A study of event mixing for two-pion Bose-Einstein correlations in the {\gamma}p -> {\pi}^0 {\pi}^0 p reaction

TL;DR

This paper introduces an event mixing technique with specific cuts and a multi mixing mode to improve the measurement of two-pion Bose-Einstein correlations in photon-proton reactions, validated through numerical tests.

Contribution

It proposes a novel multi mixing mode and optimized cuts to enhance statistical accuracy and efficiency in measuring two-pion correlations in particle reactions.

Findings

Multi mixing mode improves statistical sample size.

Optimized MMC cut window enhances mixing speed.

Numerical tests confirm the method's effectiveness.

Abstract

We develop an event mixing technique with a missing mass consistency (MMC) cut and a pion energy (PE) cut for the measurement of two-pion Bose-Einstein correlations (BEC) in reactions with only two identical pions produced in the final state. A multi mixing mode that allows one event to be mixed with multiple other events is proposed for the purpose of improving the statistics of mixed samples, and compared with the single mixing mode which requires one original event can be mixed only once. Numerical tests using the {\gamma}p -> {\pi}^0 {\pi}^0 p events are used to testify its ability to measure two-pion correlations. To improve the mixing speed, the optimal MMC cut window is also explored via simulations.