Asymptotically safe and free chiral theories with and without scalars

TL;DR

This paper explores the phase structure of four-dimensional chiral gauge-Yukawa theories with scalars, identifying conditions for asymptotic safety or freedom, and extending the understanding of fundamental theories in this class.

Contribution

It provides a detailed perturbative analysis of the phase diagram of chiral gauge-Yukawa theories with scalars, including their ultraviolet behavior and asymptotic properties.

Findings

Identification of asymptotically safe chiral theories with scalars.

Extension of known fundamental theories to chiral gauge theories with scalars.

Determination of phase diagrams up to maximum perturbative order.

Abstract

We unveil the dynamics of four dimensional chiral gauge-Yukawa theories featuring several scalar degrees of freedom transforming according to distinct representations of the underlying gauge group. We consider generalized Georgi-Glashow and Bars-Yankielowicz theories. We determine, to the maximum known order in perturbation theory, the phase diagram of these theories and further disentangle their ultraviolet asymptotic nature according to whether they are asymptotically free or safe. We therefore extend the number of theories that are known to be fundamental in the Wilsonian sense to the case of chiral gauge theories with scalars.