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SU(7) Grand Gauge-Higgs Unification
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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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Gauge symmetry breaking with $S^2$ extra dimensions
On S2, a cos θ background gauge field breaks the gauge group to its centralizer; the KK mass spectrum is (j(j+1) - kα^2)/R^2 for charged modes.
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