Multiplicity distributions in e+e- annihilation into hadrons and pure birth branching processes

Details Multiplicity distributions in e+e- annihilation into hadrons and pure birth branching processes Multiplicity distributions in e+e- annihilation into hadrons and pure birth branching processes

1999-12-03

arxiv.org/abs/hep-ph/9912237v1

Phys.Lett. B471 (2000) 400; Erratum-ibid. B478 (2000) 459

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, Latex2e, JHEP.cls, 2 EPS figures, to be published in Phys.Lett. B

Scientific paper

10.1016/S0370-2693(99)01411-2

Recursive solution for a general homogeneous in time pure birth branching process with simultaneous production of any number of particles and with continuous evolution parameter is given. Calculational algorithm based on the use of Koenigs function and functional Schroder equation is described. It is shown that multiplicity distributions in e+e- annihilation into hadrons for c.m. energies up to 189 GeV are well described by the modified negative binomial distribution, explained by simple pure birth branching process without multiple simultaneous particle production. The energy dependence of the evolution parameter is also discussed.

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