Abstract (data abstract)

The correlations between different moments of two flow amplitudes, extracted with the recently developed asymmetric cumulants, are measured in Pb$-$Pb collisions at $\sqrt{s_{\rm {NN}}} = 5.02$ TeV recorded by the ALICE detector at the LHC. The magnitudes of the measured observables show a dependence on the different moments as well as on the collision centrality, indicating the presence of non-linear response in all even moments up to the eighth. Furthermore, the higher-order asymmetric cumulants show different signatures than the symmetric and lower-order asymmetric cumulants. Comparisons with state-of-the-art event generators using two different parameterizations obtained from Bayesian optimization show differences between data and simulations in many of the studied observables, indicating a need for further tuning of the models behind those event generators. These results provide new and independent constraints on the initial conditions and transport properties of the system created in heavy-ion collisions.

Table 1

Data from Figure 1 (panel a)

10.17182/hepdata.144824.v1/t1

Centrality dependence of ${\rm SC}(2,3)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 2

Data from Figure 1 (panel a)

10.17182/hepdata.144824.v1/t2

Centrality dependence of ${\rm AC}_{2,1}(2,3)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 3

Data from Figure 1 (panel a)

10.17182/hepdata.144824.v1/t3

Centrality dependence of ${\rm AC}_{1,2}(2,3)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 4

Data from Figure 1 (panel a)

10.17182/hepdata.144824.v1/t4

Centrality dependence of ${\rm AC}_{3,1}(2,3)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 5

Data from Figure 1 (panel a)

10.17182/hepdata.144824.v1/t5

Centrality dependence of ${\rm AC}_{1,3}(2,3)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 6

Data from Figure 1 (panel a)

10.17182/hepdata.144824.v1/t6

Centrality dependence of ${\rm AC}_{4,1}(2,3)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 7

Data from Figure 1 (panel a)

10.17182/hepdata.144824.v1/t7

Centrality dependence of ${\rm AC}_{1,4}(2,3)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 8

Data from Figure 1 (panel b)

10.17182/hepdata.144824.v1/t8

Centrality dependence of ${\rm NAC}_{2,1}(2,3)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 9

Data from Figure 1 (panel b)

10.17182/hepdata.144824.v1/t9

Centrality dependence of ${\rm NAC}_{1,2}(2,3)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 10

Data from Figure 1 (panel b)

10.17182/hepdata.144824.v1/t10

Centrality dependence of ${\rm NAC}_{3,1}(2,3)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 11

Data from Figure 1 (panel b)

10.17182/hepdata.144824.v1/t11

Centrality dependence of ${\rm NAC}_{1,3}(2,3)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 12

Data from Figure 1 (panel c)

10.17182/hepdata.144824.v1/t12

Centrality dependence of ${\rm SC}(2,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 13

Data from Figure 1 (panel c)

10.17182/hepdata.144824.v1/t13

Centrality dependence of ${\rm AC}_{2,1}(2,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 14

Data from Figure 1 (panel c)

10.17182/hepdata.144824.v1/t14

Centrality dependence of ${\rm AC}_{1,2}(2,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 15

Data from Figure 1 (panel c)

10.17182/hepdata.144824.v1/t15

Centrality dependence of ${\rm AC}_{3,1}(2,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 16

Data from Figure 1 (panel c)

10.17182/hepdata.144824.v1/t16

Centrality dependence of ${\rm AC}_{1,3}(2,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 17

Data from Figure 1 (panel c)

10.17182/hepdata.144824.v1/t17

Centrality dependence of ${\rm AC}_{4,1}(2,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 18

Data from Figure 1 (panel c)

10.17182/hepdata.144824.v1/t18

Centrality dependence of ${\rm AC}_{1,4}(2,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 19

Data from Figure 1 (panel d)

10.17182/hepdata.144824.v1/t19

Centrality dependence of ${\rm NAC}_{2,1}(2,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 20

Data from Figure 1 (panel d)

10.17182/hepdata.144824.v1/t20

Centrality dependence of ${\rm NAC}_{1,2}(2,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 21

Data from Figure 1 (panel d)

10.17182/hepdata.144824.v1/t21

Centrality dependence of ${\rm NAC}_{3,1}(2,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 22

Data from Figure 1 (panel e)

10.17182/hepdata.144824.v1/t22

Centrality dependence of ${\rm SC}(3,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 23

Data from Figure 1 (panel e)

10.17182/hepdata.144824.v1/t23

Centrality dependence of ${\rm AC}_{2,1}(3,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 24

Data from Figure 1 (panel e)

10.17182/hepdata.144824.v1/t24

Centrality dependence of ${\rm AC}_{1,2}(3,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 25

Data from Figure 1 (panel e)

10.17182/hepdata.144824.v1/t25

Centrality dependence of ${\rm AC}_{3,1}(3,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 26

Data from Figure 1 (panel e)

10.17182/hepdata.144824.v1/t26

Centrality dependence of ${\rm AC}_{1,3}(3,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 27

Data from Figure 1 (panel e)

10.17182/hepdata.144824.v1/t27

Centrality dependence of ${\rm AC}_{4,1}(3,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 28

Data from Figure 1 (panel e)

10.17182/hepdata.144824.v1/t28

Centrality dependence of ${\rm AC}_{1,4}(3,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 29

Data from Figure 1 (panel f)

10.17182/hepdata.144824.v1/t29

Centrality dependence of ${\rm NAC}_{2,1}(3,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 30

Data from Figure 1 (panel f)

10.17182/hepdata.144824.v1/t30

Centrality dependence of ${\rm NAC}_{1,2}(3,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.
Table 31

Data from Figure 1 (panel f)

10.17182/hepdata.144824.v1/t31

Centrality dependence of ${\rm NAC}_{3,1}(3,4)$ in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV.

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