We perform a detailed investigation of a Grand Unified Theory (GUT)-inspired theory of gauge-Higgs unification. Scanning the model's parameter space with adapted numerical techniques, we contrast the scenario's low energy limit with existing SM and collider search constraints. We discuss potential modifications of di-Higgs phenomenology at hadron colliders as sensitive probes of the gauge-like character of the Higgs self-interactions and find that for phenomenologically viable parameter choices modifications of the order of 20% compared to the SM cross section can be expected. While these modifications are challenging to observe at the LHC, a future 100 TeV hadron collider might be able to constrain the scenario through more precise di-Higgs measurements. We point out alternative signatures that can be employed to constrain this model in the near future.1 A SU (6)-based scenario was discussed in [30], also demonstrating that proton decay can be avoided. 2 A different variant of evolutionary algorithms, namely genetic algorithms, have been employed in the exploration of viable string theory scenarios and the pMSSM in [33,34].

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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) × U (1) or E6. We find that it is very difficult to generate a large enough Higgs mass while simultaneously passing LHC experimental search constraints.

In the following proceedings we will outline our recent efforts aimed at analysing a class of models known as orbifold GUTs and their phenomenology in a variety of minimal and non-minimal settings. We examine the minimal SU(5) models, rule them out, and proceed by extending them with an additional scalar field along with a gauge extension via SU(5) ×U(1) models. We end up by commenting on the future improvements needed to more accurately handle exclusions along with tracing the U(1) gauge extensions to more complete 6D theories.