Heterotic Yukawa couplings and continuous Wilson lines
Tatsuo Kobayashi, Oleg Lebedev

TL;DR
This paper investigates how continuous Wilson lines influence heterotic string Yukawa couplings, revealing that they enhance the hierarchy of twisted Yukawa couplings, which is crucial for realistic string model building.
Contribution
It demonstrates the impact of continuous Wilson lines on Yukawa coupling magnitudes and hierarchy in heterotic string models, a novel insight for string phenomenology.
Findings
Continuous Wilson lines modify Yukawa coupling magnitudes.
Presence of Wilson lines strengthens Yukawa hierarchy.
Implications for realistic heterotic string model construction.
Abstract
Realistic heterotic string models require the presence of the Wilson lines. We study the effect of continuous Wilson lines on the heterotic Yukawa couplings and find that the presence of continuous Wilson lines affects the magnitude of the twisted Yukawa couplings resulting in their stronger hierarchy.
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