Unification of Gauge Symmetries... including their breaking

TL;DR

This paper proposes a minimal 5D warped space model unifying SM gauge symmetries and their breaking, addressing hierarchy, proton decay, and predicting new particles accessible at colliders.

Contribution

It introduces a Gauge-Higgs Grand Unification model with boundary symmetry breaking, naturally reproducing the SM spectrum and realistic Higgs mass while addressing key theoretical issues.

Findings

Realistic Higgs mass of 125 GeV achieved

Proton decay suppressed via hidden baryon number symmetry

Predicts accessible X and Y gauge bosons at colliders

Abstract

In this talk, we present a minimal viable scenario that unifies the gauge symmetries of the Standard Model (SM) and their breaking sector. Our Gauge-Higgs Grand Unification setup employs 5D warped space with a $SU(6)$ bulk gauge field that includes both a $SU(5)$ grand unified theory (GUT) and a Higgs sector as a scalar component of the 5D vector field, solving the hierarchy problem. By appropriately breaking the gauge symmetry on the boundaries of the extra dimension the issue of light exotic new states, appearing generically in such models, is eliminated and the SM fermion spectrum is naturally reproduced. The Higgs potential is computed at one-loop, finding straightforward solutions with a realistic $m_h = 125$ GeV. The problem of proton decay is addressed by showing that baryon number is a hidden symmetry of the model. The presence of a scalar leptoquark and a scalar singlet is highlighted, which might play a role in solving further problems of the SM, allowing for example for electroweak baryogenesis. Finally, the $X$ and $Y$ gauge bosons from $SU(5)$ GUTs are found at collider accessible masses, opening a window to the unification structure at low energies.