Triviality, perturbation theory and $Z\to b\overline{b}$

Abstract

We compute the large-$m_t$ contributions to the $Zb\overline{b}$ vertex in the Standard Model non-perturbatively using both the $1/\nc$ and the $1/\nf$ expansions. Triviality and its consequences for the perturbative result are systematically analyzed. In particular, we point out that the effect of triviality is already important at the two-loop level for a heavy Higgs ($600\gev<M_H<1\tev$) even when the top mass is below $200\gev$.

12pages (incl. figs.), TIT/HEP--258,CERN-TH.7287/94

References in corpus (5)

• Radiative Correction Effects of a Very Heavy Top
• Large $N$ analysis of the Higgs mass triviality bound
• Can the Couplings in the Fermion-Higgs Sector of the Standard Model be Strong?
• Non--decoupling, triviality and the $\rho$ parameter
• Chiral Yukawa models in the planar limit