An asymptotically safe SU(5) GUT

TL;DR

This paper proposes an asymptotically safe SU(5) grand unified theory by extending the Standard Model with vector-like fermions, ensuring gauge coupling unification and avoiding Landau poles, with all couplings remaining perturbative.

Contribution

It introduces a minimal SU(5) GUT model that is asymptotically safe, featuring an interacting fixed point and consistent coupling unification without Landau poles.

Findings

Gauge couplings unify at a realistic scale.

The model has an interacting fixed point for the gauge coupling.

All couplings remain perturbative at the fixed point.

Abstract

We minimally extend the Standard Model field content by adding new vector-like fermions at the TeV scale to allow gauge coupling unification at a realistic scale. We embed the model into a $SU(5)$ grand unified theory that is asymptotically safe and features an interacting fixed point for the gauge coupling. There are no Landau poles of the $U(1)$ gauge and Higgs couplings. Gauge, Yukawa and Higgs couplings are retraced from the fixed point and matched at the grand unification scale to those of the Standard Model rescaled up to the same energy. All couplings, their fixed point values and critical exponents always remain in the perturbative regime.