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arXiv · 2105.06237

Modular Origin of Mass Hierarchy: Froggatt-Nielsen like Mechanism

Hitomi Kuranaga·Hiroshi Ohki·Shohei Uemura
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Abstract

We study Froggatt-Nielsen (FN) like flavor models with modular symmetry. The FN mechanism is a convincing solution to the flavor puzzle in quark sector. The FN mechanism requires an extra $U(1)$ gauge symmetry which is broken at high energy. Alternatively, in the framework of modular symmetry the modular weights can play the role of the FN charges of the extra $U(1)$ symmetry. Based on the FN-like mechanism with modular symmetry we present new flavor models for quark sector. Assuming that the three generations have a common representation under modular symmetry, our models simply reproduce the FN-like Yukawa matrices. We also show that the realistic mass hierarchy and mixing angles, which are related each other through the modular parameters and a scalar vev, can be realized in models with several finite modular groups (and their double covering groups) without unnatural hierarchical parameters.

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Hitomi Kuranaga, Hiroshi Ohki, Shohei Uemura. 2021-05-13. Modular Origin of Mass Hierarchy: Froggatt-Nielsen like Mechanism. https://doi.org/10.1007/jhep07(2021)068

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