I discuss supersymmetric extensions of the Standard Model containing an extra U(1)′ gauge symmetry which provide a solution to the μ -problem and at the same time protect the proton from decaying via dimension 4 operators. Comment: 45 pages, revtex, 20 eps figures, psfig.sty Minor numerical renormalization group results corrected. Radiative breaking can also be generated by exotics, which are expected in most string models. However, either scenario is possible when the assumption of universal soft breaking is relaxed. We find that one does not obtain either scenario for universal soft supersymmetry breaking mass parameters at the string scale and no exotic multiplets contributing to the renormalization group equations. We relate the soft supersymmetry breaking parameters at the electroweak scale to those at the string scale, choosing Yukawa couplings as determined within a class of string models. Here we construct a version with precision $SU(2)_ and the effective mu, is O(1 TeV), but the electroweak scale is smaller due to cancellations. Maximally Natural Supersymmetry, an unusual weak-scale supersymmetric extension of the Standard Model based upon the inherently higher-dimensional mechanism of Scherk-Schwarz supersymmetry breaking (SSSB), possesses remarkably good fine tuning given present LHC limits. We also forbid the dimension-five operators for the neutrino masses by U(1)' gauge symmetry, and the realistic left-handed neutrino masses can be obtained via non-renormalizable terms. The masses of exotic particles can be at the order of 1 TeV after the gauge symmetry breaking.
#TRINE 2 COMPLETE STORY LOW GRAVITY FIELD HOW TO#
And we discuss how to break the SU(3)C × SU(2)L × U(1)Y × U(1)' gauge symmetry, solve the μ problem, and generate the Z − Z' mass hierarchy naturally by using the geometry. The proton decay problem can be avoided by putting the quarks and leptons/neutrinos on different 3-branes. The gauge coupling unification can be achieved at 100–200 TeV if the compactification scale for the fifth dimension is 3–4 TeV.
#TRINE 2 COMPLETE STORY LOW GRAVITY FIELD FREE#
We also study the anomaly free conditions and present some anomaly free models.
In order to cancel the anomalies involving at least one U(1)', we add extra exotic particles. For the zero modes, the six-dimensional N = 2 supersymmetry and the SU(6) gauge symmetry are broken down to the four-dimensional N = 1 supersymmetry and the SU(3)C × SU(2)L × U(1)Y × U(1)' gauge symmetry by orbifold projections. We propose low energy six-dimensional N = 2 supersymmetric SU(6) models on M4 × T2/(Z2)3 and M4 × T2/(Z2)4, where the orbifold SU(3)C × SU(3) model can be embedded on the boundary 4-brane.
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