We consider an extension of the Standard Model that was proposed recently by one of the current authors (PQH), which admits magnetic monopoles with a mass of order of a few TeV. We impose, in addition to topological quantization in the SU(2) sector of the model, the Dirac Quantization Condition (DQC) required for consistency of the quantum theory of a charged electron in the presence of the monopole. This leads to the prediction ${\sin }^2{\theta }_W=1/4$, where ${\theta }_W$ is the weak mixing angle at the energy scale set by the monopole mass. A leading-order renormalization-group analysis yields the value of ${\sin }^2{\theta }_W\simeq 0.231$ at the Z-boson mass, as measured by experiment, under suitable conditions on the spectrum of the extra particles in the model.

我们考虑最近由当前作者之一 (PQH) 提出的标准模型的扩展，该模型允许质量为几个 TeV 的磁单极子。除了模型的 SU(2) 部分中的拓扑量化之外，我们还强加了狄拉克量化条件 (DQC)，以在单极子存在的情况下保持带电电子的量子理论的一致性。这导致预测${\mathrm{罪}}^2{\theta }_{宽}=1/4$， 在哪里 ${\theta }_{宽}$是由单极子质量设定的能量标度上的弱混合角。前导重整化组分析产生的值${\mathrm{罪}}^2{\theta }_{宽}\simeq 0.231$在Z玻色子质量上，通过实验测量，在模型中额外粒子光谱的合适条件下。