We describe a measurement of the strong coupling alpha_S(m_Z) from the 3-jet rate in hadronic final states of e+e- annihilation recorded with the JADE detector at centre-of-mass energies of 14 to 44 GeV. The jets are reconstructed with the Durham jet clustering algorithm. The JADE 3-jet rate data are compared with QCD predictions in NNLO combined with resummed NNLA calculations. We find good agreement between the data and the prediction and extract alpha_S(m_Z)= 0.1199 +/- 0.0010(stat.) +/- 0.0021(exp.) +/- 0.0054(had.) +/- 0.0007(theo.).
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