Multi-jet rates in deep inelastic scattering and in e+e− annihilation

Predictions for multi-jet rates in deep inelastic scattering (DIS), in the current fragmentation region, and in e+e− annihilation are derived using the so-called «k1-clustering» algorithm. The dependence of these ratesvs. Q2 andycut (the jet resolution parameter) is studied in detail and presented as an interesting test of perturbative QCD approaches for HERA and LEP (I and II) experiments.