Abstract.
The fragmentation functions of quarks and gluons are measured in various three-jet topologies in Z decays from the full data set collected with the Delphi detector at the Z resonance between 1992 and 1995. The results at different values of transverse momentum-like scales are compared. A parameterization of the quark and gluon fragmentation functions at a fixed reference scale is given. The quark and gluon fragmentation functions show the predicted pattern of scaling violations. The scaling violation for quark jets as a function of a transverse momentum-like scale is in a good agreement with that observed in lower energy \({\rm e}^+{\rm e}^-\) annihilation experiments. For gluon jets it appears to be significantly stronger. The scale dependences of the gluon and quark fragmentation functions agree with the prediction of the DGLAP evolution equations from which the colour factor ratio \(C_A/C_F\) is measured to be:
\begin{eqnarray*} \frac{C_A}{C_F} = 2.26 \pm 0.09_{stat.} \pm 0.06_{sys.} \pm 0.12_{clus.,scale}\, . \end{eqnarray*}
Similar content being viewed by others
Author information
Authors and Affiliations
Consortia
Additional information
Received: 5 November 1999 / Published online: 25 February 2000
Rights and permissions
About this article
Cite this article
The DELPHI Collaboration., Abreu et al., P. Measurement of the gluon fragmentation function and a comparison of the scaling violation in gluon and quark jets. Eur. Phys. J. C 13, 573–589 (2000). https://doi.org/10.1007/s100520000313
Issue Date:
DOI: https://doi.org/10.1007/s100520000313