Solving the density matrix equation shows the Landau-Zener approximation overestimates the Higgs-induced right-handed neutrino dark matter abundance by many orders of magnitude, changing the predicted dark matter mass range.
Majorana Dark Matter
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abstract
In this letter in the framework of a simple see-saw scenario with two (or three) quasi degenerate Majorana neutrinos we propose that one of these neutrinos can be very weakly coupled, yet there is a mechanism of the generation of the abundance of such "dark" neutrino in the early universe. The mechanism of production is due to oscillations between "dark" Majorana neutrino and one of the Majorana's which has relatively large Yukawa couplings ("bright" Majorana neutrino). The transition of "bright" Majorana into a "dark" one is nonadiabatic. We point out on the similarity with the Landau-Zener transition regime. In our model one can explain the observed dark matter density, present matter-antimatter asymmetry and active neutrino data all at the same time
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Density matrix calculation of the dark matter abundance in the Higgs induced right-handed neutrino mixing model
Solving the density matrix equation shows the Landau-Zener approximation overestimates the Higgs-induced right-handed neutrino dark matter abundance by many orders of magnitude, changing the predicted dark matter mass range.