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#### Medium corrections to the CP-violating parameter in leptogenesis

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##### Citation

Garny, M., Hohenegger, A., & Kartavtsev, A. (2010). Medium corrections to the CP-violating
parameter in leptogenesis.* Physical Review D,* *81*(8):
085028, pp. 1-9. Retrieved from http://arxiv.org/abs/1002.0331.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0011-71A4-3

##### Abstract

In two recent papers, arXiv:0909.1559 and arXiv:0911.4122, it has been demonstrated that one can obtain quantum corrected Boltzmann kinetic equations for leptogenesis using a top-down approach based on the Schwinger-Keldysh/Kadanoff-Baym formalism. These "Boltzmann-like" equations are similar to the ones obtained in the conventional bottom-up approach but differ in important details. In particular there is a discrepancy between the CP-violating parameter obtained in the first-principle derivation and in the framework of thermal field theory. Here we demonstrate that the two approaches can be reconciled if causal n-point functions are used in the thermal field theory approach. The new result for the medium correction to the CP-violating parameter is qualitatively different from the conventional one. The analogy to a toy model considered earlier enables us to write down consistent quantum corrected Boltzmann equations for thermal leptogenesis in the Standard Model (supplemented by three right-handed neutrinos) which include quantum statistical terms and medium corrected expressions for the CP-violating parameter.