SU(7) Grand Gauge-Higgs Unification
Abstract
We propose a model of six dimensional SU(7) grand gauge-Higgs unification compactified on S1/Z2 /times S1/Z2, which is a six dimensional extension of five dimensional SU(4) gauge-Higgs unification predicting the weak mixing angle /sin2 /thetaW=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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