2019 Impact factor 4.389
Particles and Fields

Eur. Phys. J. C 21, 199-210 (2001)
DOI: 10.1007/s100520100742

A measurement of the QCD colour factors using event shape distributions at $\sqrt{s}=14$ to 189 GeV

S. Kluth, P.A. Movilla Fernández, S. Bethke, C. Pahl and P. Pfeifenschneider

Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, Föhringer Ring 6, 80805 München, Germany

(Received: 3 May 2001 / Revised version: 2 June 2001 / Published online: 3 August 2001 -© Springer-Verlag / Società Italiana di Fisica 2001 )

Measurements of the QCD colour factors CA and CF and of the number of active quark flavours nf in the process $\mathrm{e^+e^-}\rightarrow\mathrm{hadrons}$ at high energy are presented. They are based on fits of $\mathcal{O}(\alpha_s^2)$+NLLA QCD calculations to distributions of the event shape observables 1-T, C, BT and BW measured at centre-of-mass energies from 14 GeV to 189 GeV. Hadronisation effects are approximated with power correction calculations which also depend on the QCD gauge structure. In this approach potential biases from hadronisation models are reduced. Our results for individually measured quantities obtained from 1-T and C are nf = 5.641.35, CA = 2.880.27 and CF = 1.450.27 in good agreement with QCD based on the SU(3) symmetry group where nf=5 for the energies considered here, CA=3 and CF=4/3. From simultaneous fits of CA and CF with 1-T and C we find CA = 2.840.24 and CF = 1.290.18 , which is also in good agreement with the QCD expectation.

© Società Italiana di Fisica, Springer-Verlag 2001