Differential Correlation Measurements with the Identity Method

TL;DR

This paper extends the identity method to measure differential correlations in particle physics, enabling more detailed analysis of particle interactions and flow, adaptable to multiple identification devices.

Contribution

The paper introduces a generalized extension of the identity method for differential correlation measurements, accommodating multiple particle identification signals.

Findings

Extended the identity method for differential correlation analysis.

Demonstrated applicability to normalized two-particle cumulant $R_2$.

Flexible framework for various correlation measurements.

Abstract

We present an extension of the identity method initially introduced for particle yield fluctuation studies towards measurements of differential correlations. The extension is developed and illustrated in the context of measurements of the normalized two-particle cumulant $R_2$ but is adaptable to any correlation measurements, including differential flow measurements. The identity method is also extended to account for an arbitrary number of particle identification devices and signals.