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Minimal SU(5) Asymptotic Grand Unification

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arxiv 2012.14732 v2 pith:EAR3NJNE submitted 2020-12-29 hep-th hep-ph

Giacomo Cacciapaglia , Alan S. Cornell , Corentin Cot , Aldo Deandrea This is my paper
classification hep-thhep-ph
keywords asymptoticbulkcouplingsdecayfixedgaugegrandkaluza-klein
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abstract

We present a minimal model of asymptotic grand unification based on an $SU(5)$ gauge theory in a compact $S^1/(\mathbb{Z}_2 \times \mathbb{Z}'_2)$ orbifold. The gauge couplings run to a unified fixed point in the UV, without supersymmetry. By construction, fermions are embedded in different $SU(5)$ bulk fields. As a consequence, 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.

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  1. Grand-unification Theory Atlas: Standard Model and Beyond

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A degree-of-freedom count applied to a new atlas of grand-unified gauge theories ranks SU(5) Georgi-Glashow first and SO(10) second for three generations.

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