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Anisotropies in the initial energy density distribution of the quark-gluon plasma created in high energy heavy ion collisions lead to anisotropies in the azimuthal distributions of the final-state particles known as collective flow. Fourier harmonic decomposition is used to quantify these anisotropies. The higher-order harmonics can be induced by the same order anisotropies (linear response) or by the combined influence of several lower order anisotropies (nonlinear response) in the initial state. The mixed higher-order anisotropic flow and nonlinear response coefficients of charged particles are measured as functions of transverse momentum and centrality in PbPb collisions at nucleon-nucleon center-of-mass energies $\sqrt{s_\mathrm{NN}} =$ 2.76 and 5.02 TeV with the CMS detector. The results are compared with viscous hydrodynamic calculations using several different initial conditions, as well as microscopic transport model calculations. None of the models provides a simultaneous description of the mixed higher-order flow harmonics and nonlinear response coefficients.
Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.
Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.
Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.
Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.
Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.
Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.
Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.
Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.
Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.
Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.
The overall flow harmonic $v_4\{\Psi_{4}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
The overall flow harmonic $v_5\{\Psi_{5}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
The overall flow harmonic $v_6\{\Psi_{6}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
The overall flow harmonic $v_6\{\Psi_{6}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
The overall flow harmonic $v_7\{\Psi_{7}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
The overall flow harmonic $v_4\{\Psi_{4}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
The overall flow harmonic $v_5\{\Psi_{5}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
The overall flow harmonic $v_6\{\Psi_{6}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
The overall flow harmonic $v_6\{\Psi_{6}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
The overall flow harmonic $v_7\{\Psi_{7}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.
Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.
Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.
Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.
Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.
Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.
Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.
Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.
Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.
Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.
Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.
Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.
Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 5.02 TeV as a function of centrality.
Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 5.02 TeV as a function of centrality.
Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 5.02 TeV as a function of centrality.
Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 5.02 TeV as a function of centrality.
Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 5.02 TeV as a function of centrality.
Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 2.76 TeV as a function of centrality.
Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 2.76 TeV as a function of centrality.
Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 2.76 TeV as a function of centrality.
Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 2.76 TeV as a function of centrality.
Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 2.76 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 5.02 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 5.02 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 5.02 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 5.02 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 5.02 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 2.76 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 2.76 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 2.76 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 2.76 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 2.76 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 5.02 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 5.02 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 5.02 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 5.02 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 5.02 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 2.76 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 2.76 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 2.76 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 2.76 TeV as a function of centrality.
Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 2.76 TeV as a function of centrality.
The second- and third-order azimuthal anisotropy Fourier harmonics of charged particles produced in pPb collisions, at $\sqrt{s_\mathrm{NN}} =$ 8.16 TeV, are studied over a wide range of event multiplicities. Multiparticle correlations are used to isolate global properties stemming from the collision overlap geometry. The second-order "elliptic" harmonic moment is obtained with high precision through four-, six-, and eight-particle correlations and, for the first time, the third-order "triangular" harmonic moment is studied using four-particle correlations. A sample of peripheral PbPb collisions at $\sqrt{s_\mathrm{NN}} =$ 5.02 TeV that covers a similar range of event multiplicities as the pPb results is also analyzed. Model calculations of initial-state fluctuations in pPb and PbPb collisions can be directly compared to the high precision experimental results. This work provides new insight into the fluctuation-driven origin of the $v_3$ coefficients in pPb and PbPb collisions, and into the dominating overall collision geometry in PbPb collisions at the earliest stages of heavy ion interactions.
$v_2\{4\}$ as a function of $N_{trk}^{offline}$ in PbPb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.
$v_2\{6\}$ as a function of $N_{trk}^{offline}$ in PbPb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.
$v_2\{8\}$ as a function of $N_{trk}^{offline}$ in PbPb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.
$v_3\{4\}$ as a function of $N_{trk}^{offline}$ in PbPb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.
$v_2\{4\}$ as a function of $N_{trk}^{offline}$ in pPb collisions at $\sqrt{s_{NN}} = 8.16$ TeV.
$v_2\{6\}$ as a function of $N_{trk}^{offline}$ in pPb collisions at $\sqrt{s_{NN}} = 8.16$ TeV.
$v_2\{6\}$ as a function of $N_{trk}^{offline}$ in pPb collisions at $\sqrt{s_{NN}} = 8.16$ TeV.
$v_3\{4\}$ as a function of $N_{trk}^{offline}$ in pPb collisions at $\sqrt{s_{NN}} = 8.16$ TeV.
$v_2\{4\}/v_2\{2\}$ as a function of $N_{trk}^{offline}$ in PbPb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.
$v_3\{4\}/v_3\{2\}$ as a function of $N_{trk}^{offline}$ in PbPb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.
$v_2\{4\}/v_2\{2\}$ as a function of $N_{trk}^{offline}$ in pPb collisions at $\sqrt{s_{NN}} = 8.16$ TeV.
$v_3\{4\}/v_3\{2\}$ as a function of $N_{trk}^{offline}$ in pPb collisions at $\sqrt{s_{NN}} = 8.16$ TeV.
$v_2\{6\}/v_2\{4\}$ as a function of $v_2\{4\}/v_2\{2\}$ in pPb collisions at $\sqrt{s_{NN}} = 8.16$ TeV.
$v_2\{8\}/v_2\{6\}$ as a function of $v_2\{4\}/v_2\{2\}$ in pPb collisions at $\sqrt{s_{NN}} = 8.16$ TeV.
Multi-particle cumulants and corresponding Fourier harmonics are measured for azimuthal angle distributions of charged particles in $pp$ collisions at $\sqrt{s}$ = 5.02 and 13 TeV and in $p$+Pb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV, and compared to the results obtained for low-multiplicity Pb+Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV. These measurements aim to assess the collective nature of particle production. The measurements of multi-particle cumulants confirm the evidence for collective phenomena in $p$+Pb and low-multiplicity Pb+Pb collisions. On the other hand, the $pp$ results for four-particle cumulants do not demonstrate collective behaviour, indicating that they may be biased by contributions from non-flow correlations. A comparison of multi-particle cumulants and derived Fourier harmonics across different collision systems is presented as a function of the charged-particle multiplicity. For a given multiplicity, the measured Fourier harmonics are largest in Pb+Pb, smaller in $p$+Pb and smallest in $pp$ collisions. The $pp$ results show no dependence on the collision energy, nor on the multiplicity.
$c_2\{4\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 5.02 TeV.
$c_2\{4\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 13 TeV.
$c_2\{4\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$c_2\{4\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$c_2\{4\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $N_{ch}(p_T < 0.4 GeV)$ (EvSel_$N_{ch}$) for pp collisions at $\sqrt{s}$= 5.02 TeV.
$c_2\{4\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $N_{ch}(p_T < 0.4 GeV)$ (EvSel_$N_{ch}$) for pp collisions at $\sqrt{s}$= 13 TeV.
$c_2\{4\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $N_{ch}(p_T < 0.4 GeV)$ (EvSel_$N_{ch}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$c_2\{4\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $N_{ch}(p_T < 0.4 GeV)$ (EvSel_$N_{ch}$) for PbPb collisions at $\sqrt{ s_{NN} }$=2.76 TeV.
$c_2\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 5.02 TeV.
$c_2\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 13 TeV.
$c_2\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$c_2\{2, | \Delta \eta > 2 \}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$c_2\{2\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 5.02 TeV.
$c_2\{2\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 13 TeV.
$c_2\{2\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$c_2\{2\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$c_2\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 5.02 TeV.
$c_2\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 13 TeV.
$c_2\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$c_2\{2, | \Delta \eta > 2 \}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$c_2\{4\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 5.02 TeV.
$c_2\{4\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 13 TeV.
$c_2\{4\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$c_2\{4\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$c_2\{6\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$c_2\{6\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$c_2\{6\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$c_2\{6\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$c_2\{8\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$c_2\{8\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$c_2\{8\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$c_2\{8\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_2\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 5.02 TeV.
$v_2\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 13 TeV.
$v_2\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_2\{2, | \Delta \eta > 2 \}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_2\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 5.02 TeV.
$v_2\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 13 TeV.
$v_2\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_2\{2, | \Delta \eta > 2 \}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_2\{4\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_2\{6\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_2\{8\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_2\{4\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_2\{6\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_2\{8\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_2\{4\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_2\{6\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_2\{8\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_2\{4\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_2\{6\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_2\{8\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_2\{4\}/v_2\{2, | \Delta \eta > 2 \}$ ratio for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_2\{6\}/v_2\{4\}$ ratio for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_2\{8\}/v_2\{6\}$ ratio for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_2\{4\}/v_2\{2, | \Delta \eta > 2 \}$ ratio for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_2\{6\}/v_2\{4\}$ ratio for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_2\{8\}/v_2\{6\}$ ratio for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_2\{4\}/v_2\{2, | \Delta \eta > 2 \}$ ratio for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_2\{6\}/v_2\{4\}$ ratio for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_2\{8\}/v_2\{6\}$ ratio for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_2\{4\}/v_2\{2, | \Delta \eta > 2 \}$ ratio for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_2\{6\}/v_2\{4\}$ ratio for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_2\{8\}/v_2\{6\}$ ratio for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$c_3\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 5.02 TeV.
$c_3\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 13 TeV.
$c_3\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$c_3\{2, | \Delta \eta > 2 \}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$c_3\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 5.02 TeV.
$c_3\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 13 TeV.
$c_3\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$c_3\{2, | \Delta \eta > 2 \}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$c_4\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 5.02 TeV.
$c_4\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 13 TeV.
$c_4\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$c_4\{2, | \Delta \eta > 2 \}$ cumulants for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$c_4\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 5.02 TeV.
$c_4\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 13 TeV.
$c_4\{2, | \Delta \eta > 2\}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$c_4\{2, | \Delta \eta > 2 \}$ cumulants for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_3\{2, | \Delta \eta > 2\}$ harmonics for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 13 TeV.
$v_3\{2, | \Delta \eta > 2\}$ harmonics for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_3\{2, | \Delta \eta > 2 \}$ harmonics for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_3\{2, | \Delta \eta > 2\}$ harmonics for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_3\{2, | \Delta \eta > 2 \}$ harmonics for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_4\{2, | \Delta \eta > 2\}$ harmonics for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 5.02 TeV.
$v_4\{2, | \Delta \eta > 2\}$ harmonics for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 13 TeV.
$v_4\{2, | \Delta \eta > 2\}$ harmonics for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_4\{2, | \Delta \eta > 2 \}$ harmonics for reference particles with 0.3 $< p_T <$ 3.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$v_4\{2, | \Delta \eta > 2\}$ harmonics for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 5.02 TeV.
$v_4\{2, | \Delta \eta > 2\}$ harmonics for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pp collisions at $\sqrt{s}$= 13 TeV.
$v_4\{2, | \Delta \eta > 2\}$ harmonics for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for pPb collisions at $\sqrt{ s_{NN} }$= 5.02 TeV.
$v_4\{2, | \Delta \eta > 2 \}$ harmonics for reference particles with 0.5 $< p_T <$ 5.0 GeV selected according to $M_{ref}$ (EvSel_$M_{ref}$) for PbPb collisions at $\sqrt{ s_{NN} }$= 2.76 TeV.
$ v_2\{4\} $ harmonics for reference particles with 0.2 $ < p_{T} < $ 3.0 GeV as a function of $ < N_{ch}(|\eta|<1) > $ for p+Pb collisions at $ \sqrt{ s_{NN} } $= 5.02 TeV.
$ v_2\{4\} $ harmonics for reference particles with 0.2 $ < p_{T}< $ 3.0 GeV as a function of $ < N_{ch}(|\eta|<1) > $ for Pb+Pb collisions at $ \sqrt{ s_{NN} } $= 2.76 TeV.
ATLAS measurements of the azimuthal anisotropy in lead-lead collisions at $\sqrt{s_{NN}}=2.76$ TeV are shown using a dataset of approximately 7 $\mu$b$^{-1}$ collected at the LHC in 2010. The measurements are performed for charged particles with transverse momenta $0.5<p_T<20$ GeV and in the pseudorapidity range $|\eta|<2.5$. The anisotropy is characterized by the Fourier coefficients, $v_n$, of the charged-particle azimuthal angle distribution for n = 2-4. The Fourier coefficients are evaluated using multi-particle cumulants calculated with the generating function method. Results on the transverse momentum, pseudorapidity and centrality dependence of the $v_n$ coefficients are presented. The elliptic flow, $v_2$, is obtained from the two-, four-, six- and eight-particle cumulants while higher-order coefficients, $v_3$ and $v_4$, are determined with two- and four-particle cumulants. Flow harmonics $v_n$ measured with four-particle cumulants are significantly reduced compared to the measurement involving two-particle cumulants. A comparison to $v_n$ measurements obtained using different analysis methods and previously reported by the LHC experiments is also shown. Results of measurements of flow fluctuations evaluated with multi-particle cumulants are shown as a function of transverse momentum and the collision centrality. Models of the initial spatial geometry and its fluctuations fail to describe the flow fluctuations measurements.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 0-2%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 2-5%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 10-15%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 20-25%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 30-35%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 40-45%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 45-50%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 50-55%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 55-60%.
The second flow harmonic measured with the two-particle cumulants as a function of transverse momentum in centrality bin 60-80%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 0-2%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 2-5%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 10-15%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 20-25%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 30-35%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 40-45%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 45-50%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 50-55%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 55-60%.
The second flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 60-80%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 2-5%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 10-15%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 20-25%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 30-35%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 40-45%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 45-50%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 50-55%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 55-60%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 60-80%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 2-5%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 10-15%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 20-25%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 30-35%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 40-45%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 45-50%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 50-55%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 55-60%.
The second flow harmonic measured with the six-particle cumulats as a function of transverse momentum in centrality bin 60-80%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 2-5%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 10-15%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 20-25%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 30-35%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 40-45%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 45-50%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 50-55%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 55-60%.
The second flow harmonic measured with the eight-particle cumulats as a function of transverse momentum in centrality bin 60-80%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 40-50%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 10-20%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 20-30%.
The second flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 30-40%.
The triangular flow harmonic measured with the two-particle cumulats as a function of transverse momentum in centrality bin 0-25%.
The triangular flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 0-25%.
The triangular flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 0-25%.
The triangular flow harmonic measured with the two-particle cumulats as a function of transverse momentum in centrality bin 25-60%.
The triangular flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 25-60%.
The triangular flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 25-60%.
The quadrangular flow harmonic measured with the two-particle cumulats as a function of transverse momentum in centrality bin 0-25%.
The quadrangular flow harmonic measured with the Event Plane method as a function of transverse momentum in centrality bin 0-25%.
The quadrangular flow harmonic measured with the four-particle cumulats as a function of transverse momentum in centrality bin 0-25%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 0-2%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 2-5%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 5-10%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 10-15%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 15-20%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 20-25%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 25-30%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 30-35%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 35-40%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 40-45%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 45-50%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 50-55%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 55-60%.
The second flow harmonic measured with the two-particle cumulants as a function of pseudorapidity in centrality bin 60-80%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 0-2%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 2-5%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 5-10%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 10-15%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 15-20%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 20-25%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 25-30%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 30-35%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 35-40%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 40-45%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 45-50%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 50-55%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 55-60%.
The second flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 60-80%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 2-5%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 5-10%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 10-15%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 15-20%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 20-25%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 25-30%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 30-35%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 35-40%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 40-45%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 45-50%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 50-55%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 55-60%.
The second flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 60-80%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 2-5%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 5-10%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 10-15%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 15-20%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 20-25%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 25-30%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 30-35%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 35-40%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 40-45%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 45-50%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 50-55%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 55-60%.
The second flow harmonic measured with the six-particle cumulats as a function of pseudorapidity in centrality bin 60-80%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 2-5%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 5-10%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 10-15%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 15-20%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 20-25%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 25-30%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 30-35%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 35-40%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 40-45%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 45-50%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 50-55%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 55-60%.
The second flow harmonic measured with the eight-particle cumulats as a function of pseudorapidity in centrality bin 60-80%.
The triangular flow harmonic measured with the two-particle cumulats as a function of pseudorapidity in centrality bin 0-60%.
The triangular flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 0-60%.
The triangular flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 0-60%.
The quadrangular flow harmonic measured with the two-particle cumulats as a function of pseudorapidity in centrality bin 0-25%.
The quadrangular flow harmonic measured with the Event Plane method as a function of pseudorapidity in centrality bin 0-25%.
The quadrangular flow harmonic measured with the four-particle cumulats as a function of pseudorapidity in centrality bin 0-25%.
The second flow harmonic measured with the two-particle cumulats as a function of <Npart>.
The second flow harmonic measured with the four-particle cumulats as a function of <Npart>.
The second flow harmonic measured with the six-particle cumulats as a function of <Npart>.
The second flow harmonic measured with the eight-particle cumulats as a function of <Npart>.
The ratio of second flow harmonics measured with the six- and four-particle cumulants as a function of <Npart>.
The ratio of second flow harmonics measured with the eight- and four-particle cumulants as a function of <Npart>.
The second flow harmonic measured with the Event Plane method as a function of <Npart>.
The triangular flow harmonic measured with the Event Plane method as a function of <Npart>.
The triangular flow harmonic measured with the two-particle cumulants as a function of <Npart>.
The triangular flow harmonic measured with the two-particle cumulants as a function of <Npart>.
The quadrangular flow harmonic measured with the Event Plane method as a function of <Npart>.
The quadrangular flow harmonic measured with the two-particle cumulants as a function of <Npart>.
The quadrangular flow harmonic measured with the two-particle cumulants as a function of <Npart>.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 2-5%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 10-15%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 20-25%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 30-35%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 40-45%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 45-50%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 50-55%.
The second flow harmonic fluctiuations, F(v2), as a function of transverse momentum in centrality bin 55-60%.
The second flow harmonic fluctuations, F(v2), as a function of <Npart>.
The triangular flow harmonic fluctuations, F(v3), as a function of <Npart>.
The triangular flow harmonic fluctuations, F(v4), as a function of <Npart>.
The second flow harmonic measured with the two-particle cumulats as a function of <Npart>.
The second flow harmonic measured with the four-particle cumulats as a function of <Npart>.
The second flow harmonic measured with the six-particle cumulats as a function of <Npart>.
The second flow harmonic measured with the eight-particle cumulats as a function of <Npart>.
The ratio of second flow harmonics measured with the six- and four-particle cumulants as a function of <Npart>.
The ratio of second flow harmonics measured with the eight- and four-particle cumulants as a function of <Npart>.
The triangular flow harmonic measured with the two-particle cumulants as a function of <Npart>.
The quadrangular flow harmonic measured with the Event Plane method as a function of <Npart>.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 2-5%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 10-15%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 20-25%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 30-35%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 40-45%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 45-50%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 50-55%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{EP} and v2{4}, as a function of transverse momentum in centrality bin 55-60%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 2-5%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 5-10%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 10-15%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 15-20%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 20-25%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 25-30%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 30-35%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 35-40%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 40-45%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 45-50%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 50-55%.
The second flow harmonic fluctiuations, F(v2), calculated from v2{2} and v2{4}, as a function of transverse momentum in centrality bin 55-60%.
The second flow harmonic fluctuations, F(v2), as a function of <Npart>.
The triangular flow harmonic fluctuations, F(v3), as a function of <Npart>.
The triangular flow harmonic fluctuations, F(v4), as a function of <Npart>.
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