Hadron multiplicity as the limit of jet multiplicity at high resolution

Abstract

Recently exact numerical results from the evolution equation for parton multiplicities in QCD jets have been obtained. A comparison with various approximate results is presented. A good description is obtained not only of the jet multiplicities measured at LEP-1 but also of the hadron multiplicities for cms energies above 1.6 GeV in annihilation. The solution suggests that a final state hadron can be represented by a jet in the limit of small (nonperturbative) k cut-off Q0. In this description using as adjustable parameters only the QCD scale and the cut-off Q0, the coupling αs can be seen to rise towards large values above unity at low energies.

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