Aspects of high scale leptogenesis with low-energy leptonic CP violation

Abstract Using the density matrix equations (DME) for high scale leptogenesis based on the type I seesaw mechanism, in which the CP violation (CPV) is provided by the low-energy Dirac or/and Majorana phases of the neutrino mixing (PMNS) matrix, we investigate the 1-to-2 and the 2-to-3 flavour regime...

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Autores principales: A. Granelli, K. Moffat, S. T. Petcov
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Publicado: SpringerOpen 2021
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spelling oai:doaj.org-article:78e483b99ad34eab97c8212a4b9641ec2021-11-21T12:41:26ZAspects of high scale leptogenesis with low-energy leptonic CP violation10.1007/JHEP11(2021)1491029-8479https://doaj.org/article/78e483b99ad34eab97c8212a4b9641ec2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)149https://doaj.org/toc/1029-8479Abstract Using the density matrix equations (DME) for high scale leptogenesis based on the type I seesaw mechanism, in which the CP violation (CPV) is provided by the low-energy Dirac or/and Majorana phases of the neutrino mixing (PMNS) matrix, we investigate the 1-to-2 and the 2-to-3 flavour regime transitions, where the 1, 2 and 3 leptogenesis flavour regimes in the generation of the baryon asymmetry of the Universe η B are described by the Boltzmann equations. Concentrating on the 1-to-2 flavour transition we determine the general conditions under which η B goes through zero and changes sign in the transition. Analysing in detail the behaviour of η B in the transition in the case of two heavy Majorana neutrinos N 1,2 with hierarchical masses, M 1 ≪ M 2, we find, in particular, that i) the Boltzmann equations in many cases fail to describe correctly the generation of η B in the 1, 2 and 3 flavour regimes, ii) the 2-flavour regime can persist above (below) ∼ 1012 GeV (∼ 109 GeV), iii) the flavour effects in leptogenesis persist beyond the typically considered maximal for these effects leptogenesis scale of 1012 GeV. We further determine the minimal scale M 1min at which we can have successful leptogenesis when the CPV is provided only by the Dirac or Majorana phases of the PMNS matrix as well as the ranges of scales and values of the phases for having successful leptogenesis. We show, in particular, that when the CPV is due to the Dirac phase δ, there is a direct relation between the sign of sin δ and the sign of η B in the regions of viable leptogenesis in the case of normal hierarchical light neutrino mass spectrum; for the inverted hierarchical spectrum the same result holds for M 1 ≲ 1013 GeV. The considered different scenarios of leptogenesis are testable and falsifiable in low-energy neutrino experiments.A. GranelliK. MoffatS. T. PetcovSpringerOpenarticleNeutrino PhysicsCosmology of Theories beyond the SMCP violationNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-59 (2021)
institution DOAJ
collection DOAJ
language EN
topic Neutrino Physics
Cosmology of Theories beyond the SM
CP violation
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
spellingShingle Neutrino Physics
Cosmology of Theories beyond the SM
CP violation
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
A. Granelli
K. Moffat
S. T. Petcov
Aspects of high scale leptogenesis with low-energy leptonic CP violation
description Abstract Using the density matrix equations (DME) for high scale leptogenesis based on the type I seesaw mechanism, in which the CP violation (CPV) is provided by the low-energy Dirac or/and Majorana phases of the neutrino mixing (PMNS) matrix, we investigate the 1-to-2 and the 2-to-3 flavour regime transitions, where the 1, 2 and 3 leptogenesis flavour regimes in the generation of the baryon asymmetry of the Universe η B are described by the Boltzmann equations. Concentrating on the 1-to-2 flavour transition we determine the general conditions under which η B goes through zero and changes sign in the transition. Analysing in detail the behaviour of η B in the transition in the case of two heavy Majorana neutrinos N 1,2 with hierarchical masses, M 1 ≪ M 2, we find, in particular, that i) the Boltzmann equations in many cases fail to describe correctly the generation of η B in the 1, 2 and 3 flavour regimes, ii) the 2-flavour regime can persist above (below) ∼ 1012 GeV (∼ 109 GeV), iii) the flavour effects in leptogenesis persist beyond the typically considered maximal for these effects leptogenesis scale of 1012 GeV. We further determine the minimal scale M 1min at which we can have successful leptogenesis when the CPV is provided only by the Dirac or Majorana phases of the PMNS matrix as well as the ranges of scales and values of the phases for having successful leptogenesis. We show, in particular, that when the CPV is due to the Dirac phase δ, there is a direct relation between the sign of sin δ and the sign of η B in the regions of viable leptogenesis in the case of normal hierarchical light neutrino mass spectrum; for the inverted hierarchical spectrum the same result holds for M 1 ≲ 1013 GeV. The considered different scenarios of leptogenesis are testable and falsifiable in low-energy neutrino experiments.
format article
author A. Granelli
K. Moffat
S. T. Petcov
author_facet A. Granelli
K. Moffat
S. T. Petcov
author_sort A. Granelli
title Aspects of high scale leptogenesis with low-energy leptonic CP violation
title_short Aspects of high scale leptogenesis with low-energy leptonic CP violation
title_full Aspects of high scale leptogenesis with low-energy leptonic CP violation
title_fullStr Aspects of high scale leptogenesis with low-energy leptonic CP violation
title_full_unstemmed Aspects of high scale leptogenesis with low-energy leptonic CP violation
title_sort aspects of high scale leptogenesis with low-energy leptonic cp violation
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/78e483b99ad34eab97c8212a4b9641ec
work_keys_str_mv AT agranelli aspectsofhighscaleleptogenesiswithlowenergyleptoniccpviolation
AT kmoffat aspectsofhighscaleleptogenesiswithlowenergyleptoniccpviolation
AT stpetcov aspectsofhighscaleleptogenesiswithlowenergyleptoniccpviolation
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