Bose-Einsten and other two particle correlations - MC study

TL;DR

This study uses Monte Carlo simulations to optimize reference distributions for Bose-Einstein correlation analysis, proposing a new method to reduce bias and analyze correlations without reference subtraction.

Contribution

It introduces a novel approach for reference sample selection and a new azimuthal angle difference definition to improve Bose-Einstein correlation analysis.

Findings

Optimal reference sample emulation involves rotating vectors by random angles.

New azimuthal angle difference reduces dependence on reference samples.

Ridge structures appear with specific invariant mass cuts.

Abstract

The Monte Carlo toy model of Bose-Einstein correlations is considered to make a best choice from different reference distributions. It occurs that the minimal bias in the Bose-Einstein correlation parameters estimation is provided by the reference sample which is being emulated from a real sample by the turn of all vectors in an event by a random angle in the transverse plane. It proposed to use similar approach in the analysis of two-dimensional correlation. To make the analysis less dependent on a reference sample, new definition of azimuthal angle difference is implemented as the angle between vectors in the transverse plane. Then one-dimensional correlation of azimuthal angles can be studied without a reference sample subtraction. The ridge in two-dimensional correlation appears if an appropriate cut in pair invariant masses is applied.