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.
The symmetry approach to quark and lepton masses and mixing
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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.
A two-loop neutrino mass model with modular S4 and Z3 symmetries reproduces charged lepton masses and normal-ordering neutrino data while predicting observable LFV and viable DM candidates.
A model with μ-τ reflection symmetry from A4 predicts sin²θ12 ≳ 0.335 which is disfavored by JUNO results, leaving a surviving scenario with testable correlations to model parameters.
JUNO data strongly disfavors Dirac neutrino texture zero pattern C, leaving only patterns A1 and A2 compatible with current oscillation observables.
citing papers explorer
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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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Two-loop neutrino mass model with modular $S_4$ symmetry
A two-loop neutrino mass model with modular S4 and Z3 symmetries reproduces charged lepton masses and normal-ordering neutrino data while predicting observable LFV and viable DM candidates.
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Fate of $\theta_{12}$ under $\mu-\tau$ Reflection Symmetry in Light of the First JUNO Results
A model with μ-τ reflection symmetry from A4 predicts sin²θ12 ≳ 0.335 which is disfavored by JUNO results, leaving a surviving scenario with testable correlations to model parameters.
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Implications of the First JUNO Results for Dirac Neutrino Texture Zeros
JUNO data strongly disfavors Dirac neutrino texture zero pattern C, leaving only patterns A1 and A2 compatible with current oscillation observables.
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