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arXiv · 2503.04090

SU(7) Grand Gauge-Higgs Unification

Yuzuho Komori·Nobuhito Maru
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Abstract

We propose a model of six dimensional $SU(7)$ grand gauge-Higgs unification compactified on $S^1/Z_2 /times S^1/Z_2$, which is a six dimensional extension of five dimensional $SU(4)$ gauge-Higgs unification predicting the weak mixing angle $/sin^2 /theta_W=1/4$ at the compactification scale. We investigate whether the correct pattern of electroweak symmetry breaking is realized in our model. We find some solutions providing the electroweak symmetry breaking and a realistic Higgs mass. Corresponding to each solution, the compactification scale of the fifth dimension is predicted. Furthermore, we evaluate the weak mixing angle at the weak scale by using one-loop renormalization group equation and find it to be in good agreement with the experimental data.

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Yuzuho Komori, Nobuhito Maru. 2025-03-06. SU(7) Grand Gauge-Higgs Unification. https://arxiv.org/abs/2503.04090

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