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

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 $T^2/Z_N$ ($N=3,4,6$).

36 pages, typos corrected

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Cited by in corpus (23)

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• Wilson-line Scalar as a Nambu-Goldstone Boson in Flux Compactifications and Higher-loop Corrections
• 6d Dirac fermion on a rectangle; scrutinizing boundary conditions, mode functions and spectrum
• Supersymmetric models on magnetized orbifolds with flux-induced Fayet-Iliopoulos terms
• Supersymmetry in 6d Dirac Action
• Nonvanishing Finite Scalar Mass in Flux Compactification
• Signals of $W^{\prime }$ and $Z^{\prime }$ bosons at the LHC in the $SU(3)\times SO(5)\times U(1)$ gauge-Higgs unification
• Bhabha scattering in the gauge-Higgs unification
• Gauge Symmetry Breaking in Flux Compactification with Wilson-line Scalar Condensate
• Dynamical supersymmetry breaking on magnetized tori and orbifolds
• Toward Realistic Gauge-Higgs Grand Unification
• Seesaw mechanism in magnetic compactifications
• Quark mass matrices in magnetized orbifold models with localized Fayet-Iliopoulos terms
• Cancellation of One-loop Corrections to Scalar Masses in Flux Compactification with Higher Dimensional Operators
• Extranatural Flux Inflation
• Trace conservation laws in $T^2/Z_m$ orbifold gauge theories
• Pseudo-Nambu-Goldstone Dark Matter in Flux Compactification