Abstract
The multiplicity distribution of hadrons in a jet is reanalysed. The\(\mathcal{O}(1/\sqrt {\ln (W^2 /\Lambda _{QCD}^2 )} )\) correction to the double-log summation is so large that its addition makes the value of the multiplicity moments unphysical at the current energies ofe+e− annihilation. This implies the necessity of systematic resummation of the whole series in powers of\(1/\sqrt {\ln (W^2 /\Lambda _{QCD}^2 )} \). In this article we perform this resummation. In fact, a formal exact solution of the integral equation, which gives recursion relations among the multiplicity moments, takes the form of a geometric series. The resummation reduces the correction substantially.
Published Version
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