Abstract
We present a measurement of the strong coupling α S using the three-jet rate measured with the Durham algorithm in \(\mathrm{e^{+}e^{-}}\)-annihilation using data of the JADE experiment at centre-of-mass energies between 14 and 44 GeV. Recent theoretical improvements provide predictions of the three-jet rate in \(\mathrm{e^{+}e^{-}}\)-annihilation at next-to-next-to-leading order. In this paper a measurement of the three-jet rate is used to determine the strong coupling α S from a comparison to next-to-next-to-leading order predictions matched with next-to-leading logarithmic approximations and yields a value for the strong coupling consistent with the world average.
Highlights
The annihilation of an electron-positron pair into a pair of quarks provides an ideal laboratory to test the theory of the strong interaction, Quantum Chromodynamics (QCD) [2,3,4]
We present a measurement of the strong coupling αS using the three-jet rate measured with the Durham algorithm in e+e−-annihilation using data of the JADE experiment at centre-of-mass energies between 14 and 44 GeV
These predictions were used to determine αS based on a single value of the resolution parameter of the three-jet rate using the Durham algorithm [12], with data taken at a centre-ofmass energy at 91 GeV with the ALEPH experiment [13]
Summary
The annihilation of an electron-positron pair into a pair of quarks provides an ideal laboratory to test the theory of the strong interaction, Quantum Chromodynamics (QCD) [2,3,4]. To first order perturbation theory the radiation of a gluon from a quark is proportional to αS To determine this fundamental constant the observed three jet rate is compared to a perturbative expansion which predicts the three jet rate as a function of a single parameter αS [5,6,7]. E+e−-event shape distributions and the three-jet rate were only known to nextto-leading-order (NLO) accuracy, QCD calculations to next-to-next-to-leading-order (NNLO) are available. These predictions were used to determine αS based on a single value of the resolution parameter of the three-jet rate using the Durham algorithm [12], with data taken at a centre-ofmass energy at 91 GeV with the ALEPH experiment [13]
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