Abstract

We compute the total top-quark pair production cross section at the Tevatron and LHC based on approximate NNLO results, and on the summation of threshold logarithms and Coulomb enhancements to all orders with next-to-next-to-leading logarithmic (NNLL) accuracy, including bound-state effects. We find σ t t ¯ ( Tevatron ) = ( 7.22 − 0.47 + 0.31 − 0.55 + 0.71 ) pb , σ t t ¯ ( LHC , s = 7 TeV ) = ( 162.6 − 7.6 + 7.4 − 14.7 + 15.4 ) pb for m t = 173.3 GeV . The implementation of joint soft and Coulomb resummation, its ambiguities, and the present theoretical uncertainty are discussed in detail. We further obtain new approximate results at N 3LO.

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