Measurement of the gluon fragmentation function and a comparison of the scaling violation in gluon and quarks jets

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 e+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 CA/CF is measured to be: CACF=2.26±0.09stat.±0.06sys.±0.12clus.,scale.
Description
Bibliographic reference
DELPHI Collaboration Alemany, R. Cabrera Urbán, Susana Castillo Giménez, María Victoria Cortina, E. Ferrer Soria, Antonio Fuster Verdú, Juan A. García García, Carmen Gil, I. Hernández Rey, Juan José Higón Rodríguez, Emilio Martínez Vidal, Fernando Navas, S. Salt Cairols, José 2000 Measurement of the gluon fragmentation function and a comparison of the scaling violation in gluon and quarks jets European Physical Journal C 13 4 573 589
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