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research article

Leptogenesis from first principles in the resonant regime

Garny, Mathias
•
Kartavtsev, Alexander
•
Hohenegger, Andreas  
2013
Annals Of Physics

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. (c) 2012 Elsevier Inc. All rights reserved.

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Type
research article
DOI
10.1016/j.aop.2012.10.007
Web of Science ID

WOS:000313767000002

Author(s)
Garny, Mathias
Kartavtsev, Alexander
Hohenegger, Andreas  
Date Issued

2013

Publisher

Academic Press Inc Elsevier Science

Published in
Annals Of Physics
Volume

328

Start page

26

End page

63

Subjects

Leptogenesis

•

Kadanoff-Baym equation

•

Early Universe

•

Non-equilibrium quantum field theory

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LPPC  
Available on Infoscience
March 28, 2013
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/90973
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