Asymmetric tri-bi-maximal mixing and residual symmetries

Abstract

Asymmetric tri-bi-maximal mixing is a recently proposed, grand unified theory (GUT) based, flavor mixing scheme. In it, the charged lepton mixing is fixed by the GUT connection to down-type quarks and a ${\mathcal{T}}_{13}$ flavor symmetry, while neutrino mixing is assumed to be tri-bi-maximal (TBM) with one additional free phase. Here we show that this additional free phase can be fixed by the residual flavor and CP symmetries of the effective neutrino mass matrix. We discuss how those residual symmetries can be unified with ${\mathcal{T}}_{13}$ and identify the smallest possible unified flavor symmetries, namely $({\mathbb{Z}}_{13}\times {\mathbb{Z}}_{13})⋊{\mathrm{D}}_{12}$ and $({\mathbb{Z}}_{13}\times {\mathbb{Z}}_{13})⋊{\mathrm{S}}_4$. Sharp predictions are obtained for lepton mixing angles, CP violating phases and neutrinoless double beta decay.

arXiv comment16 pages, 7 figures, 2 tables

References in corpus (32)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• Status of neutrino oscillations 2018: first hint for normal mass ordering and improved CP sensitivity
• Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• Running Neutrino Masses, Mixings and CP Phases: Analytical Results and Phenomenological Consequences
• Lepton mixing and discrete symmetries
• Neutrino Mixing and Quark-Lepton Complementarity
• Relation between the neutrino and quark mixing angles and grand unification
• CP and Discrete Flavour Symmetries
• Symmetry of Lepton Mixing
• On Deviations from Bimaximal Neutrino Mixing
• CP Violation from Finite Groups
• Neutrino Mass Matrix from S_4 Symmetry
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• Is S4 the horizontal symmetry of tri-bimaximal lepton mixing?
• Cabibbo Haze in Lepton Mixing
• Symmetrical Parametrizations of the Lepton Mixing Matrix
• Deviation of Neutrino Mixing from Bi-maximal
• Large U_{e3} and Tri-bimaximal Mixing
• An Asymmetric TBM Texture
• T(13) Flavor Symmetry and Decaying Dark Matter
• Viewing Lepton Mixing through the Cabibbo Haze
• Tri-Bimaximal Neutrino Mixing and the $T_{13}$ Flavor Symmetry
• Neutrino Mixing and the Frobenius Group T13
• Stitching an Asymmetric Texture with ${\mathcal{T}}_{13}\times {\mathcal{Z}}_5$ Family Symmetry
• The Frobenius group T13 and the canonical see-saw mechanism applied to neutrino mixing
• ${\theta }_{13}^{}$ and The Flavor Ring
• CP Symmetries as Guiding Posts: Revamping Tri-Bi-Maximal Mixing-I
• Majorana Physics Through the Cabibbo Haze

Cited by in corpus (3)

• The symmetry approach to quark and lepton masses and mixing
• Low-scale Resonant Leptogenesis in $SU(5)$ GUT with ${\mathcal{T}}_{13}$ Family Symmetry
• Constraining Low-Scale Flavor Models with $(\mathbf{g}-2{)}_{\mathbf{\mu }}$ and Lepton Flavor Violation