Infrared structure of e+e- --> 3 jets at NNLO

Abstract

We describe the calculation of the next-to-next-to-leading order (NNLO) QCD corrections to three-jet production and related event shape observables in electron-positron annihilation. Infrared singularities due to double real radiation at tree level and single real radiation at one loop are subtracted from the full QCD matrix elements using antenna functions, which are then integrated analytically and added to the two loop contribution. Using this antenna subtraction method, we obtain numerically finite contributions from five-parton and four-parton processes, and observe an explicit analytic cancellation of infrared poles in the four-parton and three-parton contributions. All contributions are implemented in a flexible parton-level event generator programme, allowing the numerical computation of any infrared-safe observable related to three-jet final states to NNLO accuracy.

An oversubtraction of large-angle soft radiation has been corrected. New version contains detailed explanation of the correction terms, and a discussion of their numerical impact

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Cited by in corpus (20)

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• Two-Loop Planar Corrections to Heavy-Quark Pair Production in the Quark-Antiquark Channel
• NNLO moments of event shapes in e+e- annihilation
• Non-Perturbative Contribution to the Thrust Distribution in $e^{+}{e}^{-}$ Annihilation
• The infrared structure of e+ e- --> 3 jets at NNLO reloaded
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• Master Integrals for Fermionic Contributions to Massless Three-Loop Form Factors
• The one-loop gluon amplitude for heavy-quark production at NNLO
• Matching NLLA+NNLO for event shape distributions
• QCD radiation effects on the H->WW->l nu l nu signal at the LHC
• Two-Loop QCD Helicity Amplitudes for (2+1)-Jet Production in Deep Inelastic Scattering
• Electroweak corrections to three-jet production in electron-positron annihilation
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