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SU(7) Grand Gauge-Higgs Unification (2503.04090v1)

Published 6 Mar 2025 in hep-ph and hep-th

Abstract: We propose a model of six dimensional $SU(7)$ grand gauge-Higgs unification compactified on $S1/Z_2 /times S1/Z_2$, which is a six dimensional extension of five dimensional $SU(4)$ gauge-Higgs unification predicting the weak mixing angle $/sin2 /theta_W=1/4$ 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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