arXiv 1012.36922010-12hep-ph

SU（2/1）规范-希格斯统一

SU(2/1) gauge-Higgs unification

E. K. Loginov

备注：: 17 pages, 3 figures
发表信息：: Int.J.Mod.Phys. A31 (2016) 1650102
DOI：: 10.1142/S0217751X16501025

摘要：

本文讨论了在弱电规范群$SU(2)\times U(1)_{Y}$嵌入分次李群$SU(2/1)$的构造基础上，观测到的温伯格角和Higgs质量在形式上是否可计算的问题.在这里，我们遵循原始作品的内曼和费尔利认为，玻色子领域采取其价值观的李超代数和费米子领域采取其价值观的代表性空间。与此同时，我们的方法有很大的不同。主要的一点是，虽然对它们来说规范对称性群是$SU(2/1)$，但这里我们只考虑由其偶子群产生的对称，即，标准电弱模型的对称性原因是这样的形式主义修正了四次希格斯耦合，同时消除了符号和统计问题。主要结果是，所提出的模型预测的温伯格角和希格斯质量的值正确的两圈的水平。此外，该模型设置了与电弱标度一致的统一标度，并自动地用正确的夸克荷和轻子荷正确地描述了费米子。

英文摘要：

We discuss a question whether the observed Weinberg angle and Higgs mass are calculable in the formalism based on a construction in which the electroweak gauge group $SU(2)\times U(1)_{Y}$ is embedded in the graded Lie group $SU(2/1)$. Here we follow original works of Ne'eman and Fairlie believing that bosonic fields take their values in the Lie superalgebra and fermionic fields take their values in its representation space. At the same time, our approach differs significantly. The main one is that while for them the gauge symmetry group is $SU(2/1)$, here we consider only symmetries generated by its even subgroup, i.e., symmetries of the standard electroweak model. The reason is that such formalism fixes the quartic Higgs coupling and at the same time removes the sign and statistics problems. The main result is that the presented model predicts values of the Weinberg angle and the Higgs mass correctly up to the two-loop level. Moreover, the model sets the unification scale coinciding with the electroweak scale and automatically describes the fermions correctly with the correct quark and lepton charges.

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