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SS22 – Abstract
Andrei Angelescu
(MPI Heidelberg)
21.7.2022
Minimal SU(6) Gauge-Higgs Grand Unification
Gauge-Higgs Grand Unified Theories (GHGUTs) embedded in 5D spacetime unify the gauge symmetries of Nature together with their breaking sector, at the same time providing a solution to the gauge hierarchy problem, the flavour puzzle, and the doublet-triplet splitting problem. In this talk, I will discuss the recently proposed 5D warped space GHGUT setup with an SU(6) bulk gauge group, where the 5D gauge field contains the conventional SU(5) GUT gauge bosons plus a scalar sector - which includes the Higgs field - as the fifth component of 5D gauge bosons. I will start by reviewing flat and warped extra-dimensional models, introducing central concepts such as Kaluza-Klein decomposition and boundary conditions. After presenting the benefits and drawbacks of existing Gauge-Higgs (Grand) Unification models, I will show how our SU(6) GHGUT scenario adresses these drawbacks without spoiling the benefits. Improvements over existing literature include correct masses and mixings for SM fermions and a realistic Higgs mass mh ~ 125 GeV, and some notable predictions are a singlet scalar and a scalar leptoquark (LQ) with TeV-scale masses. Although the scalar LQ (coloured GUT gauge bosons) has a mass of order TeV (10 TeV), I will explain how proton decay is forbidden by a baryon number symmetry following from the SM fermion embeddings in SU(6). Finally, I will highlight some phenomenological consequences of our model.
