Calculating particle correlators with the account of detector efficiency

TL;DR

This paper presents formulas for calculating particle correlators that incorporate detector efficiency, enabling more accurate analysis of particle observables in experimental physics despite increased computational complexity.

Contribution

It introduces explicit formulas for correlators K2 and K3 that account for detector efficiency, extending previous ideal detector models.

Findings

Formulas for correlators with efficiency are derived.

Computational complexity remains high despite the formulas.

The approach improves accuracy in particle correlation measurements.

Abstract

The formulae for correlators K2 and K3 of a given particle observable (e.g. energy or transverse momentum) accounting for the track reconstruction efficiency are presented. Similar to the case of an ideal detector, the correlators can be expressed through the event-by-event fluctuation of the observable single event mean and the observable pseudo-central moments. However, on the contrary to the ideal case, this splitting does not allow for a substantial reduction of the computation time.