Minimal SU(6) Gauge-Higgs Grand Unification
Simone Blasi
Abstract
We present a minimal viable gauge-Higgs grand unification scenario in warped space based on a $\text{SU}(6)$ bulk symmetry---unifying the gauge symmetries of the Standard Model and their breaking sector. We show how the issue of light exotic new states is eliminated by appropriately breaking the gauge symmetry on the UV and IR boundaries by either brane scalars or gauge boundary conditions. The Standard Model fermion spectrum is naturally reproduced including Dirac neutrinos and we compute the Higgs potential at one loop, finding easily solutions with a realistic ${m}_{h}\ensuremath{\sim}125\text{ }\text{ }\mathrm{GeV}$. The problem of proton decay is addressed by showing that baryon number is a hidden symmetry of the model. Among the phenomenological consequences, we highlight the presence of a scalar leptoquark and a scalar singlet. The usual $X$, $Y$ gauge bosons from $\text{SU}(5)$ grand unified theories are found at collider accessible masses.