Abstract
I study supersymmetric models in which the QCD gauge group is the remnant diagonal subgroup from the spontaneous breaking of an $SU(3) \times SU(3)$ gauge group at a multi-TeV scale. In renormalizable models with soft supersymmetry breaking, the scalar potential is shown to have global minima with the required gauge symmetry breaking pattern. In addition to a massive color octet vector boson, this framework predicts 3 color octet spin-0 sgluons, and 4 color octet gluinos with both Dirac and Majorana mass terms. One of the gluino mass eigenstates typically has a coupling to quark-squark pairs that is at least as large as the prediction of minimal supersymmetry, but it need not be the lightest one.
Highlights
The Large Hadron Collider (LHC) has discovered the Higgs boson associated with electroweak symmetry breaking, but so far has not provided any insight into the hierarchy problem
It has imposed significant lower limits on the masses of supersymmetric particles, and more generally on any new particles that could be involved in symmetries or dynamics that might explain why the electroweak scale is so much lighter than the Planck scale and other high mass scales associated with new physics
One possibility is that supersymmetry really is the essential part of the explanation for the big hierarchy problem M2Z ≪ MPlanck, but that there is some other subsidiary principle,1 not yet understood, that could explain the little hierarchy problem M2Z ≪ M2SUSY
Summary
The Large Hadron Collider (LHC) has discovered the Higgs boson associated with electroweak symmetry breaking, but so far has not provided any insight into the hierarchy problem. Supersymmetric standard model (MSSM) should be extended beyond the minimal particle content in the multi-TeV mass range or below. Attempts along these lines are far too numerous to review here. I study the possibility of realizing this symmetry breaking consistently in a renormalizable softly broken supersymmetric model This requires the presence of two chiral superfields that transform as the fundamental and antifundamental representations of both gauge groups, to be denoted in this paper as.
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