  We apply five subtractions in the Lippman-Schwinger (LS) equation in order to
perform a non-perturbative renormalization of chiral N3LO nucleon-nucleon
interactions. Here we compute the phase shifts for the uncoupled peripheral
waves at renormalization scales between $0.1~ \rm{fm}^{-1}$ and $1 ~
\rm{fm}^{-1}$. In this range, the results are scale invariant and provide an
overall goof agreement with the Nijmegen partial wave analysis up to at least
$E_{\rm{lab}} = 150 ~ \rm{MeV}$, with a cutoff at $\Lambda = 30~\rm{fm}^{-1}$.
