Event by event fluctuations of the source shape: implications for the Levy shape, and Event Shape Sorting

TL;DR

This paper investigates how event-by-event fluctuations influence the shape of correlation functions, revealing that averaging can produce Levy stable shapes and that event shape sorting uncovers azimuthal dependence of correlation radii.

Contribution

It demonstrates that Levy shapes can result from averaging over events and shows how event shape sorting reveals azimuthal dependence in correlation radii.

Findings

Averaging over many events can produce Levy stable correlation shapes.

Event Shape Sorting reveals different azimuthal dependence of correlation radii.

Event shape classification affects correlation function analysis.

Abstract

In the first part of this contribution we show that the Levy stable shape of the correlation function can be caused by averaging of the measured correlation functions over a large number of events. In the second part it is demonstrated how a sample of events sorted by Event Shape Sorting technique exhibits different azimuthal dependence of correlation radii in each event class.