Abstract.
Infrared and collinear safe event shape distributions and their mean values are determined in \({\mathrm{e^+e^-}}\) collisions at centre-of-mass energies between 45 and 202GeV. A phenomenological analysis based on power correction models including hadron mass effects for both differential distributions and mean values is presented. Using power corrections, \(\alpha_s\) is extracted from the mean values and shapes. In an alternative approach, renormalisation group invariance (RGI) is used as an explicit constraint, leading to a consistent description of mean values without the need for sizeable power corrections. The QCD \(\beta\)-function is precisely measured using this approach. From the DELPHI data on Thrust, including data from low energy experiments, one finds
for the one loop coefficient of the \(\beta\)-function or, assuming QCD,
for the number of active flavours. These values agree well with the QCD expectation of \(\beta_0=7.67\) and \(n_{\mathrm{f}}=5\). A direct measurement of the full logarithmic energy slope excludes light gluinos with a mass below 5GeV.
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Received: 12 November 2002, Revised: 20 February 2003, Published online: 18 June 2003
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The DELPHI Collaboration. A study of the energy evolution of event shape distributions and their means with the DELPHI detector at LEP. Eur. Phys. J. C 29, 285–312 (2003). https://doi.org/10.1140/epjc/s2003-01198-0
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DOI: https://doi.org/10.1140/epjc/s2003-01198-0