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Generic framework for anisotropic flow analyses with multiparticle azimuthal correlations

2013/12/20 by A. Bilandzic, Ante Bilandzic, Christian Holm Christensen +6 · 6 citations
Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Algorithm #Anisotropy #Applied mathematics #Azimuth #Computer science #Detector #Differential (mechanical device) #Flow (mathematics) #Granularity #Groundwater flow and contamination studies #High-Energy Particle Collisions Research #Mathematics #Mechanics #Observable #Optics #Physics #Quantum mechanics #Soil and Unsaturated Flow #Statistical physics #Theoretical physics #nucl-ex

paper · pdf · doi:10.1103/physrevc.89.064904

published as Phys. Rev. C 89, 064904 (2014) · 25 pages, 15 figures. Updates in version 2: Most notably, the pseudo-code for recursive algorithms in (24) and (27) was refurbished, the plotting style in all figures has been unified, the references were refreshed, text has been improved here and there. Submitted to PRC

arxiv created 2013/12/20 · openalex publication_date 2014/06/09 · arxiv updated 2014/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present a new generic framework which enables exact and efficient evaluation of all multiparticle azimuthal correlations. The framework can be readily used along with a correction framework for systematic biases in anisotropic flow analyses owing to various detector inefficiencies. A new recursive algorithm has been developed for higher-order correlators for the cases where their direct implementation is not feasible. We propose and discuss new azimuthal observables for anisotropic flow analyses which can be measured for the first time with our new framework. The effect of finite detector granularity on multiparticle correlations is quantified and discussed in detail. We point out the existence of a systematic bias in traditional differential flow analyses which stems solely from the applied selection criteria on particles used in the analyses and is also present in the ideal case when only flow correlations are present. Finally, we extend the applicability of our generic framework to the case of differential multiparticle correlations.

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