On the possibility of q-scaling in high energy production processes

TL;DR

The paper demonstrates that high energy production process data can be scaled using a specific variable, allowing all transverse momentum distributions to be fitted by a universal Tsallis distribution with a constant q parameter.

Contribution

It introduces a variable transformation that reveals a universal q-scaling behavior in transverse momentum distributions across different energies.

Findings

Universal q-scaling observed in data

Same Tsallis distribution fits all energies

Energy independence of the q parameter

Abstract

It has been noticed recently that transverse momenta (p_T) distributions observed in high energy production processes exhibit remarkably universal scaling behaviour. This is the case when a suitable variable replaces the usual p_T. On the other hand, it is also widely known that transverse momentum distributions in general follow a power-like Tsallis distribution, rather than an exponential Boltzmann-Gibbs, with a (generally energy dependent) nonextensivity parameter q. Here we show that it is possible to choose a suitable variable such that all the data can be fitted by the same Tsallis distribution (with the same, energy independent value of the q-parameter). Thus they exhibit q-scaling.