We present the dominant two- and three-pion-exchange contributions to the nucleon-nucleon interaction at sixth order (next-to-next-to-next-to-next-to-next-to-leading order, ${\mathrm{N}}^{5}\mathrm{LO}$) of chiral perturbation theory. Phase shifts with orbital angular momentum $L\ensuremath{\ge}4$ a...
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