  We discuss the formulation of a non-relativistic effective field theory for
two-body P-wave scattering in the presence of shallow states and critically
address various approaches to renormalization proposed in the literature. It is
demonstrated that the consistent renormalization involving only a finite number
of parameters in the well-established formalism with auxiliary dimer fields
corresponds to the inclusion of an infinite number of counterterms in the
formulation with contact interactions only. We also discuss the implications
from the Wilsonian renormalization group analysis of P-wave scattering.
