Phys. Rev. D 81, 085028 (2010) [9 pages]Medium corrections to the CP-violating parameter in leptogenesisReceived 2 February 2010; published 22 April 2010 In two recent papers [4, 5], 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 extended by three right-handed neutrinos, which include quantum statistical terms and medium-corrected expressions for the CP-violating parameter. © 2010 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.81.085028
DOI:
10.1103/PhysRevD.81.085028
PACS:
11.10.Wx, 98.80.Cq
See AlsoSee Also: M. Garny, A. Hohenegger, A. Kartavtsev, and M. Lindner, Systematic approach to leptogenesis in nonequilibrium QFT: Self-energy contribution to the CP-violating parameter, Phys. Rev. D 81, 085027 (2010). See Also: A. Hohenegger, A. Kartavtsev, and M. Lindner, Deriving Boltzmann equations from Kadanoff-Baym equations in curved space-time, Phys. Rev. D 78, 085027 (2008). See Also: M. Garny, A. Hohenegger, A. Kartavtsev, and M. Lindner, Systematic approach to leptogenesis in nonequilibrium QFT: Vertex contribution to the CP-violating parameter, Phys. Rev. D 80, 125027 (2009). |
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