Abstract
Using the recently formulated k ⊥-clustering algorithm for lepton-hadron collisions, we compute the average number of hadronic jets produced in deep inelastic scattering, as a function of the momentum transfer Q 2, the Bjorken variable x and the jet resolution parameter ƒ cut . For samll values of ƒ cut we are able to resum leading and next-to-leading logarithms of ƒ cut to all orders in QCD perturbation theory. The result is simply related to the average jet multiplicity in e + e − annihilation, with a structure-function-dependent correction. For larger values of ƒ cut we match the resummed predictions to first-order numerical results.
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