On long-range pionic Bose-Einstein correlations -- Including analyses of OPAL, L3 and CMS BECs

TL;DR

This paper introduces an analytic form for long-range Bose-Einstein correlations in pionic systems and applies it to analyze experimental data from OPAL, L3, and CMS, demonstrating consistency with the $ au$-model.

Contribution

It proposes a new analytic model for long-range BECs and validates it against multiple experimental datasets using the $ au$-model.

Findings

Parameters are consistent across different approaches.

The analytic form effectively describes BEC data at various energies.

Pion-pair density distributions are analyzed using Fourier transforms.

Abstract

Long-range correlation plays an important role in analyses of pionic Bose-Einstein correlations (BECs). In many cases, such correlations are phenomenologically introduced. In this investigation, we propose an analytic form. By making use of the form, we analyze the OPAL BEC and the L3 BEC at $Z^0$-pole and the CMS BEC at 0.9 and 7 TeV using our formulas and the $\tau$-model. The parameters estimated by both approaches are found to be consistent. Utilizing the Fourier transform in four-dimensional Euclidean space, a number of pion-pair density distributions are also studied.