Divergences of Massive Yang-Mills Theories

In an earlier paper, we suggested a model of weak interactions where the divergences of higher-order amplitudes are properly ordered. In this paper, we show that the introduction of Yang-Mills self-couplings preserves this ordering. We show, in particular, that the worst divergences of Feynman amplitudes are like ${\left(g^2{\Lambda }^2\right)}^n$, despite the fact that individual Feynman diagrams diverge like ${\left(g^2{\Lambda }^4\right)}^n$.