Chiral Hierarchies, Compositeness and the Renormalization Group

Abstract

A wide class of models involve the fine--tuning of significant hierarchies between a strong--coupling ``compositeness'' scale, and a low energy dynamical symmetry breaking scale. We examine the issue of whether such hierarchies are generally endangered by Coleman--Weinberg instabilities. A careful study using perturbative two--loop renormalization group methods finds that consistent large hierarchies are not generally disallowed.

Comments: 22 pp + 5 figs (uuencoded and submitted separately), SSCL-Preprint-490; FERMI-PUB-93/035-T