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

الأصل · EN

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 alphaₛ by fitting perturbative QCD predictions at O(alphaₛ³) 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 alphaₛ(MZ) = 0.1175 +/- 0.0020(exp) /- 0.0015(theo), which is among the most precise determinations from jet observables at LEP.