  We consider a simple Higgs portal dark matter model, where the Standard Model
is supplemented with a complex scalar whose imaginary part plays the role of
WIMP dark matter (DM). We show that the direct DM detection cross section
vanishes at tree level and zero momentum transfer due to a cancellation by
virtue of a softly broken symmetry. This cancellation is operative for any
mediator masses. As a result, our electroweak scale dark matter satisfies all
of the phenomenological constraints quite naturally.
