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We present a measurement of the strong coupling alpha_S using the three-jetrate measured with the Durham algorithm in e+e- -annihilation using data of theJADE experiment at centre-of-mass energies between 14 and 44 GeV. Recenttheoretical improvements provide predictions of the three-jet rate in e+e--annihilation at next-to-next-to-leading order. In this paper a measurement ofthe three-jet rate is used to determine the strong coupling alpha_s from acomparison to next-to-next-to-leading order predictions matched withnext-to-leading logarithmic approximations and yields a value for the strongcoupling alpha_S(MZ) = 0.1199+- 0.0010 (stat.) +- 0.0021 (exp.) +- 0.0054(had.) +- 0.0007 (theo.) consistent with the world average.

Measurement of the strong coupling alpha_S from the three-jet rate in e+e- - annihilation using JADE data