CP violation in mixing and oscillations for leptogenesis. Part II. The highly degenerate case
Abstract We extend to the highly degenerate case a recent approach for analyzing the sources of CP violation in baryogenesis models with quasi-degenerate neutrinos. In this approach an expansion of the resummed propagator around the poles is plugged into a quantum field theory model of neutrino osci...
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2021
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oai:doaj.org-article:77bdfddf8faa4b29a556f24a7a456a472021-11-08T11:16:17ZCP violation in mixing and oscillations for leptogenesis. Part II. The highly degenerate case10.1007/JHEP11(2021)0271029-8479https://doaj.org/article/77bdfddf8faa4b29a556f24a7a456a472021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)027https://doaj.org/toc/1029-8479Abstract We extend to the highly degenerate case a recent approach for analyzing the sources of CP violation in baryogenesis models with quasi-degenerate neutrinos. In this approach an expansion of the resummed propagator around the poles is plugged into a quantum field theory model of neutrino oscillations and a source term for the time evolution of the lepton asymmetry is built directly from the probabilities of lepton number violating processes involving only stable particles. This allows for a transparent consideration of unitarity requirements. The source term has contributions that can be identified with CP violation from mixing, oscillations and interference between both. For the highly degenerate case, i.e. when the mass difference between two neutrinos is similar or smaller than their decay widths, we find that in general the mixing and oscillation terms contribute with opposite signs to the generation of lepton asymmetry and the contribution of the interference term is typically very relevant and crucial to ensure unitarity is satisfied. Moreover, the expressions we obtain are finite in the double degenerate limit of equal masses and couplings. The calculations are done in a simple scalar toy model.J. RackerSpringerOpenarticleCosmology of Theories beyond the SMBeyond Standard ModelCP violationNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-15 (2021) |
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Cosmology of Theories beyond the SM Beyond Standard Model CP violation Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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Cosmology of Theories beyond the SM Beyond Standard Model CP violation Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 J. Racker CP violation in mixing and oscillations for leptogenesis. Part II. The highly degenerate case |
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Abstract We extend to the highly degenerate case a recent approach for analyzing the sources of CP violation in baryogenesis models with quasi-degenerate neutrinos. In this approach an expansion of the resummed propagator around the poles is plugged into a quantum field theory model of neutrino oscillations and a source term for the time evolution of the lepton asymmetry is built directly from the probabilities of lepton number violating processes involving only stable particles. This allows for a transparent consideration of unitarity requirements. The source term has contributions that can be identified with CP violation from mixing, oscillations and interference between both. For the highly degenerate case, i.e. when the mass difference between two neutrinos is similar or smaller than their decay widths, we find that in general the mixing and oscillation terms contribute with opposite signs to the generation of lepton asymmetry and the contribution of the interference term is typically very relevant and crucial to ensure unitarity is satisfied. Moreover, the expressions we obtain are finite in the double degenerate limit of equal masses and couplings. The calculations are done in a simple scalar toy model. |
format |
article |
author |
J. Racker |
author_facet |
J. Racker |
author_sort |
J. Racker |
title |
CP violation in mixing and oscillations for leptogenesis. Part II. The highly degenerate case |
title_short |
CP violation in mixing and oscillations for leptogenesis. Part II. The highly degenerate case |
title_full |
CP violation in mixing and oscillations for leptogenesis. Part II. The highly degenerate case |
title_fullStr |
CP violation in mixing and oscillations for leptogenesis. Part II. The highly degenerate case |
title_full_unstemmed |
CP violation in mixing and oscillations for leptogenesis. Part II. The highly degenerate case |
title_sort |
cp violation in mixing and oscillations for leptogenesis. part ii. the highly degenerate case |
publisher |
SpringerOpen |
publishDate |
2021 |
url |
https://doaj.org/article/77bdfddf8faa4b29a556f24a7a456a47 |
work_keys_str_mv |
AT jracker cpviolationinmixingandoscillationsforleptogenesispartiithehighlydegeneratecase |
_version_ |
1718442249877979136 |