Toward a q-Deformed Standard Model

A gauge theory with an underlying SUq(2) quantum group symmetry is introduced, and its properties 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 θW = 3 11 . With the Z-boson mass mZ 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. PACS-96: 12.10.Kt, 12.60.Cn, 12.60.Fr MSC-91: 16W30