Yukawa Couplings and Effective Interactions in Gauge-Higgs Unification
Yutaka Hosotani, Yoshikazu Kobayashi
TL;DR
This paper investigates the wave functions and Yukawa couplings of top and bottom quarks within a gauge-Higgs unification framework, revealing conditions where Higgs couplings vanish, potentially leading to a stable Higgs particle.
Contribution
It provides explicit calculations of Yukawa couplings and effective interactions in the SO(5) x U(1) gauge-Higgs unification model, highlighting the vanishing of certain couplings at specific phases.
Findings
Yukawa couplings are determined for top and bottom quarks.
Higgs couplings vanish at heta_H = rac{ ext{pi}}{2}.
The Higgs particle may become stable under certain conditions.
Abstract
The wave functions and Yukawa couplings of the top and bottom quarks in the SO(5) x U(1) gauge-Higgs unification model are determined. The result is summarized in the effective interactions for \hat \theta_H(x) = \theta_H + H(x)/f_H where \theta_H is the Wilson line phase and H(x) is the 4D Higgs field. The Yukawa, WWH and ZZH couplings vanish at \theta_H = \onehalf \pi. There emerges the possibility that the Higgs particle becomes stable.
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