  Long-range contributions to the three-nucleon force that have been recently
worked out in chiral effective field theory at next-to-next-to-next-to-leading
order are for the first time included in the triton and the doublet
nucleon-deuteron scattering length calculations. The strengths of the two
short-range terms available at this order in the chiral expansion are
determined from the triton binding energy and the neutron-deuteron doublet
scattering length. The structure of the resulting three-nucleon force is
explored and effects for the two-nucleon correlation function in the triton are
investigated. Expectation values of the individual contributions to the
three-nucleon force in the triton are found to be in the range from a few 100
keV to about 1 MeV. Our study demonstrates that the very complicated operator
structure of the novel chiral three-nucleon forces can be successively
implemented in three-nucleon Faddeev calculations.
