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.
Xing,Flavor structures of charged fermions and massive neutrinos,Phys
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SU(2)_F bosons in a U(2)_F flavor model induce unsuppressed flavor-violating couplings, with K to pi X and mu to e X constraining the breaking scale v_phi to 10^11-10^12 GeV for light bosons and other processes constraining heavier states.
A double right-handed U(1) gauge extension generates the Standard Model fermion mass hierarchy at tree and loop levels and stabilizes a viable scalar singlet dark matter particle consistent with relic density and direct detection bounds.
Mu-tau interchange symmetry in the lepton mixing matrix leads to a potential divergence when tracing individual muon and tau neutrino fractions from astrophysical sources, so that only their sum plus the electron fraction can be extracted in the exact symmetry limit.
Two-zero textures in the neutrino mass matrix produce distinctive, testable correlations among charged lepton flavor violation processes, with some patterns suppressing muon-to-electron transitions while permitting tau decays at observable rates down to a 5-6 TeV cutoff.
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.
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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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Physical implications of a double right-handed gauge symmetry
A double right-handed U(1) gauge extension generates the Standard Model fermion mass hierarchy at tree and loop levels and stabilizes a viable scalar singlet dark matter particle consistent with relic density and direct detection bounds.
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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.