Resummed multiplicity moments

The multiplicity distribution of hadrons in a jet is reanalysed. The O(1/√(ln(W2/ΛQCD2))) correction to the double-log summation is so large that its addition makes the values of the multiplicity moments unphysical at the current energies of e+e- annihilation. This implies the necessity of systematic resummation of the whole series in powers of 1/√(ln(W2/ΛQCD2)). 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. (orig.)