New estimator for symmetry plane correlations in anisotropic flow analyses
arXiv:2004.01066 · doi:10.1103/PhysRevC.102.024910
Abstract
Correlations of symmetry planes are important observables used to quantify anisotropic flow phenomenon and constrain independently the properties of strongly interacting nuclear matter produced in the collisions of heavy ions at the highest energies. In this paper, we point out current problems of measuring correlations between symmetry planes and elaborate on why the available analysis techniques have a large systematic bias. To overcome this problem, we introduce a new approach to approximate multi-harmonic flow fluctuations via a two-dimensional Gaussian distribution. Employing this approximation, we introduce a new estimator, dubbed Gaussian Estimator (GE), to extract pure correlation between symmetry planes. We validate GE by using the realistic event-generator iEBE-VISHNU and demonstrate that it outperforms all existing estimators. Based on event-shape engineering, we propose an experimental procedure to improve GE accuracy even further.
arXiv comment14 pages, 4 figures. v2: minor revision, v2 submitted to journal
References in corpus (50)
- Glauber Modeling in High Energy Nuclear Collisions
- Collective flow and viscosity in relativistic heavy-ion collisions
- Methods for analyzing anisotropic flow in relativistic nuclear collisions
- Flow Study in Relativistic Nuclear Collisions by Fourier Expansion of Azimuthal Particle Distributions
- Hydrodynamic Modeling of Heavy-Ion Collisions
- Higher harmonic anisotropic flow measurements of charged particles in Pb-Pb collisions at 2.76 TeV
- Derivation of transient relativistic fluid dynamics from the Boltzmann equation
- Flow analysis with cumulants: direct calculations
- Triangularity and Dipole Asymmetry in Heavy Ion Collisions
- Flow analysis from multiparticle azimuthal correlations
- Elliptic flow from two- and four-particle correlations in Au + Au collisions at sqrt{s_{NN}} = 130 GeV
- Measurements of Higher-Order Flow Harmonics in Au+Au Collisions at sqrt(s_NN) = 200 GeV
- Properties of hot and dense matter from relativistic heavy ion collisions
- Directed and elliptic flow of charged pions and protons in Pb+Pb collisions at 40 and 158A GeV
- Event-by-event shape and flow fluctuations of relativistic heavy-ion collision fireballs
- Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory
- Generic framework for anisotropic flow analyses with multi-particle azimuthal correlations
- Azimuthal anisotropy at RHIC: the first and fourth harmonics
- Triangular flow in event-by-event ideal hydrodynamics in Au+Au collisions at GeV
- Translation of collision geometry fluctuations into momentum anisotropies in relativistic heavy-ion collisions
- Elliptic flow in the Gaussian model of eccentricity fluctuations
- Measurement of event-plane correlations in sqrt(s_NN)=2.76 TeV lead-lead collisions with the ATLAS detector
- Observation of Anisotropic Event Shapes and Transverse Flow in Au+Au Collisions at AGS Energy
- Correlated event-by-event fluctuations of flow harmonics in Pb-Pb collisions at TeV
- Determining initial-state fluctuations from flow measurements in heavy-ion collisions
- Ultra-relativistic nuclear collisions: event shape engineering
- Hydrodynamic event-plane correlations in Pb+Pb collisions at sqrt(s)=2.76ATeV
- Fluctuating flow angles and anisotropic flow measurements
- Eliminating experimental bias in anisotropic-flow measurements of high-energy nuclear collisions
- Measurement of the correlation between flow harmonics of different order in lead-lead collisions at =2.76 TeV with the ATLAS detector
- Evidence of sub-nucleonic degrees of freedom in J/ photoproduction in ultraperipheral collisions at the CERN Large Hadron Collider
- Energy and Charged Particle Flow in 10.8 A GeV/c Au+Au Collisions
- Revealing long-range multi-particle collectivity in small collision systems via subevent cumulants
- The Fate of the Initial State Fluctuations in Heavy Ion Collisions. II The Fluctuations and Sounds
- Systematic Studies of Elliptic Flow Measurements in Au+Au Collisions at sqrt(s_NN) = 200 GeV
- Understanding anisotropy generated by fluctuations in heavy-ion collisions
- v4: A small, but sensitive observable for heavy ion collisions
- Observation of correlated azimuthal anisotropy Fourier harmonics in pp and pPb collisions at the LHC
- Event-plane correlators
- The Hot QCD White Paper: Exploring the Phases of QCD at RHIC and the LHC
- A method for studying initial geometry fluctuations via event plane correlations in heavy ion collisions
- Measurement of Event Plane Correlations in Pb-Pb Collisions at =2.76 TeV with the ATLAS Detector
- Heavy Ion Initial Conditions and Correlations Between Higher Moments in the Spatial Anisotropy
- Study on initial geometry fluctuations via participant plane correlations in heavy ion collisions: part II
- Counting hot/cold spots in quark-gluon plasma
- New flow observables
- Glauber-based evaluations of the odd moments of the initial eccentricity relative to the even order participant planes
- Plane correlations in small colliding systems
- Correlation Measurements Between Flow Harmonics in Au+Au Collisions at RHIC
- Measurement of coefficients and event plane correlations in 2.76 TeV Pb-Pb collisions with ATLAS
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- Symmetry plane correlations in Pb-Pb collisions at TeV
- Higher-order symmetry plane correlations in PbPb collisions at = 5.02 TeV
- Exploring Electromagnetic Field Effects and Constraining Transport Parameters of QGP using STAR BES-II data
- Event-shape dependence of symmetry plane correlations using the Gaussian estimator in Pb-Pb collisions at the LHC using a multiphase transport model
- Measuring differential particle correlations in relativistic nuclear collisions