Nucleon-nucleon interaction is studied within chiral effective field theory with a finite cutoff at next-to-leading order in the chiral expansion.
The leading order interaction is resummed non-perturbatively, whereas the next-to-leading-order terms are taken into account in a perturbative manner.
Explicit renormalizability of such a scheme is proven in certain important cases.
In particular, it is verified whether the power-counting breaking terms originating from the integration regions characterized by large momenta can be absorbed by the renormalization of the low energy constants.
The importance of non-perturbative effects is analyzed in detail.