Predicting theta_13 and the Neutrino Mass Scale from Quark Lepton Mass Hierarchies

Abstract

Flavour symmetries of Froggatt-Nielsen type can naturally reconcile the large quark and charged lepton mass hierarchies and the small quark mixing angles with the observed small neutrino mass hierarchies and their large mixing angles. We point out that such a flavour structure, together with the measured neutrino mass squared differences and mixing angles, strongly constrains yet undetermined parameters of the neutrino sector. Treating unknown O(1) parameters as random variables, we obtain surprisingly accurate predictions for the smallest mixing angle, sin^2(2 theta_13) = 0.07 (+0.11)(-0.05), the smallest neutrino mass, m_1 = 2.2 (+1.7)(-1.4) x 10^-3 eV, and one Majorana phase, alpha_21 / pi = 1.0 (+0.2)(-0.2).

16 pages, 8 figures, 1 table; v3: minor changes, version to appear in JHEP

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• Spontaneous B-L Breaking as the Origin of the Hot Early Universe
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• A radiative model with a naturally mild neutrino mass hierarchy
• The Minimal Flavour Violating Axion
• Repressing Anarchy in Neutrino Mass Textures
• Leptonic Dynamical Yukawa Couplings
• WIMP Dark Matter from Gravitino Decays and Leptogenesis
• A Bayesian comparison of U(1) lepton flavour models
• Neutrino Masses and Hubble Tension via a Majoron in MFV
• Revisiting Minimal Lepton Flavour Violation in the Light of Leptonic CP Violation
• Bilarge Neutrino Mixing and Abelian Flavor Symmetry
• Order and Anarchy hand in hand in 5D SO(10)
• Status of Neutrino Mass and Mixing
• Neutrino textures and charged lepton flavour violation in light of theta13, MEG and LHC data
• Predictive Leptogenesis from Minimal Lepton Flavour Violation
• Baryonic violation of R-parity from anomalous $U(1{)}_H$
• Dark matter production through a non-thermal flavon portal
• Data Driven Flavour Model
• Anarchy and Leptogenesis
• An Overview of Neutrino Mixing
• Fermion mass hierarchies from supersymmetric gauged flavour symmetry in 5D
• Testing the Froggatt-Nielsen Mechanism with Lepton Flavor and Number Violating Processes
• Aspects of Leptonic Flavour Mixing