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Fermion mass hierarchies and small mixing angles from extra dimensions

2000/08/31 by Masako Bando, Tatsuo Kobayashi, Tatsuya Noguchi +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1103/physrevd.63.113017

published as Phys.Rev. D63 (2001) 113017 · 23 pages, 7 figures, LaTeX, a supplementary explanation and references added

arxiv created 2001/01/19 · openalex publication_date 2001/05/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study renormalization-group evolutions of Yukawa matrices enhanced by Kaluza-Klein excited modes and analyze their infrared fixed-point structure. We derive the necessary conditions to obtain hierarchies between generations on the fixed point. These conditions restrict how the fields in the models can extend to higher dimensions. Several specific mechanisms to realize the conditions are presented. We also take into account the generation mixing effects and find a scenario where the mixing angles become small at low energy even with large initial values at a high-energy scale. A toy model is shown to lead to realistic quark mass matrices.

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