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NNLO moments of event shapes in e+e- annihilation

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arxiv 0903.4658 v2 pith:TFV7WABE submitted 2009-03-26 hep-ph

A.Gehrmann-De Ridder , T.Gehrmann , E.W.N.Glover , G.Heinrich This is my paper
classification hep-ph
keywords correctionseventmomentsnnloannihilationdependenceenergyfirst
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 4 Pith papers

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