Neutrino Mixing and Masses from a Minimum Principle

Abstract

We analyze the structure of quark and lepton mass matrices under the hypothesis that they are determined from a minimum principle applied to a generic potential invariant under the ${\left[SU(3)\right]}^5\otimes \mathcal{O}(3)$ flavor symmetry, acting on Standard Model fermions and right-handed neutrinos. Unlike the quark case, we show that hierarchical masses for charged leptons are naturally accompanied by degenerate Majorana neutrinos with one mixing angle close to maximal, a second potentially large, a third one necessarily small, and one maximal relative Majorana phase. Adding small perturbations the predicted structure for the neutrino mass matrix is in excellent agreement with present observations and could be tested in the near future via neutrino-less double beta decay and cosmological measurements. The generalization of these results to arbitrary sew-saw models is also discussed.

Journal version; corrections on the discussion of one of the Majorana phases and other precisions added

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• 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
• Fermion masses, critical behavior and universality
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• Spontaneous breaking of $SO(3)$ to finite family symmetries with supersymmetry - an $A_4$ model
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• Dynamical flavor origin of ${\mathbb{Z}}_N$ symmetries
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• The Flavor-locked Flavorful Two Higgs Doublet Model
• Predictive Leptogenesis from Minimal Lepton Flavour Violation
• A New bound on CP Violation in the $\tau$ Lepton Yukawa Coupling and electroweak baryogenesis
• Walls, bubbles and doom -- the cosmology of HEFT
• Data Driven Flavour Model
• Constraining $A_4$ Leptonic Flavour Model Parameters at Colliders and Beyond
• Lepton-flavour violation in a Pati-Salam model with gauged flavour symmetry
• Standard model flavor from an $SU(2)$ symmetry
• Low-scale Leptogenesis with Minimal Lepton Flavour Violation
• Flavor hierarchies with nonminimal irreducible representations