Abstract
Asymptotic Grand Unification theories (aGUTs) in five dimensions provide a valid alternative to standard quantitative unification. We define the pathway towards viable models starting from a general unified bulk gauge symmetry. Imposing the presence of ultra-violet fixed points for both gauge and Yukawa couplings strongly limits the possibilities. Within the SU(N) kinship, we identify and characterise only two realistic minimal models, both based on a bulk SU(6) symmetry. Both models feature the generation of either up or down-type Yukawas via gauge scalars, two Higgs doublets with build-in minimal flavour violation at low energies, and conservation of baryon number. We also propose interesting avenues beyond the minimality criterion.
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The author is indebted to Corentin Cot for his PhD thesis notes, which were crucial for the computation of the Yukawa coupling running.
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Cacciapaglia, G. Systematic classification of aGUT models in five dimensions: the SU(N) kinship. J. High Energ. Phys. 2023, 162 (2023). https://doi.org/10.1007/JHEP12(2023)162
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DOI: https://doi.org/10.1007/JHEP12(2023)162