Abstract
A gauge theory with an underlying SU q (2) quantum group symmetry is introduced, and its properties are examined. With suitable assumptions, this model is found to have many similarities with the usual SU (2) × U (1) standard model, specifically, the existence of four generators and thus four gauge fields. However, the two classical symmetries are unified into one quantum symmetry, and therefore there is only a single coupling constant, rather than two. By incorporating a Higgs sector into the model, one obtains several explicit tree-level predictions in the undeformed limit, such as the Weinberg angle: sin 2 θ w = 3 11 . With the Z-boson mass m z and fine structure constant α as inputs, one can also obtain predictions for the weak coupling constant, the mass of the W, and the Higgs VEV. The breaking of the quantum invariance also results in a remaining undeformed U (1) gauge symmetry.
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