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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

Keiya Ishiguro , Hiroshi Okada , Hajime Otsuka This is my paper · ORCID
classification hep-phhep-th
keywords fixedpointsflavormodularmodulibreakingcp-breakinglandscape
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abstract

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 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Stringy Constraints on Modular Flavor Models

    hep-ph 2025-08 conditional novelty 6.0 of 10

    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.

  2. Large and small hierarchies from finite modular symmetries

    hep-ph 2024-12 conditional novelty 6.0 of 10

    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.

  3. Modular Symmetry with Weighton

    hep-ph 2025-05 conditional novelty 5.0 of 10

    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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