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

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arxiv 0710.0346 v3 pith:2I3E2IQ4 submitted 2007-10-01 hep-ph

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

classification hep-ph
keywords contributionsinfrarednnloantennaeventfour-partonloopradiation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Forward citations

Cited by 4 Pith papers

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    Reviews selected challenges in Monte Carlo event generators for future lepton colliders including electroweak corrections, initial-state radiation, beam dynamics, perturbative QCD and non-perturbative modelling.