Safe Pati-Salam

TL;DR

This paper introduces an asymptotically safe extension of the Standard Model using Pati-Salam symmetry, achieving ultraviolet fixed points for all couplings through vector-like fermions and large-flavor techniques.

Contribution

It presents a novel Standard Model extension with a Pati-Salam embedding that ensures all couplings reach an interacting fixed point below the Planck scale.

Findings

Gauge, scalar, and Yukawa couplings attain UV fixed points.

Renormalization group flows match Standard Model couplings at low energies.

The model demonstrates a unified, safe extension of the Standard Model.

Abstract

We provide an asymptotically safe Pati-Salam embedding of the Standard Model. Safety is achieved by adding to the theory gauged vector-like fermions and by employing recently developed large number-of-flavor techniques and results. We show that the gauge, scalar quartic and Yukawa couplings achieve an interacting ultraviolet fixed point below the Planck scale. The minimal model is a relevant example of a Standard Model extension in which unification of all type of couplings occurs because of a dynamical principle, i.e. the presence of an ultraviolet fixed point. This extension differs from the usual Grand Unified Theories scenario in which only gauge couplings unify and become free with the remaining couplings left unsafe. We find renormalization group flow solutions that match the Standard Model couplings values at low energies allowing for realistic safe extensions of the Standard Model.