Chiral hierarchies and chiral perturbations in technicolor theories

It is shown that in an asymptotically free theory a slowly running coupling enhances the value of the appropriately defined fermion condensate while keeping the Goldstone-boson decay constant essentially unaltered. In technicolor theories, including the necessary effective four-fermion interactions which explicitly break some of the chiral symmetries, the condensate directly determines fermion and pseudo-Goldstone-boson masses through Chiral perturbation theory. An enhanced condensate can increase these masses substantially without affecting MW and MZ. Some gauge-theory examples exhibiting this behavior are tabulated.