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arXiv · 1602.01994

Yukawa couplings in 6D gauge-Higgs unification on $T^2/Z_N$ with magnetic fluxes

Yoshio Matsumoto·Yutaka Sakamura
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Abstract

We discuss the Yukawa couplings in 6D gauge-Higgs unification models on $T^2/Z_N$ in the presence of magnetic fluxes. We provide general formulae for them, and numerically evaluate their magnitude in a specific model on $T^2/Z_3$. Thanks to the nontrivial profiles of the zero-mode wave functions, the top quark Yukawa coupling can be reproduced without introducing a large representation of the gauge group for matter fields. However, it is difficult to realize small Yukawa couplings only by the magnetic fluxes and the Wilson-line phases because of the complicated structure of the mode functions on $T^2/Z_N$ ($N=3,4,6$).

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Yoshio Matsumoto, Yutaka Sakamura. 2016-02-05. Yukawa couplings in 6D gauge-Higgs unification on $T^2/Z_N$ with magnetic fluxes. https://doi.org/10.1093/ptep/ptw058

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