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.
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