One-parameter modular models predict exact high-scale mass relations m_s^5 = 2√2 m_d^3 m_b^2, m_μ^3 = √2 m_e m_τ^2 and m_s^2 m_τ = √2 m_e m_b^2 that become compatible with observed fermion masses after RG evolution and SUSY thresholds.
Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The current status of our knowledge of the 3-neutrino mixing parameters and of the CP violation in the lepton sector is summarised. The discrete symmetry approach to understanding the observed pattern of neutrino mixing and the related predictions for neutrino mixing angles and leptonic Dirac CP violation are reviewed.
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A benchmark model using genus-2 modular invariance generates quark mass hierarchies and CP violation via moduli VEVs near invariant points, with mass ratios vanishing in the symmetric limit and mixing angles reproduced.
36 viable non-holomorphic S'4 modular models for leptons are identified via numerical scans, with two yielding successful unflavored thermal leptogenesis from the real part of τ while fitting neutrino data.
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.
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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Fermion mass relations in one-parameter modular models
One-parameter modular models predict exact high-scale mass relations m_s^5 = 2√2 m_d^3 m_b^2, m_μ^3 = √2 m_e m_τ^2 and m_s^2 m_τ = √2 m_e m_b^2 that become compatible with observed fermion masses after RG evolution and SUSY thresholds.
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Quark hierarchies and CP violation from the Siegel modular group
A benchmark model using genus-2 modular invariance generates quark mass hierarchies and CP violation via moduli VEVs near invariant points, with mass ratios vanishing in the symmetric limit and mixing angles reproduced.
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Non-holomorphic $S^{\prime}_{4}$ modular symmetry for leptons and leptogenesis
36 viable non-holomorphic S'4 modular models for leptons are identified via numerical scans, with two yielding successful unflavored thermal leptogenesis from the real part of τ while fitting neutrino data.
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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 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.