Equivalence theorem and infrared divergences

We look at the Equivalence Theorem as a statement about the absence of polynomial infrared divergences when $m_W \rightarrow 0$. We prove their absence in a truncated toy model and conjecture that, if they exist at all, they are due to couplings between light particles.Comment: Minor changes in the argument for clarity. More references have been added. 16 pages, LaTeX, no extra figure