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Neutrino Mass Anarchy
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What is the form of the neutrino mass matrix which governs the oscillations of the atmospheric and solar neutrinos? Features of the data have led to a dominant viewpoint where the mass matrix has an ordered, regulated pattern, perhaps dictated by a flavor symmetry. We challenge this viewpoint, and demonstrate that the data are well accounted for by a neutrino mass matrix which appears to have random entries.
Forward citations
Cited by 5 Pith papers
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Radiative Mass Generation in Gauged Theories of Flavour: A Path to Fermion Mass Hierarchies
Fermion mass hierarchies can arise because only the third generation gets tree-level mass, with first and second generation masses generated by gauge-boson loops in specific UV-complete models.
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Exploring the flavor structure of leptons via diffusion models
Applies diffusion models to generate 10,000 neutrino mass matrices consistent with oscillation parameters in a seesaw model, revealing non-trivial distributions in CP phases and 0νββ effective mass.
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The Fundaments of Unity: ${\mathcal O}(1)$ Couplings in Quantum Field Theories
Modeling O(1) couplings as IID random variables yields a spread distribution with fat power-law tails that widen with the number of couplings, including a 0.29 probability of spread exceeding 100 for 20 unit-normal draws.
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The Future of Lepton Flavor
Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.
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Quark and lepton masses
A review of fermion mass and mixing data and of the main theoretical attempts to explain them, from GUTs to string theory, without claiming a new result.
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