Medium corrections to the CP-violating parameter in leptogenesis
| Autor: | Mathias Garny, Alexander Kartavtsev, Andreas Hohenegger |
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| Rok vydání: | 2010 |
| Předmět: |
Physics
Nuclear and High Energy Physics Toy model Partial differential equation Thermal quantum field theory FOS: Physical sciences Boltzmann equation High Energy Physics - Phenomenology Theoretical physics symbols.namesake High Energy Physics - Phenomenology (hep-ph) Leptogenesis Quantum mechanics Boltzmann constant symbols Grand Unified Theory Quantum field theory |
| DOI: | 10.48550/arxiv.1002.0331 |
| Popis: | 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. Comment: 13 pages, 9 figures |
| Databáze: | OpenAIRE |
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