Cosmological Family Asymmetry and CP violation

Abstract

We discuss how the cosmological baryon asymmetry can be achieved by the lepton family asymmetries of heavy Majorana neutrino decays and they are related to CP violation in neutrino oscillation, in the minimal seesaw model with two heavy Majorana neutrinos. We derive the most general formula for CP violation in neutrino oscillation in terms of the heavy Majorana masses and Yukawa mass term. It is shown that the formula is very useful to classify several models in which $e-$, $\mu -$ and $\tau -$leptogenesis can be separately realized and to see how they are connected with low energy CP violaton. To make the models predictive, we take texture with two zeros in the Dirac neutrino Yukawa matrix. In particular, we find some interesting cases in which CP violation in neutrino oscillation can happen while lepton family asymmetries do not exist at all. On the contrary, we can find $e-$, $\mu -$ and $\tau -$leptogenesis scenarios in which the cosmological CP violation and low energy CP violation measurable via neutrino oscillations are very closely related to each other. By determining the allowed ranges of the parameters in the models, we predict the sizes of CP violation in neutrino oscillation and $|V_{e3}^{MNS}|$. Finally, the leptonic unitarity triangles are reconstructed.

22 pages, 9 figures A figure caption corrected

References in corpus (12)

• Leptogenesis for Pedestrians
• CP violating decays in leptogenesis scenarios
• Cosmological Sign of Neutrino CP Violation
• CP violation in neutrino oscillation and leptogenesis
• A Bridge between CP violation at Low Energies and Leptogenesis
• Primordial Lepton Family Asymmtries in Seesaw Model
• Three-Neutrino Mixing after the First Results from K2K and KamLAND
• Leptogenesis and $\mu -\tau$ symmetry
• Calculable CP-violating Phases in the Minimal Seesaw Model of Leptogenesis and Neutrino Mixing
• The Majorana Neutrino Mass Matrix with One Texture Zero and One Vanishing Eigenvalue
• Lepton Flavour Mixing Matrix and CP Violation from Neutrino Oscillation Experiments
• CP Violation in Seesaw Model

Cited by in corpus (45)

• The importance of flavor in leptogenesis
• Flavour Issues in Leptogenesis
• Flavour physics of leptons and dipole moments
• Flavour Matters in Leptogenesis
• Flavor structures of charged fermions and massive neutrinos
• Flavor effects on leptogenesis predictions
• Leptogenesis in the Universe
• Flavour-Dependent Leptogenesis with Sequential Dominance
• CP violation in scatterings, three body processes and the Boltzmann equations for leptogenesis
• Resonant leptogenesis and tribimaximal leptonic mixing with A4 symmetry
• Flavor symmetries, leptogenesis and the absolute neutrino mass scale
• Towards constraints on the SUSY seesaw from flavour-dependent leptogenesis
• Leptonic CP violation: zero, maximal or between the two extremes
• The minimal seesaw and leptogenesis models
• Low and High Energy Phenomenology of Quark-Lepton Complementarity Scenarios
• Four Zero Neutrino Yukawa Textures in the Minimal Seesaw Framework
• Non-zero U_{e3} and TeV-Leptogenesis through A_4 symmetry breaking
• Deviations from Tri-bimaximal Neutrino Mixing in Type-II Seesaw and Leptogenesis
• A dynamical approach to link low energy phases with leptogenesis
• Purely Flavored Leptogenesis
• Insensitivity of flavoured leptogenesis to low energy CP violation
• Leptogenesis from Soft Supersymmetry Breaking (Soft Leptogenesis)
• Flavour-Dependent Type II Leptogenesis
• A direct link between neutrinoless double beta decay and leptogenesis in a seesaw model with $S_4$ symmetry
• Leptonic Unitarity Triangles
• Theoretical Overview of Neutrino Properties
• Flavoured Soft Leptogenesis
• Variations on leptogenesis
• Neutrino Mixing and Leptogenesis in Type-II Seesaw Scenarios with Left-Right Symmetry
• Lepton Flavor Equilibration and Leptogenesis
• Building the full PMNS Matrix from six independent Majorana-type phases
• On Quantum Effects in Soft Leptogenesis
• Early Universe effective theories: The Soft Leptogenesis and R-Genesis Cases
• Leptogenesis and low energy CP phases with two heavy neutrinos
• Low scale Seesaw model and Lepton Flavor Violating Rare B Decays
• Simiplified textures of the seesaw model for the trimaximal neutrino mixings
• The role of lepton flavor symmetries in leptogenesis
• Leptogenesis in a seesaw model with Fritzsch type lepton mass matrices
• Leptogenesis implications in models with Abelian family symmetry and one extra real Higgs singlet
• Hidden relations in three generation seesaw model with Dirac mass matrix of four-zero texture
• Leptogenesis and Low-energy Observables
• Leptonic CP Violation and Leptogenesis
• Correlations between low energy leptonic CP violation and leptogenesis in the light of recent experiments
• Neutrino Physics and CP violation
• Exact parametrization of a minimal seesaw model