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arXiv 1012.4790hep-thhep-ph
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SUSY标准模型中夸克和轻子的超对称破缺

Supersymmetry Breaks Itself for Quarks and Leptons in the SUSY Standard Model

John A. Dixon

摘要:

像超对称标准模型(SSM)这样的模型拥有简单但隐藏得很好的“外场”。这些外场是违反超空间不变性的复合算子,但以一种特殊的方式。一种新的超对称性破缺机制产生于外场,用于一种特殊的非极小版本的SSM,它将被称为CSSM。CSSM除了通常的SSM之外,还有正确的中微子和希格斯单线态,我们称之为J。这种超对称性的破缺是不可避免的,因为它源于理论的局部BRST上同调,这也是外场的起源。我们还可以看到,弱SU(2)群,以及众所周知的夸克、轻子和希格斯粒子的双重态和单重态,都有与这种机制相关的存在理由。这里的超对称破缺仅取决于一个参数,即将SU(2)X U(1)破缺为U(1)的VEV。超对称性本身在这里没有自发破缺,所以超对称性破缺后真空能保持为零。由此产生的超对称性破坏的预测是非常受约束的模型。

英文摘要:

Models like the Supersymmetric Standard Model (SSM) possess simple, but well-hidden, `Outfields'. These Outfields are composite operators that violate superspace invariance, but in a special way. A new mechanism for SUSY breaking arises from the Outfields, for a special non-minimal version of the SSM, which will be called the CSSM. The CSSM has right neutrinos and a Higgs singlet, which we call J, in addition to the usual SSM. This breaking of SUSY cannot be avoided, because it arises from the local BRST cohomology of the theory, which is also the origin of the Outfields. It can also be seen that the Weak SU(2) group, and the well-known remarkable set of doublets and singlets for the Quarks, Leptons and Higgs, have a raison d'etre which relates to this mechanism. The SUSY breaking here depends on only one parameter, which is the VEV that breaks SU(2) X U(1) to U(1). SUSY itself is not spontaneously broken here, so the vacuum energy remains zero after SUSY breaking. The resulting predictions for SUSY breaking are very constrained by the model.

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