Is the 126 GeV Higgs boson mass calculable in gauge-Higgs unification?

We address a question whether the recently observed Higgs mass M₇ = 126 GeV, of the order of the weak scale Mₖ, is calculable as a finite value in the scnenario of gauge-Higgs unification. In the scenario formulated on a flat 5-dimensional space-time, the Higgs mass is calculable, being protected under the quantum correction by gauge invariance, though the predicted Higgs mass is generally too small compared with Mₖ. In the 6-dimensional SU (3) model, however, a suitable orbifolding is known to lead to a mass of the order of Mₖ: M₇ = 2Mₖ at the tree level, which has some similarity to the corresponding prediction by the MSSM, M₇ leq (cos beta) Mₙ. We demonstrate first by a general argument and secondly by explicit calculations that, even though the quantum correction to the quartic self-coupling of the Higgs field is UV-divergent, its deviation from that of g^2 is calculable, and therefore two observables, M₇^2 and Delta equiv (M₇/2Mₖ) ^2-1, are both calculable in the gauge-Higgs unification scenario. The implication of the precise value 126 GeV to the compactification scale and the bulk mass of the matter field in our model is also discussed.