Abstract
We consider the most general renormalizable chiral Yukawa model with SU(3) color replaced by SU( N c), SU(2) L replaced by SU( N w) and U(1) Y replaced by U(1) N w−1 in the limit N c → ∞, N w → ∞ with the ϱ= N w N c ≠0 , ∞ held fixed. Since for N w⩾3 only one renormalizable Yukawa coupling per family exists and there is no mixing between families the limit is appropriate for the description of the effects of a heavy top quark when all the other fermions are taken to be massless. A rough estimate of the triviality bound on the Yukawa coupling is equivalent to m t⩽1 TeV.
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