Renormalization of chiral NN potentials and Weinberg power counting*

In recent years, quantitative nucleon-nucleon (NN) potentials based upon chiral perturbation theory (ChPT) have been developed. All these potentials apply what is known as ``Weinberg power counting''. However, this renormalization scheme has been the subject of varying forms of criticism for more than a decade. Systematic investigations of the issue conducted to date have been restricted to only the leading order (LO) of ChPT. Since quantitative chiral NN potentials are constructed at next-to-next-to-next-to-leading (N3LO), it is necessary to investigate the power counting issue beyond LO, and ultimately at N3LO. We have launched such a program and will report the current status of our findings.