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Residual flavor symmetry breaking in the landscape of modular flavor models

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arxiv 2206.04313 v2 pith:2KM3C3M2 submitted 2022-06-09 hep-ph hep-th

Residual flavor symmetry breaking in the landscape of modular flavor models

classification hep-ph hep-th
keywords fixedpointsflavormodularmodulibreakingcp-breakinglandscape
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study a symmetry breaking of residual flavor symmetries realized at fixed points of the moduli space. In the supersymmetric modular invariant theories, a small departure of the modulus from fixed points is required to realize fermion mass hierarchies and sizable CP-breaking effects. We investigate whether one can dynamically fix the moduli values in the vicinity of the fixed points in the context of Type IIB string theory. It is found that the string landscape prefers $|\delta \tau| \simeq 10^{-5}$ for the deviation of the complex structure modulus from all fixed points and the CP-breaking vacuum is statistically favored. To illustrate phenomenological implications of distributions of moduli values around fixed points, we analyze the lepton sector on a concrete $A_4$ modular flavor model.

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Cited by 2 Pith papers

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    A finite modular symmetric model generates inflation via a Coleman-Weinberg potential from vector-like quarks, with Im(τ) as inflaton and Re(τ) as heavy axion, matching cosmological observations and predicting possibl...

  2. Two-loop neutrino mass model with modular $S_4$ symmetry

    hep-ph 2026-05 unverdicted novelty 6.0

    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.