Kinetic equations for sterile neutrinos from thermal fluctuations

Abstract

We obtain non-linear kinetic equations for sterile neutrino occupancies and lepton minus baryon numbers by matching real time correlation functions of thermal fluctuations computed in an effective description to those computed in thermal quantum field theory. After expanding in the sterile-neutrino Yukawa couplings, the coefficients in the equations are written as real time correlation functions of Standard Model operators. Our kinetic equations are valid for an arbitrary number of sterile neutrinos of any mass spectrum. They can be used to describe, e.g., low-scale leptogenesis via neutrino oscillations, or sterile neutrino dark matter production in the Higgs phase.

arXiv comment30 pages. v2: Typos corrected, results unchanged, published version

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• Uniting low-scale leptogeneses
• Sterile neutrino dark matter via coinciding resonances
• MeV-scale Seesaw and Leptogenesis
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• Mass-derivative relations for leptogenesis
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• Freeze-in and freeze-out generation of lepton asymmetries after baryogenesis in the $\nu$MSM
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• On different approaches to freeze-in and freeze-out leptogenesis with quasi-degenerate neutrinos