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Chinese Physics C > 2023, Vol. 47 > Issue(10): 104107 DOI: 10.1088/1674-1137/acee56

Decomposition of multi-particle azimuthal correlations inQ-cumulant analysis

  • 1.

    Department of physics, "VINČA" Institute of Nuclear Science - National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića Alasa 12-14, Vinča 11351, Belgrade, Serbia

  • 2.

    Strong coupling Physics International Research Laboratory, Huzhou University, Huzhou 313000, China

  • 3.

    College of Science, Huzhou University, Huzhou 313000, China

  • 4.

    Department of Physics and Astronomy, Purdue University, Indiana 47907, USA

  • The method of Q-cumulants is a powerful tool for studying 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 high-order Q-cumulants. The capability of this method is demonstrated via a toy model that uses the elliptic power distribution to simulate the 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 allow measurements of the very high central moments of the $ {v_2} $ distribution. This can, in turn, facilitate progress in understanding the initial geometry, the input to the hydrodynamic calculations of medium expansion in high energy nuclear collisions, and the constraints on it.
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  • References

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    [14] A. Bilandzic, R. Snellings, and S. Voloshin, Phys. Rev. C83, 044913 (2011), arXiv:nucl-ex/1010.0233 doi:10.1103/PhysRevC.83.044913
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    [16] CMS Collaboration,Probing hydrodynamics and the moments of the elliptic flow distribution in \begin{document}$ \sqrt {{s_{NN}}} $\end{document} =5.02 TeV lead-lead collisions using higher-order cumulants, CMS-PAS-HIN-21-010, 2022
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L. Nađđerđ, J. Milošević, D. Devetak and F. Wang. Decomposition of multi-particle azimuthal correlations in Q-cumulant analysis[J]. Chinese Physics C. doi: 10.1088/1674-1137/acee56
L. Nađđerđ, J. Milošević, D. Devetak and F. Wang. Decomposition of multi-particle azimuthal correlations in Q-cumulant analysis[J]. Chinese Physics C. doi:10.1088/1674-1137/acee56 shu
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Received: 2023-05-05
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    Decomposition of multi-particle azimuthal correlations inQ-cumulant analysis

    • 1. Department of physics, "VINČA" Institute of Nuclear Science - National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića Alasa 12-14, Vinča 11351, Belgrade, Serbia
    • 2. Strong coupling Physics International Research Laboratory, Huzhou University, Huzhou 313000, China
    • 3. College of Science, Huzhou University, Huzhou 313000, China
    • 4. Department of Physics and Astronomy, Purdue University, Indiana 47907, USA
    • Received Date:2023-05-05
    • Available Online:2023-10-15

      Abstract:The method ofQ-cumulants is a powerful tool for studying 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 high-orderQ-cumulants. The capability of this method is demonstrated via a toy model that uses the elliptic power distribution to simulate the 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 allow measurements of the very high central moments of the $ {v_2} $ distribution. This can, in turn, facilitate progress in understanding the initial geometry, the input to the hydrodynamic calculations of medium expansion in high energy nuclear collisions, and the constraints on it.

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        I. INTRODUCTION

        • In ultra-relativistic collisions of nuclei at both the Relativistic Heavy Ion Collider (RHIC) [1−4] and Large Hadron Collider (LHC) [5−8], a hot and dense system of strongly interacting quarks and gluons, known as “quark-gluon plasma” (QGP), is created. One of the key observables used to study the properties of QGP is the anisotropic collective flow, quantified by Fourier harmonics $ {v_n} $ . Many methods have been developed to measure these harmonics [9−11]. One such method, the method of cumulants based on multi-particle correlations [12,13], enables the suppression of short-range correlations arising from jets and resonance decays and then reveals a genuine collectivity arising from the expansion of QGP. TheQ-cumulant method [14] is an improved version of the initial cumulant method. Recently,Q-cumulants were employed to examine hydrodynamics predictions in Ref. [

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