Predictive Dirac and Majorana Neutrino Mass Textures from $SU(6)$ Grand Unified Theories

Abstract

We present simple and predictive realizations of neutrino masses in theories based on the $SU(6)$ grand unifying group. At the level of the lowest-dimension operators, this class of models predicts a skew-symmetric flavor structure for the Dirac mass term of the neutrinos. In the case that neutrinos are Dirac particles, the lowest-order prediction of this construction is then one massless neutrino and two degenerate massive neutrinos. Higher-dimensional operators suppressed by the Planck scale perturb this spectrum, allowing a good fit to the observed neutrino mass matrix. A firm prediction of this construction is an inverted neutrino mass spectrum with the lightest neutrino hierarchically lighter than the other two, so that the sum of neutrino masses lies close to the lower bound for an inverted hierarchy. In the alternate case that neutrinos are Majorana particles, the mass spectrum can be either normal or inverted. However, the lightest neutrino is once again hierarchically lighter than the other two, so that the sum of neutrino masses is predicted to lie close to the corresponding lower bound for the normal or inverted hierarchy. Near future cosmological measurements will be able to test the predictions of this scenario for the sum of neutrino masses. In the case of Majorana neutrinos that exhibit an inverted hierarchy, future neutrinoless double beta experiments can provide a complementary probe.

arXiv comment27 pages, 3 figures

References in corpus (21)

• The Simons Observatory: Science goals and forecasts
• The DESI Experiment Part I: Science,Targeting, and Survey Design
• Cosmology and Fundamental Physics with the Euclid Satellite
• LSST Science Book, Version 2.0
• Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
• Neutrinoless Double-Beta Decay: Status and Prospects
• Theory of Neutrinos: A White Paper
• CMB-S4 Science Case, Reference Design, and Project Plan
• Hyper-Kamiokande Design Report
• Constraint on the Matter-Antimatter Symmetry-Violating Phase in Neutrino Oscillations
• The Large Enriched Germanium Experiment for Neutrinoless Double Beta Decay (LEGEND)
• Majorana Neutrinos, Neutrino Mass Spectrum, CP-Violation and Neutrinoless Double Beta-Decay: I. The Three-Neutrino Mixing Case
• Sensitivity and discovery potential of the proposed nEXO experiment to neutrinoless double beta decay
• Signal of neutrinoless double beta decay, neutrino spectrum and oscillation scenarios
• Determining the neutrino mass with Cyclotron Radiation Emission Spectroscopy - Project 8
• Neutrino Mass Hierarchy
• Flavour in supersymmetric Grand Unification: a democratic approach
• SUSY SU(6) GIFT for doublet-triplet splitting and fermion masses
• The Sliding-singlet Mechanism Revived
• $SU(3{)}_C\times SU(3{)}_L\times U(1{)}_X$ model from $SU(6)$
• Doublet-Triplet Splitting in Supersymmetric SU(6) by Missing VEV Mechanism

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