  We calculate the energy per particle in infinite neutron matter
perturbatively using chiral N3LO two-body potentials plus N2LO three-body
forces. The cutoff dependence of the predictions is investigated by employing
chiral interactions with different regulators. We find that the inclusion of
three-nucleon forces, which are consistent with the applied two-nucleon
interaction, leads to a strongly reduced regulator dependence of the results.
