Moments of the truncated multiplicity distributions

Abstract

In experiment, the multiplicity distributions of inelastic processes are truncated due to finite energy, insufficient statistics or special choice of events. It is shown that the moments of such truncated multiplicity distributions possess some typical features.In particular, the oscillations of cumulant moments at high ranks and their negative values at the second rank can be considered as ones most indicative on specifics of these distributions. They allow to distinguish between distributions of different type.

QCD and models on multiplicities in e + e − and $$p\bar p$$ interactions

“…10. However, one should be warned that the amplitudes of oscillations strongly depend on a multiplicity distribution cut-off due to limited experimental statistics (or by another reasoning) if it is done at rather low multiplicities [35]. Usually there are no such cut-offs in analytical expressions for H q .…”

“…Let us estimate the range of validity of considering large q values of H q moments imposed by some cut-offs (see also [35]). It is well known that experimental cut-offs of multiplicity distributions due to the limited statistics of an experiment can influence the behavior of H q moments.…”