Generalised Tsallis Statistics in Electron-Positron Collisions

TL;DR

This paper explores a microcanonical generalisation of Tsallis statistics to describe charged hadron fragmentation functions in electron-positron collisions, achieving good agreement with experimental data across a range of energies.

Contribution

It introduces a novel microcanonical Tsallis distribution based on superstatistics and KNO scaling, extending the applicability of Tsallis statistics in high-energy physics.

Findings

Good fit to fragmentation data up to x≈1

Proposes a microcanonical generalisation of Tsallis distribution

Demonstrates scaling behavior in multiplicity distributions

Abstract

The scaling of charged hadron fragmentation functions to the Tsallis distribution for $0.01 \lessapprox x \lessapprox 0.2$ is presented for various $e^+e^-$ collision energies. A possible microcanonical generalisation of the Tsallis distribution is proposed, which gives good agreement with measured data up to $x\approx1$. The proposal is based on superstatistics and a $KNO$ like scaling of multiplicity distributions in $e^+e^-$ experiments.