Higgs as a probe of supersymmetric grand unification with the Hosotani mechanism

TL;DR

This paper explores how Higgs measurements at colliders can test a supersymmetric grand unified theory where the $SU(5)$ symmetry is broken via the Hosotani mechanism, predicting TeV-scale adjoint supermultiplets.

Contribution

It introduces a highly predictive model with $SU(5)$ breaking by the Hosotani mechanism, linking Higgs sector measurements to grand unification breaking.

Findings

TeV-scale adjoint supermultiplets predicted

Higgs couplings and masses can distinguish the model

Potential collider signatures of GUT breaking mechanism

Abstract

The supersymmetric grand unified theory where the $SU(5)$ gauge symmetry is broken by the Hosotani mechanism provides a natural solution to the so-called doublet-triplet splitting problem. At the same time, this model derives a general and distinctive prediction that is testable at TeV scale collider experiments. To be more concrete, adjoint chiral supermultiplets with masses around TeV scale appear. Since these additional fields originate from a higher-dimensional gauge supermultiplet, our model is highly predictive. We study especially the Higgs sector and show that our model is discriminative from the others by precision measurements of the couplings and masses. Namely, we may get a hint of the breaking mechanism of the grand unification at future collider experiments.