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We compute the energy per particle of infinite symmetric nuclear matter fromchiral N3LO (next-to-next-to-next-to-leading order) two-body potentials plusN2LO three-body forces. The low-energy constants of the chiral three-nucleonforce that cannot be constrained by two-body observables are fitted toreproduce the triton binding energy and the 3H-3He Gamow-Teller transitionmatrix element. In this way, the saturation properties of nuclear matter arereproduced in a parameter-free approach. The equation of state is computed upto third order in many-body perturbation theory, with special emphasis on therole of the third-order particle-hole diagram. The dependence of these resultson the cutoff scale and regulator function is studied. We find that theinclusion of three-nucleon forces consistent with the applied two-nucleoninteraction leads to a reduced dependence on the choice of the regulator onlyfor lower values of the cutoff.

The nuclear matter equation of state with consistent two- and three-body perturbative chiral interactions