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

Abstract

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.

19 pages

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