The hadronic fragmentation functions of the various quark flavours and of gluons are measured in a study of the inclusive hadron production from Z0 decays with the DELPHI detector and are compared with the fragmentation functions measured elsewhere at energies between 14 GeV and 91 GeV. A large scaling violation is observed, which is used to extract the strong coupling constant from a fit using a numerical integration of the second order DGLAP evolution equations. The result is αs(MZ) = 0.124−0.007+0.006(exp) ± 0.009(theory) where the first error represents the experimental uncertainty and the second error is due to the factorization and renormalization scale dependence.
Abreu, P., Cortina Gil, E., DELPHI Collaboration, & et al. (1997). A Measurement of alpha-s from the scaling violation in e+ e- annihilation. Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics, 398(1-2), 194-206. https://doi.org/10.1016/S0370-2693(97)00256-6 (Original work published 1997)