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CP violation in neutrino oscillation and leptogenesis
High Energy Physics - Phenomenology · Submitted 3 Sep 2002
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show how the heavy Majorana phase contributes to Jarlskog determinant $J$ as well as neutrinoless double $\beta$ decay by identifying a low energy CP violating phase which signals the CP violating phase for leptogenesis.
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The abstract, sentence by sentence
We study the correlation between CP violation in neutrino oscillations and leptogenesis in the framework with two heavy Majorana neutrinos and three light neutrinos. Among three unremovable CP phases, a heavy Majorana phase contributes to leptogenesis. We show how the heavy Majorana phase contributes to Jarlskog determinant $J$ as well as neutrinoless double $\beta$ decay by identifying a low energy CP violating phase which signals the CP violating phase for leptogenesis. For some specific cases of the Dirac mass term of neutrinos, a direct relation between lepton number asymmetry and $J$ is obtained. For the most general case of the framework, we study the effect on $ J $ coming from the phases which are not related to leptogenesis, and also show how the correlation can be lost in the presence of those phases.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the correlation between CP violation in neutrino oscillations and leptogenesis in the framework with two heavy Majorana neutrinos and three light neutrinos. | contribution 0.98 | 0.87 | 0.07 | asserted 0.72 |
| s1 | Among three unremovable CP phases, a heavy Majorana phase contributes to leptogenesis. | result 0.90 | 0.46 | 0.13 | asserted 1.00 |
| s2 | We show how the heavy Majorana phase contributes to Jarlskog determinant $J$ as well as neutrinoless double $\beta$ decay by identifying a low energy CP violating phase which signals the CP violating phase for leptogenesis. | contribution 0.65 | 0.92 | 0.31 | asserted 1.00 |
| s3 | For some specific cases of the Dirac mass term of neutrinos, a direct relation between lepton number asymmetry and $J$ is obtained. | result 0.99 | 0.91 | 0.24 | asserted 0.99 |
| s4 | For the most general case of the framework, we study the effect on $ J $ coming from the phases which are not related to leptogenesis, and also show how the correlation can be lost in the presence of those phases. | contribution 0.56 | 0.93 | 0.17 | asserted 1.00 |
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The paper
Original abstract
We study the correlation between CP violation in neutrino oscillations and leptogenesis in the framework with two heavy Majorana neutrinos and three light neutrinos. Among three unremovable CP phases, a heavy Majorana phase contributes to leptogenesis. We show how the heavy Majorana phase contributes to Jarlskog determinant $J$ as well as neutrinoless double $\beta$ decay by identifying a low energy CP violating phase which signals the CP violating phase for leptogenesis. For some specific cases of the Dirac mass term of neutrinos, a direct relation between lepton number asymmetry and $J$ is obtained. For the most general case of the framework, we study the effect on $ J $ coming from the phases which are not related to leptogenesis, and also show how the correlation can be lost in the presence of those phases.
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References
How the literature uses it
31 arXiv papers cite this in 32 sentences
Papers citing it · 19 sentences without a confident label
Cites it as support 3 papers
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This complies with the fact that successful leptogenesis in the seesaw model does require two right-handed neutrinos, but not necessarily more [ref] (see also [ref] ).
Minimal Seesaw Model with a Discrete Heavy-Neutrino Exchange Symmetry · Introduction: Seeking the most minimal realization of the type-I seesaw model · 0.99
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This observation allows us to conclude that our scenario is compatible with the concept of leptogenesis from low-energy $CP$ violation [ref] .
Type-I Seesaw as the Common Origin of Neutrino Mass, Baryon Asymmetry, and the Electroweak Scale · Numerical parameter scan · 0.98
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Likewise, leptogenesis calls for two right-handed neutrinos, but not necessarily more [ref] .
Perturbed Yukawa Textures in the Minimal Seesaw Model · Intro: Possible lessons from measuring leptonic CP violation? · 0.96
Cites it as background 9 papers
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In this paper, we consider multiple texture zeroes of $M_ν$ [ref] as well as symmetries like the $μ-τ$ exchange [ref] and $S_3$ permutation [ref] , which predict certain relations between the elements of $M_ν$.
Texture zeroes and discrete flavor symmetries in light and heavy Majorana neutrino mass matrices: a bottom-up approach · Introduction · 0.90
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The minimal seesaw scenario is a simplified version of the canonical seesaw mechanism which contains only two right-handed neutrino fields [ref] and thus involves only 11 original flavor parameters (i.e., 2 heavy neutrino masses, 6 active-sterile flavor mixing angles and 3 independent CP-violating phases [ref] ).
Confronting the seesaw mechanism with neutrino oscillations: a general and explicit analytical bridge · Results for the minimal seesaw scenario · 0.97
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Seeking a potential connection between low-energy CP violation and leptogenesis has been a subject of intense investigation for over two decades (e.g., [ref] ).
Leptogenesis from the Dirac CP-violating phase in the minimal left-right symmetric model · Introduction · 0.96
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