Systematic classification of aGUT models in five dimensions: The SU(N) kinship

TL;DR

This paper classifies five-dimensional asymptotic grand unification models, identifying two minimal viable models with specific features like gauge scalar-generated Yukawas and baryon number conservation.

Contribution

It systematically characterizes minimal aGUT models in five dimensions within the SU(N) framework, focusing on UV fixed points and realistic phenomenology.

Findings

Identified two minimal SU(6) models with realistic features.

Both models generate Yukawas via gauge scalars and include two Higgs doublets.

Models conserve baryon number and exhibit minimal flavour violation.

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.