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arXiv · 2309.11547

Rising Through the Ranks: Flavor Hierarchies from a Gauged SU(2) Symmetry

Abstract

We propose an economical model to address the mass hierarchies of quarks and charged leptons. The light generations of the left-handed fermions form doublets under an $ \mathrm{SU}(2) $ flavor symmetry, which is gauged. The generational hierarchies emerge from three independent rank-one contributions to the Yukawa matrices: one is a renormalizable contribution, the second is suppressed by a mass ratio, and the last by an additional loop factor. The model is renormalizable and features only a handful of new fields and is remarkably simple compared to typical completions of gauged flavor symmetries or Froggatt-Nielsen. The model has a rich phenomenology, and we highlight promising signatures, especially in the context of $K$ and $B$ meson physics. This includes an interpretation of the latest $B^+ \to K^+ \nu \bar \nu$ measurement from Belle II.

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Admir Greljo, Anders Eller Thomsen. 2023-09-20. Rising Through the Ranks: Flavor Hierarchies from a Gauged SU(2) Symmetry. https://arxiv.org/abs/2309.11547

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