Studies on the UV to IR Evolution of Gauge Theories and Quasiconformal Behavior

TL;DR

This paper investigates the ultraviolet to infrared evolution of gauge theories, focusing on quasiconformal behavior, higher-loop calculations, and implications for dynamical electroweak symmetry breaking.

Contribution

It provides new higher-loop calculations of the beta function and anomalous dimensions, analyzing scheme dependence and applications to electroweak symmetry breaking models.

Findings

Higher-loop IR zero of the beta function identified

Scheme dependence of results analyzed in detail

Implications for dynamical electroweak symmetry breaking discussed

Abstract

We describe recent results from our studies of the UV to IR evolution of asymptotically free vectorial gauge theories and quasiconformal behavior. These include higher-loop calculations of the IR zero of the beta function and of the anomalous dimension of the fermion bilinear. Effects of scheme-dependence of higher-loop results are assessed in detail. Applications to models with dynamical electroweak symmetry breaking are discussed.