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Modular $S_3$ invariant flavor model in SU(5) GUT

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arxiv 1906.10341 v6 pith:EC24DPH3 submitted 2019-06-25 hep-ph

Tatsuo Kobayashi , Yusuke Shimizu , Kenta Takagi , Morimitsu Tanimoto , Takuya H. Tatsuishi This is my paper · ORCID
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abstract

We present a flavor model with the $S_3$ modular invariance in the framework of SU(5) GUT. The $S_3$ modular forms of weights $2$ and $4$ give the quark and lepton mass matrices with a common complex parameter, the modulus $\tau$. The GUT relation of down-type quarks and charged leptons is imposed by the VEV of adjoint 24-dimensional Higgs multiplet in addition to the VEVs of $5$ and $\bar 5$ Higgs multiples of SU(5). The observed CKM and PMNS mixing parameters as well as the mass eigenvalues are reproduced properly. We discuss the leptonic CP phase and the effective mass of the neutrinoless double beta decay with the sum of neutrino masses.

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Cited by 1 Pith paper

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  1. Modulus stabilization of modular flavor models in Jordan frame supergravity

    hep-ph 2026-01 conditional novelty 6.0 of 10

    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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