  We consider the effect of adding a CP-odd, theta FFdual-term to the
electroweak Lagrangian without fermions. This term affects neither the
classical nor perturbatively quantum physics, but can be observed through
non-perturbative quantum processes. We give an example of such a process by
modifying the theory so that it supports Higgs-winding solitons and showing
that the rates of decay of these solitons to specific final states are CP
violating. We also discuss how the CP symmetry is restored when fermions are
included.
