Second-order QCD corrections to the thrust distribution

Abstract

We compute the next-to-next-to-leading order (NNLO) QCD corrections to the thrust distribution in electron-positron annihilation. The corrections turn out to be sizable, enhancing the previously known next-to-leading order prediction by about 15%. Inclusion of the NNLO corrections significantly reduces the theoretical renormalisation scale uncertainty on the prediction of the thrust distribution.

4 pages

References in corpus (52)

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• Next-to-Leading Order Calculation of Four-Jet Shape Variables
• Two-loop amplitudes with nested sums: Fermionic contributions to e+ e- --> q qbar g
• QCD Corrections to Four-jet Production and Three-jet Structure in e+ e- annihilation

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