  We study the regularization and renormalization of a finite range inverse
cube potential in the two- and three-body sectors. Specifically, we compare and
contrast three different regulation schemes frequently used to study few-body
systems as well as the associated renormalization group flows. We also
calculate bound state and scattering observables over a wide range of cutoffs,
demonstrating the sufficiency of a two-body contact interaction to renormalize
two- and three-body observables. We supplement these plots with quantified
analyses of the observables' residual cutoff dependence.
