Partial wave analysis of nucleon-nucleon scattering with a chiral potential at fifth order

We use neutron-proton and proton-proton scattering data to determine the low-energy constants of the novel semilocal two-nucleon potentials up to fifth order in chiral effective field theory. To minimize the sensitivity to the chosen energy range, the novel approach to estimate the theoretical uncertainty from the truncation of the chiral expansion is incorporated in the fit procedure. The resulting phase shifts and mixing angles are in a good agreement with the partial wave analyses by the Nijmegen and Granada groups within the estimated theoretical uncertainties. We give χ² per datum values and effective range parameters for different ultraviolet cutoffs and chiral orders. Furthermore, we discuss the uncertainty stemming from F-waves which are still free of adjustable parameters at fifth order in the chiral expansion.