论文标题
电动eak单极,狄拉克量化和弱混合角
An Electroweak Monopole, Dirac Quantization and the Weak Mixing Angle
论文作者
论文摘要
我们考虑了当前一位作者(PQH)最近提出的标准模型的扩展,该模型最近接纳了磁性单极,其质量为几个TEV。除了在模型的SU(2)扇区中,我们强加了dirac量化条件(DQC),这是在单调存在的情况下,带电电子的量子理论一致性所需的。这导致预测$ {\ rm sin}^2θ_W= 1/4 $,其中$θ_W$是单极质量设置的能量刻度下的弱混合角。在$ z $ -Boson质量上,在适当的条件下,在$ z $ -Boson质量上,领先的重量化组分析得出$ {\ rm sin}^2θ_W\ simeq 0.231 $的值。
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 ${\rm sin}^2θ_W = 1/4$, where $θ_W$ is the weak mixing angle at the energy scale set by the monopole mass. A leading-order renormalization-group analysis yields the value of ${\rm sin}^2 θ_W \simeq 0.231$ at the $Z$-boson mass, as measured by experiment, under suitable conditions on the spectrum of the extra particles in the model.