NNLO moments of event shapes in e+e- annihilation

Abstract

We compute the next-to-next-to-leading order (NNLO) QCD corrections to the first five moments of six event shape variables related to three-particle final states in electron-positron annihilation; the thrust, the heavy jet mass, the C-parameter, the wide and total jet broadenings and the three-to-two-jet transition parameter in the Durham algorithm Y3. The NNLO corrections to the first moment are moderate for all event shapes, while the renormalisation scale dependence of the theoretical prediction is substantially reduced compared to the previously existing NLO results. From a comparison with data from JADE and OPAL, we observe that the energy dependence of the moments of the wide jet broadening and Y3 can be largely explained without any non-perturbative power corrections, while the other observables exhibit a clear need for power-like contributions at low centre-of-mass energy.

24 pages, 11 figures, replaced by published version, references updated

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Cited by in corpus (11)

• Event shapes and jet rates in electron-positron annihilation at NNLO
• Determination of the strong coupling constant using matched NNLO+NLLA predictions for hadronic event shapes in e+e- annihilations
• The infrared structure of e+ e- --> 3 jets at NNLO reloaded
• NLO Antenna Subtraction with Massive Fermions
• A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the iterated singly-unresolved subtraction terms
• Perturbative QCD effects and the search for a H->WW->l nu l nu signal at the Tevatron
• Two-Loop QCD Helicity Amplitudes for (2+1)-Jet Production in Deep Inelastic Scattering
• Electroweak corrections to three-jet production in electron-positron annihilation
• Double real radiation corrections to gluon scattering at NNLO
• NNLO jet cross sections by subtraction
• Particle Physics in the LHC Era and beyond