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Systematic approach to thermal leptogenesis


Frossard,  Tibor
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

Kartavtsev,  Alexander
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

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Frossard, T., Garny, M., Hohenegger, A., Kartavtsev, A., & Mitrouskas, D. (2013). Systematic approach to thermal leptogenesis. Physical Review D, 87(08): 085009, pp. 1-39. doi:10.1103/PhysRevD.87.085009.

In this work we study thermal leptogenesis using nonequilibrium quantum field theory. Starting from fundamental equations for correlators of the quantum fields we describe the steps necessary to obtain quantum-kinetic equations for quasiparticles. These can easily be compared to conventional results and overcome conceptional problems inherent in the canonical approach. Beyond CP-violating decays we include also those scattering processes which are tightly related to the decays in a consistent approximation of fourth order in the Yukawa couplings. It is demonstrated explicitly how the S-matrix elements for the scattering processes in the conventional approach are related to two- and three-loop contributions to the effective action. We derive effective decay and scattering amplitudes taking medium corrections and thermal masses into account. In this context we also investigate CP-violating Higgs decay within the same formalism. From the kinetic equations we derive rate equations for the lepton asymmetry improved in that they include quantum-statistical effects and medium corrections to the quasiparticle properties.