Abstract
We examine orbifold theories of Grand Unification with Scherk-Schwarz twisting, performing a renormalisation group analysis and applying low energy experimental constraints. We rule out the minimal SU(5) models, and consider simple extensions including additional fields, such as an additional scalar field, or additional symmetries, such as $SU(5)\times U(1)$ or $E_6$. We find that it is very difficult to generate a large enough Higgs mass while simultaneously passing LHC experimental search constraints.
Highlights
The Large Hadron Collider’s (LHC) triumph on the discovery of the 125 GeV Higgs boson [1,2] has been tempered somewhat by the lack of evidence of physics beyond the standard model (SM)
Typical unconstrained supersymmetric models are complicated by having over 100 additional free parameters, so plenty parameter space remains for more nonminimal models of supersymmetry and the LHC will continue to search for them
One may posit mechanisms of supersymmetry breaking at the high scale to predict relations between the supersymmetry breaking parameters, and the consequent low energy spectrum that can be confronted with data
Summary
The Large Hadron Collider’s (LHC) triumph on the discovery of the 125 GeV Higgs boson [1,2] has been tempered somewhat by the lack of evidence of physics beyond the standard model (SM). Typical unconstrained supersymmetric models are complicated by having over 100 additional free parameters (due to the lack of knowledge of the supersymmetry breaking mechanism), so plenty parameter space remains for more nonminimal models of supersymmetry and the LHC will continue to search for them. One may posit mechanisms of supersymmetry breaking at the high scale to predict relations between the supersymmetry breaking parameters, and the consequent low energy spectrum that can be confronted with data. This is often married with a grand unified theory (GUT) in which the SM gauge groups are unified into a larger group.
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