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We present predictions for the equation of state of symmetric nuclear andpure neutron matter based on recent high-quality nucleon-nucleon potentialsfrom leading order to fifth order in the chiral expansion. We include as wellthe next-to-next-to-leading order (N2LO) chiral three-nucleon force whoselow-energy constants cD and cE are fitted to the binding energies of 3H and 3Heas well as the \b{eta}-decay lifetime of 3H. The ground state energy perparticle is computed in the particle- particle ladder approximation up to a fewtimes saturation density. Due to the soft character of the interactions,uncertainties due to the convergence in many-body perturbation theory aresmall. We find that nuclear matter saturation is reproduced quantitatively atN3LO and N4LO, and therefore we encourage the application of these interactionsin finite nuclei, where the description of ground- state energies and chargeradii of medium-mass nuclei may be improved.

Nuclear and neutron matter equations of state from high-quality potentials up to fifth order of the chiral expansion