Principal component analysis of event-by-event fluctuations

Abstract

We apply principal component analysis to the study of event-by-event fluctuations in relativistic heavy-ion collisions. This method brings out all the information contained in two-particle correlations in a physically transparent way. We present a guide to the method, and apply it to multiplicity fluctuations and anisotropic flow, using ALICE data and simulated events. In particular, we study elliptic and triangular flow fluctuations as a function of transverse momentum and rapidity. This method reveals previously unknown subleading modes in both rapidity and transverse momentum for the momentum distribution as well as elliptic and triangular flows.

6 pages, revised

References in corpus (7)

• Effects of initial flow velocity fluctuation in event-by-event (3+1)D hydrodynamics
• Effect of flow fluctuations and nonflow on elliptic flow methods
• Momentum spectra, anisotropic flow, and ideal fluids
• Hadron production in p+p, p+Pb, and Pb+Pb collisions with the HIJING 2.0 model at energies available at the CERN Large Hadron Collider
• Breaking of factorization of two-particle correlations in hydrodynamics
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Cited by in corpus (4)

• Hydrodynamic flow amplitude correlations in event-by-event fluctuating heavy-ion collisions
• Principal-component analysis of two-particle azimuthal correlations in PbPb and pPb collisions at CMS
• Hydrodynamic modeling of pseudorapidity flow correlations in relativistic heavy-ion collisions and the torque effect
• Fluctuations in ultra-relativistic heavy ion collisions