Factorization breaking for higher moments of harmonic flow

Abstract

We study correlations between harmonic flow vectors squared measured at different transverse momenta. One of the flow harmonics squared is taken at a fixed transverse momentum and correlated to the momentum averaged harmonic flow squared of the same order. Such four particle correlators, dependent on transverse momentum, have been recently measured experimentally. Factorization coefficients based on the ratio of such four-particle correlators allow the independent measurement of the flow vector and flow magnitude factorization breaking coefficient. Moreover, the correlation of the angles of flow harmonics as a function of transverse momentum can be extracted. Results are compared to preliminary data of the ALICE Collaboration. We also present predictions for the momentum dependent factorization breaking coefficient between mixed flow harmonics. The correlators with squares of mixed harmonics can serve as a way to independently measure the flow vector, flow magnitude, and flow angle correlations, and could be used to gain additional information on the fluctuating initial state and the dynamics in heavy-ion collisions.

References in corpus (9)

• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Alternative ansatz to wounded nucleon and binary collision scaling in high-energy nuclear collisions
• Triangularity and Dipole Asymmetry in Heavy Ion Collisions
• Breaking of factorization of two-particle correlations in hydrodynamics
• Forward-backward eccentricity and participant-plane angle fluctuations and their influences on longitudinal dynamics of collective flow
• Longitudinal Decorrelation of Anisotropic Flows in Heavy-ion Collisions at the CERN Large Hadron Collider
• Searches for transverse momentum dependent flow vector fluctuations in Pb-Pb and p-Pb collisions at the LHC
• Searches for $p_{\mathrm{T}}$ dependent fluctuations of flow angle and magnitude in Pb--Pb and p--Pb collisions
• Anisotropic flow decorrelation in heavy-ion collisions with event-by-event viscous hydrodynamics

Cited by in corpus (6)

• Observation of flow angle and flow magnitude fluctuations in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV at the CERN Large Hadron Collider
• Measuring differential flow angle fluctuations in relativistic nuclear collisions
• Review of nonflow estimation methods and uncertainties in relativistic heavy-ion collisions
• Momentum dependent flow correlations in deformed nuclei at collision energies available at the BNL Relativistic Heavy Ion Collider
• Effect of global momentum conservation on longitudinal flow decorrelation
• Random model of flow decorrelation