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Precise determination of the strong coupling constant at NNLO in QCD from the three-jet rate in electron--positron annihilation at LEP

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arxiv 0910.4283 v2 pith:HPGP5MTE submitted 2009-10-22 hep-ph

G. Dissertori , A. Gehrmann-De Ridder , T. Gehrmann , E.W.N. Glover , G. Heinrich , H. Stenzel This is my paper · ORCID
classification hep-ph
keywords alpharatethree-jetannihilationconstantcouplingdeterminationnnlo
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We present the first determination of the strong coupling constant from the three-jet rate in e+e- annihilation at LEP, based on a next-to-next-to-leading order (NNLO) perturbative QCD prediction. More precisely, we extract alpha_s by fitting perturbative QCD predictions at O(alpha_s^3) to data from the ALEPH experiment at LEP. Over a large range of the jet-resolution parameter ycut this observable is characterised by small non-perturbative corrections and an excellent stability under renormalisation scale variation. For the three-jet rate at ln(ycut) = -3.9 we find alpha_s(MZ) = 0.1175 +/- 0.0020(exp) \+/- 0.0015(theo), which is among the most precise determinations from jet observables at LEP.

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