We present new results on the NNNLO top-antitop production cross section near
threshold from potential and ultrasoft gluon corrections. The new
non-logarithmic third-order terms are in the 10% range and lead to a
significant reduction in the theoretical error.Comment: 6 pages, to appear in the proceedings of 8th International Symposium
on Radiative Corrections (RADCOR 2007), Florence, Italy, October 1-
