Connections between dynamical and renormalization group techniques in top condensation models

Predictions for the ratio MWmt arise in top condensation models from different methods. One type of prediction stems from Pagels-Stokar relations based on the use of Ward indentities in the calculation of the Goldstone boson decay constants and expersses MW in terms of integrals containing the dynamically generated mass function Σt(p2). Another type of prediction emerges from the renormalization group equations via infrared quasi-fixed points of the running top quark Yukawa coupling. We demonstrate in this paper that in the limit of a high cutoff these two methods lead to the same predictions for MWmt and MWMH lowest loop order.