Tri-Bimaximal Lepton Mixing and Leptogenesis

Abstract

In models with flavour symmetries added to the gauge group of the Standard Model the CP-violating asymmetry necessary for leptogenesis may be related with low-energy parameters. A particular case of interest is when the flavour symmetry produces exact Tri-Bimaximal lepton mixing leading to a vanishing CP-violating asymmetry. In this paper we present a model-independent discussion that confirms this always occurs for unflavoured leptogenesis in type I see-saw scenarios, noting however that Tri-Bimaximal mixing does not imply a vanishing asymmetry in general scenarios where there is interplay between type I and other see-saws. We also consider a specific model where the exact Tri-Bimaximal mixing is lifted by corrections that can be parametrised by a small number of degrees of freedom and analyse in detail the existing link between low and high-energy parameters - focusing on how the deviations from Tri-Bimaximal are connected to the parameters governing leptogenesis.

29 pages, 6 figures; version 2: references added, minor corrections

References in corpus (61)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• Leptogenesis
• Phenomenology with Massive Neutrinos
• Flavour Matters in Leptogenesis
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• The golden ratio prediction for the solar neutrino mixing
• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• A model for fermion masses and lepton mixing in SO(10) x A4
• A predictive A4 model, Charged Lepton Hierarchy and Tri-bimaximal Sum Rule
• Status of Oscillation plus Decay of Atmospheric and Long-Baseline Neutrinos
• A model for trimaximal lepton mixing
• Deviation from tri-bimaximal neutrino mixing in A4 flavor symmetry
• Lepton Flavour Violation in Models with A4 Flavour Symmetry
• Suitability of A_4 as a Family Symmetry in Grand Unification
• Flavour-Dependent Leptogenesis with Sequential Dominance
• A4-based tri-bimaximal mixing within inverse and linear seesaw schemes
• Lepton masses, mixings and FCNC in a minimal S_3-invariant extension of the Standard Model
• Predictive flavour symmetries of the neutrino mass matrix
• Fermion masses and mixing in models with SO(10) x A_4 symmetry
• Supersymmetric A_4 X Z_3 and A_4 Realizations of Neutrino Tribimaximal Mixing Without and With Corrections
• Tri-bimaximal Neutrino Mixing from A(4) and θ_{13} \sim θ_C
• A SUSY A4 model for fermion masses and mixings
• Flavor Symmetry for Quarks and Leptons
• Embedding A4 into left-right flavor symmetry: Tribimaximal neutrino mixing and fermion hierarchy
• S_4 Flavor Symmetry Embedded into SU(3) and Lepton Masses and Mixing
• Towards a Complete Theory of Fermion Masses and Mixings with SO(3) Family Symmetry and 5d SO(10) Unification
• Tri-bimaximal neutrino mixing and neutrinoless double beta decay
• Nonzero U_{e3}, CP violation and leptogenesis in a see-saw type softly broken A_4 symmetric model
• Fermion Mass Hierarchies and Flavor Mixing from $T^{\prime }$ Symmetry
• Flavor S_4 times Z_2 symmetry and neutrino mixing
• Majorana Phases and Leptogenesis in See-Saw Models with A_4 Symmetry
• Model of Geometric Neutrino Mixing
• Resonant leptogenesis and tribimaximal leptonic mixing with A4 symmetry
• Solving the SUSY Flavour and CP Problems with SU(3) Family Symmetry
• Neutrino masses and tribimaximal mixing in the minimal renormalizable supersymmetric SU(5) grand unified model with A4 flavor symmetry
• Embedding A4 into SU(3)xU(1) flavor symmetry: Large neutrino mixing and fermion mass hierarchy in SO(10) GUT
• Tri-bimaximal lepton mixing from symmetry only
• Neutrino mixing matrix in the 3-3-1 model with heavy leptons and $A_4$ symmetry
• $T^{{}^{\prime }}$ Predictions of PMNS and CKM Angles
• Soft supersymmetry breaking terms from D4 x Z2 lepton flavor symmetry
• What we (would like to) know about the neutrino mass
• S_3-flavour symmetry as realized in lepton flavour violating processes
• Gauge boson families in grand unified theories of fermion masses: E_6^4 x S_4
• A dynamical approach to link low energy phases with leptogenesis
• Neutrino oscillations: present status and outlook
• Deviation from tri-bimaximal mixing and flavor symmetry breaking in a seesaw type A4 model
• Neutrino Oscillation Parameters After High Statistics KamLAND Results
• Confronting Flavour Symmetries and extended Scalar Sectors with Lepton Flavour Violation Bounds
• Tri-bi-maximal mixing in viable family symmetry unified model with extended seesaw
• $A_4$ Group and Tri-bimaximal Neutrino Mixing -- A Renormalizable Model
• Insensitivity of flavoured leptogenesis to low energy CP violation
• Soft supersymmetry breaking terms from A4 lepton flavor symmetry
• Lectures on Models of Neutrino Masses and Mixings
• Neutrino masses and mixings with an S3 family permutation symmetry
• A_4 Symmetry and Lepton Masses and Mixing
• Theory of the Neutrino Mass
• The flavor problem and discrete symmetries
• Bilarge neutrino mixing in R-parity violating supersymmetry: the role of right-chiral neutrino superfields
• Neutrino tri-bi-maximal mixing through sequential dominance
• Tribimaximal mixing and leptogenesis in a seesaw model
• Renormalizable $A_4$ Model for Lepton Sector

Cited by in corpus (58)

• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Leptonic CP violation
• A review of mu-tau flavor symmetry in neutrino physics
• Trimaximal mixing with predicted θ_13 from a new type of constrained sequential dominance
• Towards a complete $A_4\times SU(5)$ SUSY GUT
• The minimal scenario of leptogenesis
• Fermion Masses and Flavor Mixings in a Model with $S_4$ Flavor Symmetry
• Minimal flavour violation extensions of the seesaw
• Ultraviolet Completion of Flavour Models
• Nonzero ${\theta }_{13}$ and Leptogenesis in a Type-I See-saw Model with $A_4$ Symmetry
• The minimal seesaw and leptogenesis models
• Flavor and CP symmetries for leptogenesis and 0nubb decay
• CP Violation in the Lepton Sector and Implications for Leptogenesis
• Spontaneous leptonic CP violation and nonzero ${\theta }_{13}$
• Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry
• Running Effects on Lepton Mixing Angles in Flavour Models with Type I Seesaw
• Lepton Flavor Violation in Models with $A_4$ and $S_4$ Flavor Symmetries
• A Model for Tri-bimaximal Mixing from a Completely Broken $A_4$
• Dynamical Minimal Flavour Violating Inverse Seesaw
• Neutrino Masses and Hubble Tension via a Majoron in MFV
• Revisiting Minimal Lepton Flavour Violation in the Light of Leptonic CP Violation
• Discrete symmetries and models of flavor mixing
• Leptogenesis in flavor models with type I and II seesaws
• Spontaneous CP Violation in $A_4$ Flavor Symmetry and Leptogenesis
• Tri-Bimaximal Neutrino Mixing and the $T_{13}$ Flavor Symmetry
• On the Vanishing of the CP Asymmetry in Leptogenesis due to Form Dominance
• Spontaneous CP Violation in Lepton-sector: a common origin for ${\theta }_{13}$, Dirac CP phase and leptogenesis
• Constraints on leptogenesis from a symmetry viewpoint
• Minimal lepton flavor violating realizations of minimal seesaw models
• Charged Lepton Flavour Violating Radiative Decays ${\ell }_i\to {\ell }_j+\gamma$ in See-Saw Models with $A_4$ Symmetry
• Mu-tau reflection symmetry with a high scale texture-zero
• Leptonic mixing, family symmetries, and neutrino phenomenology
• Deviations from Tri-Bimaximality and Quark-Lepton Complementarity
• Vacuum misalignment corrections to tri-bimaximal mixing and form dominance
• Trimaximal lepton mixing with a trivial Dirac phase
• Renormalisation group improved leptogenesis in family symmetry models
• Reactor mixing angle from hybrid neutrino masses
• Common origin of ${\theta }_{13}$ and dark matter within the flavor symmetric scoto-seesaw framework
• Predictive Leptogenesis from Minimal Lepton Flavour Violation
• Rare muon and tau decays in A4 Models
• Flavor Delta(54) in SU(5) SUSY Model
• Phenomenology of Discrete Flavour Symmetries
• Low-scale leptogenesis with flavour and CP symmetries
• The role of lepton flavor symmetries in leptogenesis
• (Z_2)^3 Symmetry of the Tripartite Model
• Testing constrained sequential dominance models of neutrinos
• Bimaximal Neutrino Mixing with Discrete Flavour Symmetries
• Neutrinos and the matter-antimatter asymmetry in the Universe
• Non-zero ${\theta }_{13}$ from the Triangular Ansatz and Leptogenesis
• Cascade Textures and SUSY SO(10) GUT
• Leptogenesis in the presence of exact flavor symmetries
• The Dark Side of ${\theta }_{13}$, ${\delta }_{CP}$, Leptogenesis and Inflation in Type-I Seesaw
• Leptogenesis constraints from flavour symmetry induced lepton mixing
• Lepton mixing induced by flavour symmetry and Leptogenesis constraints
• A Bottom-Up Approach: The Data Driven Flavour Model
• $TeV$-Scale Resonant Leptogenesis $A_4$ with a scaling texture
• Neutrino Masses and Mixings from Continuous Symmetries
• $TeV$-Scale Resonant Leptogenesis with New Scaling Ansatz on Neutrino Dirac Mass Matrix from $A_4$ Flavor Symmetry