Minimal SU(5) asymptotic grand unification

We present a new paradigm, asymptotic grand unification, where the gauge couplings run to a unique fixed point in the ultraviolet, without supersymmetry and without quantitative unification at any given scale. We introduce a minimal model based on an SU(5) gauge theory in a compact S-1/(Z(2) x Z'(2)) orbifold. By construction, fermions are embedded in different SU(5) bulk fields. As a consequence, the baryon number is conserved, thus preventing proton decay, and the lightest Kaluza-Klein tier consists of new states that cannot decay into standard model ones. We show that the Yukawa couplings can be either in the bulk or localized and run to an asymptotically free fixed point in the UV. The lightest massive state can play the role of dark matter, produced via baryogenesis, for a Kaluza-Klein mass of about 2.4 TeV.

Automated summary

A new paradigm of asymptotic grand unification is proposed, without requiring supersymmetry or quantitative unification at any scale. By embedding fermions in different SU(5) bulk fields, baryon number conservation is ensured and proton decay is prevented, while the lightest massive state can potentially serve as dark matter. The model suggests that Yukawa couplings can run to an asymptotically free fixed point in the ultraviolet, with a potential Kaluza-Klein mass of about 2.4 TeV.