Abstract
Using the recently introduced “ k ⊥” jet clustering algorithm, we are able to compute the average number of hadronic jets produced in e +e − annihilation, as a function of both the centre-of-mass energy and the jet resolution parameter y cut. For large values of y cut, we give complete numerical results to order α S 2, using the results of Bethke et al. on multi-jet fractions to this order. For small values, we give the results of resumming leading and next-to-leading logarithms of y cut to all orders in QCD perturbation theory. Our predictions should be useful both for determining α S and for studying the transition from the perturbative to the hadronization regime at very small y cut.
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