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$v_4$, $v_5$, $v_6$, $v_7$: nonlinear hydrodynamic response versus LHC data

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arxiv 1502.02502 v1 pith:Y5SOGQ4Y submitted 2015-02-09 nucl-th hep-phnucl-ex

classification nucl-thhep-phnucl-ex
keywords dataharmonicshigherhydrodynamicrespectanalysescollisionscorrelations
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Higher harmonics of anisotropic flow ($v_n$ with $n\ge 4$) in heavy-ion collisions can be measured either with respect to their own plane, or with respect to a plane constructed using lower-order harmonics. We explain how such measurements are related to event-plane correlations. We show that CMS data on $v_4$ and $v_6$ are compatible with ATLAS data on event-plane correlations. If one assumes that higher harmonics are the superposition of non-linear and linear responses, then the linear and non-linear parts can be isolated under fairly general assumptions. By combining analyses of higher harmonics with analyses of $v_2$ and $v_3$, one can eliminate the uncertainty from initial conditions and define quantities that only involve nonlinear hydrodynamic response coefficients. Experimental data on $v_4$, $v_5$ and $v_6$ are in good agreement with hydrodynamic calculations. We argue that $v_7$ can be measured with respect to elliptic and triangular flow. We present predictions for $v_7$ versus centrality in Pb-Pb collisions at the LHC.

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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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    GMC-suppressed rapidity-even dipolar flow correlations in AMPT and HIJING at 200 GeV show sensitivity to partonic transport and initial-state eccentricity correlations.

  3. Nuclear Physics Confronts Relativistic Collisions Of Isobars

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    RHIC isobar data are explained by different shapes of 96Ru and 96Zr, with 96Zr showing a large octupole deformation, so nuclear structure uncertainty, not the magnetic field, dominates the observed ratios.

  4. An MLE analysis on the relationship between the initial-state granularity and final-state flow factorization

    nucl-th 2025-02 conditional novelty 5.0 of 10

    Flow factorization, but not differential flow, responds strongly to initial-state granularity in peripheral-tube hydrodynamic simulations, and MLE and cumulant estimators disagree on these correlators.

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