Connections between dynamical and renormalization group techniques in top condensation models

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Predictions for the ratio M W m t 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 M W in terms of integrals containing the dynamically generated mass function Σ t ( p 2). 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 M W m t and M W M H lowest loop order.