Kinetic Equations for Baryogenesis via Sterile Neutrino Oscillation

Abstract

We investigate baryogenesis in the $\nu$MSM (neutrino Minimal Standard Model), which is the MSM extended by three right-handed neutrinos with masses below the electroweak scale. The baryon asymmetry of the universe can be generated by the mechanism via flavor oscillation of right-handed (sterile) neutrinos which are responsible to masses of active neutrinos confirmed by various experiments. We present the kinetic equations for the matrix of densities of leptons which describe the generation of asymmetries. Especially, the momentum dependence of the matrix of densities is taken into account. By solving these equations numerically, it is found that the momentum distribution is significantly distorted from the equilibrium one, since the production for the modes with lower momenta $k\ll T$ ($T$ is the temperature of the universe) is enhanced, while suppressed for higher modes. As a result, the most important mode for the yields of sterile neutrinos as well as the baryon asymmetry is $k\simeq 2T$, which is smaller than < k > inferred from the thermal average. The comparison with the previous works is also discussed.

22 pages, 19 figures

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• The Standard Model Higgs boson as the inflaton
• Multiple Spectral Splits of Supernova Neutrinos
• The nuMSM, leptonic asymmetries, and properties of singlet fermions
• Baryon Asymmetry of the Universe in the NuMSM
• Mixing of Active and Sterile Neutrinos

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