arXiv 2101.096072021-01-23hep-ph

弱八重道：电弱相互作用的$SU(3)_W$统一

The Weak Eightfold Way: $SU(3)_W$ unification of the electroweak interactions

P. Q. Hung

备注：: 15 double-column pages, 6 figures

摘要：

在最近的工作中，基于EW- $ν_R$模型的电弱电子的Dirac量子化条件，成功地在O（TeV）能级上预言了$\sin^2 θ_W$.可以做出这样的预测这一事实引发了以下问题：$SU(2)$能在O（TeV）尺度上与$U(1)$统一吗？因为对$\sin^2 θ_W$的预测必然将$U(1)$耦合$g^{\prime}$与$SU(2)$弱耦合$g$联系起来。这篇论文表明，这可以通过将$SU(2) \times U(1)$嵌入到$SU(3)_W$（弱八重方法）中来实现，并得到以下结果：1）获得了弱混合角的相同预测; 2）$SU(3)_W$的标量表示包含了建立EW- $ν_R$模型所需的所有表示，特别是在构建电弱粒子时使用的真实希格斯三重态。3)反常自由要求EW- $ν_R$模型中存在镜像费米子。4)带有非常规电荷的类矢量夸克（VLQ）是完成包含右手向上夸克的$SU(3)_W$表示所必需的，具有有趣的实验意义，如双电荷混合介子的预言.

英文摘要：

In a recent work, a successful prediction has been made for $\sin^2 θ_W$ at an energy scale of O(TeV) based on the Dirac quantization condition of an electroweak monopole of the EW-$ν_R$ model. The fact that such a prediction can be made has prompted the following question: Can $SU(2)$ be unified with $U(1)$ at O(TeV) scale since a prediction for $\sin^2 θ_W$ necessarily relates the $U(1)$ coupling $g^{\prime}$ to the $SU(2)$ weak coupling $g$? It is shown in this manuscript that this can be accomplished by embedding $SU(2) \times U(1)$ into $SU(3)_W$ (The Weak Eightfold Way) with the following results: 1) The same prediction of the weak mixing angle is obtained; 2) The scalar representations of $SU(3)_W$ contain all those that are needed to build the the EW-$ν_R$ model and, in particular, the real Higgs triplet used in the construction of the electroweak monopole. 3) Anomaly freedom requires the existence of mirror fermions present in the EW-$ν_R$ model. 4) Vector-Like Quarks (VLQ) with unconventional electric charges are needed to complete the $SU(3)_W$ representations containing the right-handed up-quarks, with interesting experimental implications such as the prediction of doubly-charged hybrid mesons.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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