Determination of the Strong Coupling \boldmath{\as} from hadronic Event Shapes and NNLO QCD predictions using JADE Data

C. Pahl; J. Schieck; S. Bethke; S. Kluth; the JADE Collaboration

Determination of the Strong Coupling boldmath{as} from hadronic Event Shapes and NNLO QCD predictions using JADE Data

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arxiv 0810.1389 v2 pith:TWTPMZ4J submitted 2008-10-08 hep-ex hep-ph

Determination of the Strong Coupling boldmath{as} from hadronic Event Shapes and NNLO QCD predictions using JADE Data

S. Bethke , S. Kluth , C. Pahl , J. Schieck , the JADE Collaboration This is my paper

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Event Shape Data from $e^+e^-$ annihilation into hadrons collected by the JADE experiment at centre-of-mass energies between 14 GeV and 44 GeV are used to determine the strong coupling $\alpha_S$. QCD predictions complete to next-to-next-to-leading order (NNLO), alternatively combined with resummed next-to-leading-log-approximation (NNLO+NLLA) calculations, are used. The combined value from six different event shape observables at the six JADE centre-of-mass energies using the NNLO calculations is $\alpha_S(M_Z)$= 0.1210 +/- 0.0007(stat.) +/- 0.0021(expt.) +/- 0.0044(had.) +/- 0.0036(theo.) and with the NNLO+NLLA calculations the combined value is $\alpha_S$= 0.1172 +/- 0.0006(stat.) +/- 0.0020(expt.) +/- 0.0035(had.) +/- 0.0030(theo.) . The stability of the NNLO and NNLO+NLLA results with respect to missing higher order contributions, studied by variations of the renormalisation scale, is improved compared to previous results obtained with NLO+NLLA or with NLO predictions only. The observed energy dependence of $\alpha_S$ agrees with the QCD prediction of asymptotic freedom and excludes absence of running with 99% confidence level.

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