NNNLO results on top-quark pair production near threshold

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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.
6 pages, to appear in the proceedings of 8th International Symposium on Radiative Corrections (RADCOR 2007), Florence, Italy, October 1-5

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