Decomposition of multi-particle azimuthal correlations in Q-cumulant analysis*
Abstract
Abstract The method of Q-cumulants is a powerful tool to study the fine details of azimuthal anisotropies in high energy nuclear collisions. This paper presents a new method, based on mathematical induction, to evaluate the analytical form of the high-order Q-cumulants. The ability of this method is demonstrated via a toy model that uses the elliptic power distribution to simulate anisotropic emission of particles, quantified in terms of Fourier flow harmonics v n . The method can help in studying the large amount of event statistics that can be collected in the future, and to allow measurements of very high central moments of the v 2 distribution. This can in turn facilitate progress in understanding the initial geometry, input to hydrodynamic calculations of medium expansion in high energy nuclear collisions, as well as constraints on it. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciencemore »
- Authors:
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 2001344
- Alternate Identifier(s):
- OSTI ID: 1994233
- Resource Type:
- Published Article
- Journal Name:
- Chinese Physics C, High Energy Physics and Nuclear Physics
- Additional Journal Information:
- Journal Name: Chinese Physics C, High Energy Physics and Nuclear Physics Journal Volume: 47 Journal Issue: 10; Journal ID: ISSN 1674-1137
- Publisher:
- IOP Publishing
- Country of Publication:
- China
- Language:
- English
Citation Formats
Nađđerđ, L., Milošević, J., Devetak, D., and Wang 王, Fu-Qiang 福强. Decomposition of multi-particle azimuthal correlations in Q-cumulant analysis*. China: N. p., 2023.
Web. doi:10.1088/1674-1137/acee56.
Nađđerđ, L., Milošević, J., Devetak, D., & Wang 王, Fu-Qiang 福强. Decomposition of multi-particle azimuthal correlations in Q-cumulant analysis*. China. https://doi.org/10.1088/1674-1137/acee56
Nađđerđ, L., Milošević, J., Devetak, D., and Wang 王, Fu-Qiang 福强. Sun .
"Decomposition of multi-particle azimuthal correlations in Q-cumulant analysis*". China. https://doi.org/10.1088/1674-1137/acee56.
@article{osti_2001344,
title = {Decomposition of multi-particle azimuthal correlations in Q-cumulant analysis*},
author = {Nađđerđ, L. and Milošević, J. and Devetak, D. and Wang 王, Fu-Qiang 福强},
abstractNote = {Abstract The method of Q-cumulants is a powerful tool to study the fine details of azimuthal anisotropies in high energy nuclear collisions. This paper presents a new method, based on mathematical induction, to evaluate the analytical form of the high-order Q-cumulants. The ability of this method is demonstrated via a toy model that uses the elliptic power distribution to simulate anisotropic emission of particles, quantified in terms of Fourier flow harmonics v n . The method can help in studying the large amount of event statistics that can be collected in the future, and to allow measurements of very high central moments of the v 2 distribution. This can in turn facilitate progress in understanding the initial geometry, input to hydrodynamic calculations of medium expansion in high energy nuclear collisions, as well as constraints on it. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.},
doi = {10.1088/1674-1137/acee56},
journal = {Chinese Physics C, High Energy Physics and Nuclear Physics},
number = 10,
volume = 47,
place = {China},
year = {Sun Oct 01 00:00:00 EDT 2023},
month = {Sun Oct 01 00:00:00 EDT 2023}
}
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Works referenced in this record:
New method for measuring azimuthal distributions in nucleus-nucleus collisions
journal, April 2001
- Borghini, Nicolas; Dinh, Phuong Mai; Ollitrault, Jean-Yves
- Physical Review C, Vol. 63, Issue 5
Flow study in relativistic nuclear collisions by Fourier expansion of azimuthal particle distributions
journal, May 1996
- Voloshin, S.; Zhang, Y.
- Zeitschrift f�r Physik C Particles and Fields, Vol. 70, Issue 4
Skewness of elliptic flow fluctuations
journal, January 2017
- Giacalone, Giuliano; Yan, Li; Noronha-Hostler, Jacquelyn
- Physical Review C, Vol. 95, Issue 1
First Results from Pb+Pb Collisions at the LHC
journal, November 2012
- Müller, Berndt; Schukraft, Jürgen; Wysłouch, Bolesław
- Annual Review of Nuclear and Particle Science, Vol. 62, Issue 1
Eccentricity distributions in nucleus-nucleus collisions
journal, August 2014
- Yan, Li; Ollitrault, Jean-Yves; Poskanzer, Arthur M.
- Physical Review C, Vol. 90, Issue 2
Observation and studies of jet quenching in PbPb collisions at TeV
journal, August 2011
- Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M.
- Physical Review C, Vol. 84, Issue 2
Quark–gluon plasma and color glass condensate at RHIC? The perspective from the BRAHMS experiment
journal, August 2005
- Arsene, I.; Bearden, I. G.; Beavis, D.
- Nuclear Physics A, Vol. 757, Issue 1-2
Standardized cumulants of flow harmonic fluctuations
journal, August 2018
- Abbasi, Navid; Allahbakhshi, Davood; Davody, Ali
- Physical Review C, Vol. 98, Issue 2
Determination of the reaction plane in ultrarelativistic nuclear collisions
journal, August 1993
- Ollitrault, Jean-Yves
- Physical Review D, Vol. 48, Issue 3
Methods for analyzing anisotropic flow in relativistic nuclear collisions
journal, September 1998
- Poskanzer, A. M.; Voloshin, S. A.
- Physical Review C, Vol. 58, Issue 3
Experimental and theoretical challenges in the search for the quark–gluon plasma: The STAR Collaboration's critical assessment of the evidence from RHIC collisions
journal, August 2005
- Adams, J.; Aggarwal, M. M.; Ahammed, Z.
- Nuclear Physics A, Vol. 757, Issue 1-2
Observation of a Centrality-Dependent Dijet Asymmetry in Lead-Lead Collisions at with the ATLAS Detector at the LHC
journal, December 2010
- Aad, G.; Abbott, B.; Abdallah, J.
- Physical Review Letters, Vol. 105, Issue 25
The PHOBOS perspective on discoveries at RHIC
journal, August 2005
- Back, B. B.; Baker, M. D.; Ballintijn, M.
- Nuclear Physics A, Vol. 757, Issue 1-2
Flow analysis from multiparticle azimuthal correlations
journal, September 2001
- Borghini, Nicolas; Dinh, Phuong Mai; Ollitrault, Jean-Yves
- Physical Review C, Vol. 64, Issue 5
Formation of dense partonic matter in relativistic nucleus–nucleus collisions at RHIC: Experimental evaluation by the PHENIX Collaboration
journal, August 2005
- Adcox, K.; Adler, S. S.; Afanasiev, S.
- Nuclear Physics A, Vol. 757, Issue 1-2
Statistical uncertainties of the
v n { 2 k } Q
journal, September 2021
- Nadderd, L.; Milosevic, J.; Wang, F.
- Physical Review C, Vol. 104, Issue 3
Suppression of charged particle production at large transverse momentum in central Pb–Pb collisions at <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msqrt><mml:msub><mml:mi>s</mml:mi><mml:mi mathvariant="italic">NN</mml:mi></mml:msub></mml:msqrt><mml:mo>=</mml:mo><mml:mn>2.76</mml:mn><mml:mtext> TeV</mml:mtext></mml:math>
journal, January 2011
- Aamodt, K.; Abrahantes Quintana, A.; Adamová, D.
- Physics Letters B, Vol. 696, Issue 1-2
ROOT — An object oriented data analysis framework
journal, April 1997
- Brun, Rene; Rademakers, Fons
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 389, Issue 1-2
Flow analysis with cumulants: Direct calculations
journal, April 2011
- Bilandzic, Ante; Snellings, Raimond; Voloshin, Sergei
- Physical Review C, Vol. 83, Issue 4