Superstatistics in high energy physics: Application to cosmic ray energy spectra and e+e- annihilation

TL;DR

This paper develops a superstatistical framework to model high-energy scattering processes, effectively fitting cosmic ray and e+e- annihilation spectra by incorporating temperature fluctuations, bridging statistical mechanics and experimental data.

Contribution

It introduces a superstatistical approach to high-energy physics, accounting for temperature fluctuations and providing accurate fits to experimental spectra and cross sections.

Findings

Excellent fits to cosmic ray energy spectra

Accurate modeling of e+e- annihilation cross sections

Superstatistics effectively captures temperature fluctuations in high-energy processes

Abstract

We work out a superstatistical description of high-energy scattering processes that takes into account temperature fluctuations in small volume elements. For Gamma-distributed fluctuations of the inverse temperature one effectively obtains formulas similar to those used in nonextensive statistical mechanics, whereas for other temperature distributions more general superstatistical models arise. We consider two main examples: Scattering processes of cosmic ray particles and e+e- annihilation processes. In both cases one obtains excellent fits of experimentally measured energy spectra and cross sections.