Abstract
We present a minimal viable Gauge-Higgs Grand Unification scenario in warped space based on a $SU(6)$ bulk symmetry - unifying the gauge symmetries of the SM 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 SM fermion spectrum is naturally reproduced including Dirac neutrinos and we compute the Higgs potential at one-loop, finding easily solutions with a realistic $m_h \sim 125$ 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 $SU(5)$ GUTs are found at collider accessible masses.
Highlights
Unifying the basic interactions of nature in a single symmetry group of a “grand unified theory” (GUT) [1,2] is a big dream in fundamental physics, which comes with various challenges
We present a minimal viable gauge-Higgs grand unification scenario in warped space based on a SUð6Þ 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
Summary
Unifying the basic interactions of nature in a single symmetry group of a “grand unified theory” (GUT) [1,2] is a big dream in fundamental physics, which comes with various challenges. Models of gauge-Higgs unification (GHU) [3–6] can solve the HP by embedding the Higgs as the fifth component of a 5D gauge field This idea is in particular attractive in a warped extra dimensional setting [7,8], where the large hierarchy between the Planck and the TeV scale is explained by a geometric, exponential “warp factor,” see [10] for a realistic application to the EW theory. The BCs for the scalars A5 can be retrieved by flipping signs Those components with (þþ) BCs feature a massless zero mode, which corresponds just to the generators of the unbroken gauge group H in the 4D vector-boson sector (Aμ) as well as four degrees of freedom in the 4D scalar sector (A5), which can be identified with an EW Higgs doublet. All gauge bosons as well as the Higgs sector are unified in a single gauge field
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