Characterizing flow fluctuations with moments

Abstract

We present a complete set of multiparticle correlation observables for ultrarelativistic heavy-ion collisions. These include moments of the distribution of the anisotropic flow in a single harmonic, and also mixed moments, which contain the information on correlations between event planes of different harmonics. We explain how all these moments can be measured using just two symmetric subevents separated by a rapidity gap. This presents a multi-pronged probe of the physics of flow fluctuations. For instance, it allows to test the hypothesis that event-plane correlations are generated by non-linear hydrodynamic response. We illustrate the method with simulations of events in A MultiPhase Transport (AMPT) model.

5 pages. v2: Minor revision

References in corpus (6)

• Transverse momentum analysis of collective motion in relativistic nuclear collisions
• Elliptic flow in the Gaussian model of eccentricity fluctuations
• 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
• Measurement of flow harmonics with multi-particle cumulants in Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV with the ATLAS detector
• Event-shape fluctuations and flow correlations in ultra-relativistic heavy-ion collisions

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