmetries can be large (i.e. $\stackrel{>}{\sim} 10\%$), and hence have a significant effect on BBN through nuclear reaction rates.
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Neutrino invisible decays and a boomerang mechanism transferring particles between visible and dark sectors could resolve cosmological anomalies while predicting an observable effective magnetic moment.
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Non-adiabatic transitions in the density matrix formalism
The paper derives a density-matrix perturbation formula for two-state non-adiabatic transitions that reproduces the Landau-Zener result only to first order.
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How neutrinos could help solving cosmological anomalies and tensions
Neutrino invisible decays and a boomerang mechanism transferring particles between visible and dark sectors could resolve cosmological anomalies while predicting an observable effective magnetic moment.