Minimal SU(5) asymptotic grand unification

Giacomo Cacciapaglia (1) , Alan S. Cornell , Corentin Cot (1) , Aldo Deandrea (1)

1 IP2I Lyon - Institut de Physique des 2 Infinis de Lyon

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 $S^1/({\mathbb{Z}}_2\times {\mathbb{Z}}_2^{\prime })$ 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.

Mots clés: model: minimal; baryon number: conservation law; coupling: Yukawa; p: decay; fixed point: ultraviolet; grand unified theory: SU(5); dark matter; baryogenesis; orbifold: S(1)/Z(2)

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Physique des Hautes Energies - Phénoménologie [hep-ph]

Giacomo Cacciapaglia, Alan S. Cornell, Corentin Cot, Aldo Deandrea. Minimal SU(5) asymptotic grand unification. Physical Review D, 2021, 104 (7), pp.075012. ⟨10.1103/PhysRevD.104.075012⟩. ⟨hal-03115804⟩