  Determination of the proper power-counting scheme is an important issue for
the systematic application of Chiral Effective Field Theory in nuclear physics.
We analyze the cutoff dependence of three-nucleon observables (the
neutron-deuteron scattering lengths and the triton binding energy) at the
leading and next-to-leading orders of a power counting that ensures
order-by-order renormalization in the two-nucleon system. Our results imply
that three-body forces are not needed for renormalization of the three-nucleon
system up to next-to-leading order, as usually assumed in the literature.
(Erratum to the original article is included)
