  The standard approach to the infra-red problem is to use the Bloch-Nordsieck
trick to handle soft divergences and the Lee-Nauenberg (LN) theorem for
collinear singularities. We show that this is inconsistent in the presence of
massless initial particles. Furthermore, we show that using the LN theorem with
such initial states introduces a non-convergent infinite series of diagrams at
any fixed order in perturbation theory.
