# Modified combinant analysis of the $e^+e^-$ multiplicity distributions

## TL;DR

This paper investigates the oscillatory behavior of modified combinants derived from multiplicity distributions in $e^+e^-$ collisions, revealing stronger effects than in hadronic processes and explaining them via the Generalised Multiplicity Distribution.

## Contribution

It demonstrates the stronger oscillatory effects in $e^+e^-$ collisions and links these effects to the Generalised Multiplicity Distribution, expanding the understanding of multiplicity distributions.

## Key findings

- Stronger oscillatory behavior in $C_j$ for $e^+e^-$ collisions.
- Explanation of effects using the Generalised Multiplicity Distribution.
- Comparison with previous results in $pp$ and $p\bar{p}$ processes.

## Abstract

As shown recently, one can obtain additional information from the measured multiplicity distributions, $P(N)$, by extracting the so-called modified combinants, $C_j$. This information is encoded in their specific oscillatory behavior, which can be described only by some combinations of compound distributions, the basic part of which is the Binomial Distribution. So far this idea was applied to $pp$ and $p\bar{p}$ processes; in this note we show that an even stronger effect is observed in the $C_j$ deduced from $e^+e^-$ collisions. We present its possible explanation in terms of the so called Generalised Multiplicity Distribution (GMD) proposed some time ago.