Inhalt

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  1 Introduction
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   1.1 Baryogenesis
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   1.2 Leptogenesis
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  2 Two-point functions at finite temperature
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   2.1 Basic relations between two-point functions
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   2.2 Symmetries of two-point correlators
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  3 Theory of quasi-stationary fluctuations
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   3.1 Linear kinetic equations
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   3.2 Determination of the coefficients
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  4 Susceptibilities of conserved charges
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   4.1 Computation of the susceptibilities
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   4.2 Dimensional reduction
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   4.3 Hard contributions
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   4.4 The dimensionally reduced theory
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   4.5 Soft contributions for soft Higgs mass
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   4.6 Ultrasoft Higgs mass
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   4.7 Relation between B and B-L
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  5 Lepton washout rate at low temperatures
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   5.1 Neutrino masses and the washout rate
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   5.2 Kubo relations for the washout rate in an effective theory
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   5.3 Leading order
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   5.4 Beyond leading order
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   5.5 Size of the quantum statistical effects and order g Higgs mass contribution
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  6 Three-point functions at finite temperature
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   6.1 The three-point spectral representation
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   6.2 Implications of CP and T invariance
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  7 Lepton asymmetry rate
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   7.1 Kubo relations for the asymmetry rate
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   7.2 Relation to three-point functions in the hierarchical limit
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   7.3 CP, T and SU(n f )-flavor symmetry
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   7.4 Analytic continuation and -expansion
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   7.5 Leading order at zero temperature
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   7.6 Next-to-leading order at zero temperature
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  8 Sterile neutrino equilibration rate
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   8.1 Relation between production and equilibration rates
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   8.2 Charged particle species
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   8.3 Uncharged particle
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   9 Summary and Outlook
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  A Washout rate: Computation of the phase-space integrals
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   A.1 Definitions
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   A.2 Calculation of I110012
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   A.3 Calculation of I131010
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  B Asymmetry rate: Computation of the spectral functions
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   B.1 Dirac traces
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   B.2 Reduction to master integrals and -expansion
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   B.3 Factorisable three-point spectral functions
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   B.3.1 Computation of fac4R and fac4L
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   B.3.2 Computation of fac3R and fac3L
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  B.4 Non-factorisable spectral functions without squared propagators
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   B.4.1 Computation of BB
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   B.4.2 Computation of LR
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   B.4.3 Computation of SSR and SSL
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   B.4.4 Computation of 2L and 2R
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  B.5 Non-factorisable spectral functions with one squared propagator
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   B.5.1 Computation of BBdot
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   B.5.2 Computation of SSRdot and SSLdot
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  B.6 Counter terms
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   B.6.1 Determination of Z and Z
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   B.6.2 Determination of Zh
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   B.6.3 Determination of Zg