Testing new strongly intensive measures of transverse momentum fluctuations

TL;DR

This paper evaluates new strongly intensive measures of transverse momentum fluctuations, comparing their properties and performance against the traditional $\Phi$ measure using simulated data relevant to upcoming CERN experiments.

Contribution

It introduces and tests the properties of new strongly intensive fluctuation measures $\Delta$ and $\Sigma$ using simulated data, providing a comparison with the established $\Phi$ measure.

Findings

The new measures $\Delta$ and $\Sigma$ are robust and suitable for fluctuation analysis.

Comparison shows differences and potential advantages over the $\Phi$ measure.

Results are relevant for upcoming experimental studies at CERN.

Abstract

Recently, the new strongly intensive measures of fluctuations $\Delta$ and $\Sigma$ have been proposed. In this publication their properties are tested using an example of event-by-event transverse momentum fluctuations. The obtained values are compared to the long used $\Phi$ measure of pT fluctuations. Several tests are preformed within data produced by fast generators, as well as by the UrQMD model. The UrQMD calculations are presented for the systems and energies which are planned to be studied in the NA61/SHINE experiment at the CERN Super Proton Synchrotron.