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
12 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
Most of the free parameters in the Standard Model (SM) -- a quantum field theory which has successfully elucidated the behaviors of strong, weak and electromagnetic interactions of all the known fundamental particles, come from the lepton and quark flavors. The discovery of neutrino oscillations has proved that the SM is incomplete, at least in its lepton sector; and thus the door of opportunity is opened to exploring new physics beyond the SM and solving a number of flavor puzzles. In this review article we give an overview of important progress made in understanding the mass spectra, flavor mixing patterns, CP-violating effects and underlying flavor structures of charged leptons, neutrinos and quarks in the past twenty years. After introducing the standard pictures of fermion mass generation, flavor mixing and CP violation in the SM extended with the presence of massive Dirac or Majorana neutrinos, we briefly summarize current experimental knowledge about the flavor parameters of quarks and leptons. Various ways of describing flavor mixing and CP violation are discussed, the renormalization-group evolution of flavor parameters is illuminated, and the matter effects on neutrino oscillations are interpreted. Taking account of possible extra neutrino species, we propose a standard parametrization of the $6\times 6$ flavor mixing matrix and comment on the phenomenological aspects of heavy, keV-scale and light sterile neutrinos. We pay particular attention to those novel and essentially model-independent ideas or approaches regarding how to determine the Yukawa textures of Dirac fermions and the effective mass matrix of Majorana neutrinos, including simple discrete and continuous flavor symmetries. An outlook to the future development in unravelling the mysteries of flavor structures is also given.
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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.
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 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.
A cuboid mass ansatz that sets mass angles equal to mixing angles predicts a nearly degenerate normal spectrum whose deviations from tribimaximal mixing are fixed by the observed mass-squared ratio.
A family-separated solution to the exact seesaw equation yields per-family relations between light and heavy Majorana neutrino parameters.
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.
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.
A novel μ-τ counter reflection symmetry is proposed for the neutrino mass matrix to accommodate inverted hierarchy, realizable within a minimal Δ(27) framework.
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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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.
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Non-holomorphic $S^{\prime}_{4}$ modular symmetry for leptons and leptogenesis
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Physical implications of a double right-handed gauge symmetry
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Neutrino cuboid for normal mass ordering and tribimaximal flavor mixing
A cuboid mass ansatz that sets mass angles equal to mixing angles predicts a nearly degenerate normal spectrum whose deviations from tribimaximal mixing are fixed by the observed mass-squared ratio.
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Family-separated seesaw relations of Majorana neutrinos
A family-separated solution to the exact seesaw equation yields per-family relations between light and heavy Majorana neutrino parameters.
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Potential divergence in tracing $\mu$ and $\tau$ flavors of astrophysical neutrinos
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.
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Hunting for Neutrino Texture Zeros with Muon and Tau Flavor Violation
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.
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The Future of Lepton Flavor
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The $\mu-\tau$ Counter Reflection Symmetry
A novel μ-τ counter reflection symmetry is proposed for the neutrino mass matrix to accommodate inverted hierarchy, realizable within a minimal Δ(27) framework.
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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.