Abstract
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 αS. 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
and with the NNLO + NLLA calculations the combined value is
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 αS agrees with the QCD prediction of asymptotic freedom and excludes absence of running with 99% confidence level.
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Bethke, S., Kluth, S., Pahl, C. et al. Determination of the strong coupling αS from hadronic event shapes with \(\mathcal{O}(\ensuremath {\alpha _{\mathrm {S}}}^{3})\) and resummed QCD predictions using JADE data. Eur. Phys. J. C 64, 351–360 (2009). https://doi.org/10.1140/epjc/s10052-009-1149-1
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DOI: https://doi.org/10.1140/epjc/s10052-009-1149-1