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Abstract: We study the moments of hadronic event shapes in $e^+e^-$ annihilation withinthe context of next-to-next-to-leading order NNLO perturbative QCDpredictions combined with non-perturbative power corrections in the dispersivemodel. This model is extended to match upon the NNLO perturbative prediction.The resulting theoretical expression has been compared to experimental datafrom JADE and OPAL, and a new value for $\alpha sM Z$ has been determined, aswell as of the average coupling $\alpha 0$ in the non-perturbative region below$\mu I=2$ GeV within the dispersive model:\alpha sM Zand=0.1153\pm0.0017\mathrm{exp}\pm0.0023\mathrm{th},\alpha 0and=0.5132\pm0.0115\mathrm{exp}\pm0.0381\mathrm{th},The precision of the $\alpha sM Z$ value has been improved in comparison tothe previously available next-to-leading order analysis. We observe that theresulting power corrections are considerably larger than those estimated fromhadronization models in multi-purpose event generator programs.

Autor: T. Gehrmann, M. Jaquier, G. Luisoni

Fuente: https://arxiv.org/

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