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Modular flavor symmetric models
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abstract
We review the modular flavor symmetric models of quarks and leptons focusing on our works. We present some flavor models of quarks and leptons by using finite modular groups and discuss the phenomenological implications. The modular flavor symmetry gives interesting phenomena at the fixed point of modulus. As a representative, we show the successful texture structure at the fixed point $\tau = \omega$. We also study CP violation, which occurs through the modulus stabilization. Finally, we study SMEFT with modular flavor symmetry by including higher dimensional operators.
Forward citations
Cited by 14 Pith papers
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Moduli-Space Laplacians, Asymptotic Geometry, and the Emergent String Conjecture
Under the Emergent String Conjecture, the logarithm of any principal tower mass has a moduli-space Laplacian eigenvalue quantized to N/(D-d) for KK towers and N/2 for string oscillators, equal to the instanton-weighte...
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Lepton mixing from the $\Delta(96)$ Modular Littlest Seesaw
An exhaustive scan of Δ(96) Modular Littlest Seesaw models yields 35 viable residual-symmetry patterns with new fixed PMNS columns and sharp, testable predictions beyond TM1.
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Modulus stabilization of modular flavor models in Jordan frame supergravity
Non-minimal scalar-curvature coupling reshapes the modulus potential, allowing stabilization at i∞ or at CP-breaking points in modular flavor models.
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Stringy Constraints on Modular Flavor Models
Heterotic one-loop threshold corrections imply upper bounds on the modulus in modular flavor models, ruling out tau near i infinity for typical dilaton and beta-function values and disfavoring tau = i at large volume.
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Modular Flavor Symmetries and Fermion Mass Hierarchies
In modular flavor models, fermion mass hierarchies require the modulus to sit near the critical points i, i∞, or ω; the paper classifies the near-critical mass patterns for reducible 2⊕1 matter assignments.
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Flavor Symmetries and Winding Modes
In the Z3 heterotic orbifold, the modular symmetry of the Kähler modulus is Gamma(3), and the discrete flavor symmetry Delta(27) arises from misaligned U(1) gauge symmetries that become massless at different critical points.
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Lepton mass textures from non-invertible multiplication rules
Z2-gauged ZM symmetries generate a limited but novel set of lepton mass matrix textures, some unobtainable from any group symmetry, and selected textures fit charged lepton masses and neutrino oscillation data.
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Leptonic Flavor from Modular $A_4$: UV Mediators and SMEFT Realizations
This paper classifies lepton-coupled UV mediators under modular A4 symmetry and derives experimental lower bounds on their masses from lepton flavor observables.
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Flavor and CP Symmetries in the Standard Model Effective Field Theory
A CP classification of dimension-six and dimension-eight SMEFT operators is combined with minimal flavor violation to reduce independent CP-violating Wilson coefficient phases to 26 and 655 respectively.
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Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry
Three S3-modular Pati-Salam benchmark models fit 16 fermion mass and mixing observables and predict testable neutrino masses, Majorana phases, and neutrinoless double-beta decay rates.
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Large and small hierarchies from finite modular symmetries
Using finite modular symmetries, radiative stabilization of multiple moduli can simultaneously generate large and small hierarchies, such as Im τ1 ≈ 3 and Im τ2 ≈ 15.
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Generation structures and Yukawa couplings in magnetized $T^{2g}/\mathbb{Z}_N$ models
The paper constructs zero-mode wave functions for all chiralities on non-factorizable magnetized T^{2g} and uses them to exhibit three-generation spectra in T^{2g}/Z_N orbifold models.
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Modular Symmetry with Weighton
A systematic classification of modular weighton models at levels 3, 4 and 5, with two T' benchmark fits that reproduce quark and lepton hierarchies, each requiring one admitted cancellation.
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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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