Connections between Dynamical and Renormalization Group Techniques in Top Condensation Models

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Slightly revised version. LaTeX and uuencoded, packed Postscript figures. The complete paper, including figures, is also avail

Scientific paper

10.1016/0370-2693(95)01101-U

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 Identities in the calculation of the \GB decay constants and expresses $M_W$ in terms of integrals containing the dynamically generated mass function $\Sigma_t(p^2)$. 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 $M_W/M_H$ in lowest loop order.

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