  The phase structure and the infrared behaviour of the Euclidean 3-dimensional
$O(2)$ symmetric ghost scalar field $\phi$ has been investigated in Wegner and
Houghton's renormalization group framework, including higher-derivatives in the
kinetic term. It is pointed out that higher-derivative coupling provides three
phases and leads to a triple point in that RG scheme. The types of the phase
transitions have also been identified.
