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e^+ e^- -> 3 jets and event shapes at NNLO

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arxiv 0806.4601 v1 pith:W6E5YWQR submitted 2008-06-27 hep-ph

classification hep-ph
keywords correctionseventnnloshapebetterconsiderablydifferentdistributions
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We report on the calculation of NNLO corrections to the 3-jet cross section and related event shape distributions in electron-positron annihilation. The corrections are sizable for all variables, however the magnitude of the corrections is substantially different for different observables. We observe that inclusion of the NNLO corrections yields a considerably better agreement between theory and experimental data both in shape and normalization of the event shape distributions in the region where the perturbative result is expected to hold. A new extraction of $\alpha_{s}$ using the event shape variables up to NNLO yields a considerably better consistency between the observables indicating a stabilization of the perturbative corrections at this order.

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    The leading logarithmic correction to the 1/Q power correction for thrust and C-parameter is computed, with a sizeable coefficient S1 ≈ 2.455 and a universal C-to-thrust ratio of 3π/2.

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