Covert symmetries in the neutrino mass matrix
arXiv:1910.00576 · doi:10.1007/JHEP02(2020)066
Abstract
The flavour neutrino puzzle is often addressed by considering neutrino mass matrices with a certain number of vanishing entries ( for some values of the indices), since a reduction in the number of free parameters increases the predictive power. Symmetries that can enforce textures zero can also enforce a more general type of conditions with some function of the matrix elements . In this case can have all entries non-vanishing with no reduction in its predictive power. We classify all generation-dependent symmetries which, in the presence of two leptonic Higgs doublets, can reduce the number of independent high-energy parameters of type-I seesaw to the minimum number compatible with non-vanishing neutrino mixings and CP violation. These symmetries are broken above the scale where the effective operator is generated and can thus remain covert, in the sense that no explicit evidence of the symmetry can be read off the neutrino mass matrix, and different symmetries can give rise to the same low-energy structure. We find that only two cases are viable: one yields a structure with two zero-textures already considered in the literature, the other has no zero-textures and has never been considered before. It predicts normal ordering, a lightest neutrino mass meV, a Dirac phase and definite values for the Majorana phases.
arXiv comment23 pages, 2 figures. Accepted for publication in JHEP
References in corpus (39)
- Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
- Pathways to Naturally Small Neutrino Masses
- Status of neutrino oscillations 2018: first hint for normal mass ordering and improved CP sensitivity
- Fermion masses and mixing angles from gauge symmetries
- Mass Matrix Models: The Sequel
- Mass Matrix Models
- Zeroes of the Neutrino Mass Matrix
- Global constraints on absolute neutrino masses and their ordering
- Predictions From A U(2) Flavour Symmetry In Supersymmetric Theories
- Horizontal Symmetries for the Supersymmetric Flavor Problem
- Predictions from an Anomalous U(1) Model of Yukawa Hierarchies
- Flavor Symmetries and The Problem of Squark Degeneracy
- Supersymmetry without R-Parity and without Lepton Number
- Neutrino Mass Ordering from Oscillations and Beyond: 2018 Status and Future Prospects
- Consequences of a U(2) Flavour Symmetry
- Two-zero Textures of the Majorana Neutrino Mass Matrix and Current Experimental Tests
- Unified Theories with U(2) Flavor Symmetry
- Family Symmetry and Neutrino Mixing
- Phenomenology of Two-Texture Zero Neutrino Mass Matrices
- Abelian Flavour Symmetries in Supersymmetric Models
- Implications of the KamLAND Measurement on the Lepton Flavor Mixing Matrix and the Neutrino Mass Matrix
- On The Potential of Minimal Flavour Violation
- Strong Bayesian Evidence for the Normal Neutrino Hierarchy
- Update on two-zero textures of the Majorana neutrino mass matrix in light of recent T2K, Super-Kamiokande and NOA results
- Naturally large Yukawa hierarchies
- Yukawa hierarchies from spontaneous breaking of the $\bma{SU(3)_L\times SU(3)_R}$ flavour symmetry?
- Natural relations among physical observables in the neutrino mass matrix
- flavour symmetries as Peccei-Quinn symmetries
- Revisiting the texture zero neutrino mass matrices
- Neutrino physics from a U(2) flavor symmetry
- Fitting flavour symmetries: the case of two-zero neutrino mass textures
- Quark masses, mixings, and CP violation from spontaneous breaking of flavor
- Formulae for flavour neutrino masses and its application to texture two zeros
- Non anomalous U(1)_H gauge model of flavor
- Can an unbroken flavour symmetry provide an approximate description of lepton masses and mixing?
- CP violation in neutrino mass matrix
- Fermion mass hierarchy and non-hierarchical mass ratios in SU(5) x U(1)_F
- Generalized Froggatt-Nielsen Mechanism
- Neutrino masses in with adjoint flavons