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We present a new method for analyzing directed and elliptic flow in heavy ion collisions. Unlike standard methods, it separates the contribution of flow to azimuthal correlations from contributions due to other effects. The separation…

Nuclear Theory · Physics 2008-11-26 Nicolas Borghini , Phuong Mai Dinh , Jean-Yves Ollitrault

Collective anisotropic particle flow, a general phenomenon present in relativistic heavy-ion collisions, can be separated from direct particle-particle correlations of different physics origin by virtue of its specific azimuthal pattern. We…

Nuclear Experiment · Physics 2009-11-10 J. Bielcikova , S. Esumi , K. Filimonov , S. Voloshin , J. P. Wurm

Anisotropic flow measurements in heavy-ion collisions provide important information on the properties of hot and dense matter. These measurements are based on analysis of azimuthal correlations and might be biased by contributions from…

Nuclear Experiment · Physics 2011-10-18 Ante Bilandzic , Raimond Snellings , Sergei Voloshin

We have recently proposed a new method of flow analysis, based on a cumulant expansion of multiparticle azimuthal correlations. Here, we describe the practical implementation of the method. The major improvement over traditional methods is…

Nuclear Experiment · Physics 2007-05-23 Nicolas Borghini , Phuong Mai Dinh , Jean-Yves Ollitrault

Correlations of two or more particles have been an essential tool for understanding the hydrodynamic behavior of the quark-gluon plasma created in ultra-relativistic nuclear collisions. In this paper, we extend that framework to introduce a…

Nuclear Theory · Physics 2024-02-07 Abraham Holtermann , Jacquelyn Noronha-Hostler , Anne M. Sickles , Xiaoning Wang

We present a new method to extract anisotropic flow in heavy ion collisions from the genuine correlation among a large number of particles. Anisotropic flow is obtained from the zeroes in the complex plane of a generating function of…

Nuclear Theory · Physics 2009-11-10 R. S. Bhalerao , N. Borghini , J. -Y. Ollitrault

Applicability of anisotropic flow measurement techniques and their extension for detectors with non-uniform azimuthal acceptance are discussed. Considering anisotropic flow measurement with two and three (mixed harmonic) azimuthal…

Nuclear Theory · Physics 2008-11-26 Ilya Selyuzhenkov , Sergei Voloshin

The measurement of azimuthal distributions in nucleus-nucleus collisions relies upon the assumption that azimuthal correlations between particles result solely from their correlation with the reaction plane (i.e. flow). We show that at SPS…

Nuclear Theory · Physics 2007-05-23 Nicolas Borghini , Phuong Mai Dinh , Jean-Yves Ollitrault

It is shown that the Principal Component Analysis applied to azimuthal single-particle distributions allows to perform flow analysis in ways that are analogous to the traditional approaches based on multi-particle correlations. In…

Nuclear Theory · Physics 2020-08-28 Igor Altsybeev

The methods currently used to measure azimuthal distributions of particles in heavy ion collisions assume that all azimuthal correlations between particles result from their correlation with the reaction plane. However, other correlations…

Nuclear Theory · Physics 2009-11-06 Nicolas Borghini , Phuong Mai Dinh , Jean-Yves Ollitrault

A unified framework for describing the azimuthal dependence of two-particle correlations in heavy-ion collisions is introduced, together with the methods for measuring the corresponding observables. The generalization to azimuthal…

Nuclear Theory · Physics 2007-05-23 Nicolas Borghini

We present a systematic procedure for analyzing cumulants to arbitrary order in the context of heavy-ion collisions. It generalizes and improves existing procedures in many respects. In particular, particles which are correlated are allowed…

Nuclear Theory · Physics 2017-04-28 Philippe Di Francesco , Maxime Guilbaud , Matthew Luzum , Jean-Yves Ollitrault

We present the generalization of recently introduced observables for the studies of correlated fluctuations of different anisotropic flow amplitudes, dubbed Symmetric Cumulants. We introduce a new set of higher order observables and outline…

Nuclear Experiment · Physics 2020-08-19 Cindy Mordasini , Ante Bilandzic , Deniz Karakoç , Seyed Farid Taghavi

We consider various methods of flow analysis in heavy ion collisions and compare experimental data on corresponding observables to the predictions of our saturation model proposed earlier. We demonstrate that, due to the nature of the…

Nuclear Theory · Physics 2009-11-07 Yuri V. Kovchegov , Kirill L. Tuchin

Multi-particle correlations between azimuthal angle and mean transverse momentum are a powerful tool for probing size and shape correlations in the initial conditions of heavy-ion collisions. These correlations have also been employed to…

Nuclear Theory · Physics 2025-04-07 Emil Gorm Dahlbæk Nielsen , Nina Nathanson , Kristjan Gulbrandsen , You Zhou

Multi-particle cumulants of azimuthal angle correlations have been compelling tools to probe the properties of the Quark-Gluon Plasma (QGP) created in the ultra-relativistic heavy-ion collisions and the search for the QGP in small collision…

Nuclear Theory · Physics 2021-03-03 Zuzana Moravcova , Kristjan Gulbrandsen , You Zhou

A new analytical approach is presented for analysis of two-particle azimuthal correlations in heavy ion collisions at relativistic energies. This approach suggests that elliptic flow measured by experiment has a compound structure, namely,…

Nuclear Theory · Physics 2007-05-23 V. A. Okorokov

We present a new method for analysing directed flow, based on a three-particle azimuthal correlation. It is less biased by nonflow correlations than two-particle methods, and requires less statistics than four-particle methods. It is…

Nuclear Theory · Physics 2009-11-07 N. Borghini , P. M. Dinh , J. -Y. Ollitrault

We reconcile for the first time the strict mathematical formalism of multivariate cumulants with the usage of cumulants in anisotropic flow analyses in high-energy nuclear collisions. This reconciliation yields to the next generation of…

Data Analysis, Statistics and Probability · Physics 2022-03-14 Ante Bilandzic , Marcel Lesch , Cindy Mordasini , Seyed Farid Taghavi

We present a new method to analyze anisotropic flow from the genuine correlation among a large number of particles, focusing on the practical implementation of the method.

Nuclear Theory · Physics 2007-05-23 N. Borghini , R. S. Bhalerao , J. -Y. Ollitrault
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