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Differences between q and g jets

In QCD, the gluon is associated with a color charge and the quark with a charge . The larger color charge of the gluon means that it is more likely to radiate an additional gluon than a quark, leading to differences in the expected properties of quark- and gluon-induced jets. For quark and gluon jets produced with the same energy and under the same conditions, gluon jets are expected to have a larger mean particle multiplicity than quark jets [59]. The larger multiplicity of the gluon jet implies that its particle energy spectrum, known as the fragmentation function, is softer. A related prediction is that the mean opening angle of particles in a gluon jet is larger than in a quark jet [60]: thus the gluon jets are broader. Much experimental effort has been invested in an attempt to observe these predicted differences (for a recent compilation, see [61] and references therein). Before LEP 1, there were experimental indications that gluon jets were indeed broader than quark jets, based on measurements of the mean transverse momentum of particles in a jet with respect to the jet axis, or similar variables. However, contradictory results were published concerning differences between the quark and gluon jet fragmentation functions, while no evidence was found for a multiplicity difference between the two jet types. In general, it proved difficult to obtain conclusive results on quark-gluon jet differences at facilities before LEP 1 either because biases were introduced by assuming the gluon jets to be the lowest energy jets in e three-jet events or else because there was no event-by-event identification of gluon jets with a resulting lack of sensitivity.

Due to large event statistics and good detector capabilities, the LEP experiments have been able to settle the experimental question of quark and gluon jet differences [62,63]. Three aspects of the LEP 1 studies allow this success. (1) Symmetric events were selected in which the quark and gluon jets being compared had the same energy and angles relative to the other jets, allowing a direct, model independent comparison of the jet properties. (2) The quark jets were tagged, leading to identification of the gluon jets with better than 90% purity through anti-tagging. (3) The anti-tagged gluon jet data were combined algebraically with the quark and gluon jet data from the untagged, symmetric events, leading to separated quark and gluon jet measurements with essentially no biases except from the jet definition. In the first LEP 1 studies, the quark jet samples were the natural ones for Z decay, given by the Z coupling strength to the individual flavors, corresponding to roughly 20% d, u, s, c and b quarks. In later studies, b quark jets and uds quark jets were explicitly selected to compare to gluon jets [64].

These studies resulted in a confirmation of the qualitative differences between quark and gluon jets given above. Selecting 24 GeV jets in a so-called ``Y'' symmetric event topology, it was shown that gluon jets were 60--80% broader than quark jets as measured by the full width at half maximum of the differential energy and multiplicity profiles [65]. The fragmentation function of the gluon jet was observed to be much softer than that of the quark jet. The mean charged particle multiplicity of gluon jets was found to exceed that of quark jets by 20--25%. Besides the Y events, DELPHI [63] studied 30 GeV jets from three-fold symmetric ``Mercedes'' events and obtained similar results. The comparison of the fragmentation function of quark and gluon jets in Y and Mercedes events shows the expected stronger energy dependence for gluon jets. Extensive comparisons of Monte Carlo predictions to the quark and gluon jet data are presented in [65] and [64]. ARIADNE, HERWIG and JETSET were found to be in good agreement with the measurements. The COJETS agreement was somewhat less good.

ALEPH [66] extended these studies by including a measurement of sub-jet multiplicities [67]. For small values of the sub-jet resolution scale, (defined using the jet finder), the ratio of the gluon to quark jet mean sub-jet multiplicity was found to be similar to the hadron level value of about 1.2 discussed above. After subtracting one from the mean sub-jet multiplicities to account for the contributions of the initiating quarks and gluons, the sub-jet multiplicity ratio of gluon to quark jets was observed to reach a much larger value of about 2.0 as approached the resolution scale at which the jets were defined. The explanation for this is that the mean sub-jet multiplicity of the quark jets approaches unity slightly before that of the gluon jets as . ARIADNE, HERWIG, JETSET and NLLJET were all found to reproduce the measurement.

Beyond these studies based on symmetric events, ALEPH and DELPHI have examined quark and gluon jet properties in non-symmetric three-jet event configurations. The DELPHI approach [63] is to identify gluon jets in three-jet events using anti-tagging methods as mentioned above. The gluon jet properties were compared to those of quark jets with similar energies found in radiative QED q events. The qualitative differences discussed above between quark and gluon jets were observed to be present for jet energies between 5 and 40 GeV and were well reproduced by JETSET. ALEPH [68] introduced a new method to study the multiplicity difference between quark and gluon jets in three-jet events, by examining the mean charged particle multiplicity of the entire event as a function of the energies and opening angles of the jets in the event. Assuming each event to be composed of a gluon jet and two quark jets, and that every particle in an event could be associated with one of these jets, a fit was made to extract a value for the ratio of the mean charged particle multiplicity values of gluon to quark jets, . The result for all jet energies and event topologies was . The fit results were found to agree well with those from the symmetric Y analyses when they were restricted to that geometric situation.

Thus the basic differences expected between quark and gluon jets --- a larger mean multiplicity, a softer fragmentation function and a larger angular width of gluon relative to quark jets --- are now all well established by the LEP 1 experiments. The QCD models are in good overall agreement with the measured differences. Future effort in this field at LEP 1 will probably include studies of differences in the identified particle rates in gluon and quark jets, differences in particle correlation phenomena and attempts to reduce the reliance of the analysis method on the jet definition (as the ALEPH study [68] discussed above attempts to do). Already, L3 has presented results which indicate an enhanced meson production rate in gluon jets compared to the rates predicted by HERWIG and JETSET [50]. This suggests that the models for gluon jets may need to be modified to allow for an enhanced production of isosinglet mesons [69].



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Next: Coherence Up: Experience from LEP Previous: Particle composition and



©1995 I. Knowles (I.Knowles@physics.gla.ac.uk)