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  Leptogenesis from first principles in the resonant regime

Garny, M., Kartavtsev, A., & Hohenegger, A. (2013). Leptogenesis from first principles in the resonant regime. Annals of Physics, 328, 26-63. doi:10.1016/j.aop.2012.10.007.

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Garny, Mathias1, Author
Kartavtsev, Alexander2, Author           
Hohenegger, Andreas3, Author
Affiliations:
1Deutsches Elektronen-Synchrotron DESY, Notkestrasse 85, 22603 Hamburg, Germany, ou_persistent22              
2Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society, ou_904549              
3École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland, ou_persistent22              

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 Abstract: The lepton asymmetry generated by the out-of-equilibrium decays of heavy Majorana neutrinos with a quasi-degenerate mass spectrum is resonantly enhanced. In this work, we study this scenario within a first-principle approach. The quantum field theoretical treatment is applicable for mass splittings of the order of the width of the Majorana neutrinos, for which the enhancement is maximally large. The non-equilibrium evolution of the mixing Majorana neutrino fields is described by a formal analytical solution of the Kadanoff–Baym equations, that is obtained by neglecting the back-reaction. Based on this solution, we derive approximate analytical expressions for the generated asymmetry and compare them to the Boltzmann result. We find that the resonant enhancement obtained from the Kadanoff–Baym approach is smaller compared to the Boltzmann approach, due to additional contributions that describe coherent transitions between the Majorana neutrino species. We also discuss corrections to the masses and widths of the degenerate pair of Majorana neutrinos that are relevant for very small mass splitting, and compare the approximate analytical result for the lepton asymmetry with numerical results

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 Dates: 2013-01
 Publication Status: Issued
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 Rev. Type: -
 Identifiers: ISI: 000313767000002
DOI: 10.1016/j.aop.2012.10.007
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Title: Annals of Physics
Source Genre: Journal
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Publ. Info: Orlando, Fla. : Academic Press
Pages: - Volume / Issue: 328 Sequence Number: - Start / End Page: 26 - 63 Identifier: ISSN: 0003-4916
CoNE: https://pure.mpg.de/cone/journals/resource/954922644005