Mixed higher-order anisotropic flow and nonlinear response coefficients of charged particles in $\mathrm {PbPb}$ collisions at $\sqrt{\smash [b]{s_{_{\mathrm {NN}}}}} = 2.76$ and 5.02$\,\text {TeV}$

The collaboration
Eur.Phys.J.C 80 (2020) 534, 2020.

Abstract (data abstract)
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 anisotropic 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 $\sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = 2.76$ 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.

• Table 1

Data from Figure 1 a

10.17182/hepdata.88289.v1/t1

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%...

• Table 2

Data from Figure 1 b

10.17182/hepdata.88289.v1/t2

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%...

• Table 3

Data from Figure 1 c

10.17182/hepdata.88289.v1/t3

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%...

• Table 4

Data from Figure 1 d

10.17182/hepdata.88289.v1/t4

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%...

• Table 5

Data from Figure 1 e

10.17182/hepdata.88289.v1/t5

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%...

• Table 6

Data from Figure 1 f

10.17182/hepdata.88289.v1/t6

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%...

• Table 7

Data from Figure 1 g

10.17182/hepdata.88289.v1/t7

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%...

• Table 8

Data from Figure 1 h

10.17182/hepdata.88289.v1/t8

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%...

• Table 9

Data from Figure 1 i

10.17182/hepdata.88289.v1/t9

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%...

• Table 10

Data from Figure 1 j

10.17182/hepdata.88289.v1/t10

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%...

• Table 11

Data from Figure 1 a

10.17182/hepdata.88289.v1/t11

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%...

• Table 12

Data from Figure 1 b

10.17182/hepdata.88289.v1/t12

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%...

• Table 13

Data from Figure 1 c

10.17182/hepdata.88289.v1/t13

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%...

• Table 14

Data from Figure 1 d

10.17182/hepdata.88289.v1/t14

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%...

• Table 15

Data from Figure 1 e

10.17182/hepdata.88289.v1/t15

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%...

• Table 16

Data from Figure 1 f

10.17182/hepdata.88289.v1/t16

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%...

• Table 17

Data from Figure 1 g

10.17182/hepdata.88289.v1/t17

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%...

• Table 18

Data from Figure 1 h

10.17182/hepdata.88289.v1/t18

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%...

• Table 19

Data from Figure 1 i

10.17182/hepdata.88289.v1/t19

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%...

• Table 20

Data from Figure 1 j

10.17182/hepdata.88289.v1/t20

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%...

• Table 21

Data from Figure 2 a

10.17182/hepdata.88289.v1/t21

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%...

• Table 22

Data from Figure 2 b

10.17182/hepdata.88289.v1/t22

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%...

• Table 23

Data from Figure 2 c

10.17182/hepdata.88289.v1/t23

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%...

• Table 24

Data from Figure 2 d

10.17182/hepdata.88289.v1/t24

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%...

• Table 25

Data from Figure 2 e

10.17182/hepdata.88289.v1/t25

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%...

• Table 26

Data from Figure 2 f

10.17182/hepdata.88289.v1/t26

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%...

• Table 27

Data from Figure 2 g

10.17182/hepdata.88289.v1/t27

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%...

• Table 28

Data from Figure 2 h

10.17182/hepdata.88289.v1/t28

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%...

• Table 29

Data from Figure 2 i

10.17182/hepdata.88289.v1/t29

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%...

• Table 30

Data from Figure 2 j

10.17182/hepdata.88289.v1/t30

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%...

• Table 31

Data from Figure 2 a

10.17182/hepdata.88289.v1/t31

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%...

• Table 32

Data from Figure 2 b

10.17182/hepdata.88289.v1/t32

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%...

• Table 33

Data from Figure 2 c

10.17182/hepdata.88289.v1/t33

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%...

• Table 34

Data from Figure 2 d

10.17182/hepdata.88289.v1/t34

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%...

• Table 35

Data from Figure 2 e

10.17182/hepdata.88289.v1/t35

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%...

• Table 36

Data from Figure 2 f

10.17182/hepdata.88289.v1/t36

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%...

• Table 37

Data from Figure 2 g

10.17182/hepdata.88289.v1/t37

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%...

• Table 38

Data from Figure 2 h

10.17182/hepdata.88289.v1/t38

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%...

• Table 39

Data from Figure 2 i

10.17182/hepdata.88289.v1/t39

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%...

• Table 40

Data from Figure 2 j

10.17182/hepdata.88289.v1/t40

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%...

• Table 41

Data from Figure 3 a

10.17182/hepdata.88289.v1/t41

Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality...

• Table 42

Data from Figure 3 b

10.17182/hepdata.88289.v1/t42

Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality...

• Table 43

Data from Figure 3 c

10.17182/hepdata.88289.v1/t43

Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality...

• Table 44

Data from Figure 3 d

10.17182/hepdata.88289.v1/t44

Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality...

• Table 45

Data from Figure 3 e

10.17182/hepdata.88289.v1/t45

Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality...

• Table 46

Data from Figure 3 f

10.17182/hepdata.88289.v1/t46

Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality...

• Table 47

Data from Figure 3 g

10.17182/hepdata.88289.v1/t47

Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality...

• Table 48

Data from Figure 3 h

10.17182/hepdata.88289.v1/t48

Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality...

• Table 49

Data from Figure 3 i

10.17182/hepdata.88289.v1/t49

Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality...

• Table 50

Data from Figure 3 j

10.17182/hepdata.88289.v1/t50

Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality...

• Table 51

Data from Figure 3 a

10.17182/hepdata.88289.v1/t51

Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality...

• Table 52

Data from Figure 3 b

10.17182/hepdata.88289.v1/t52

Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality...

• Table 53

Data from Figure 3 c

10.17182/hepdata.88289.v1/t53

Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality...

• Table 54

Data from Figure 3 d

10.17182/hepdata.88289.v1/t54

Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality...

• Table 55

Data from Figure 3 e

10.17182/hepdata.88289.v1/t55

Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality...

• Table 56

Data from Figure 3 f

10.17182/hepdata.88289.v1/t56

Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality...

• Table 57

Data from Figure 3 g

10.17182/hepdata.88289.v1/t57

Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality...

• Table 58

Data from Figure 3 h

10.17182/hepdata.88289.v1/t58

Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality...

• Table 59

Data from Figure 3 i

10.17182/hepdata.88289.v1/t59

Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality...

• Table 60

Data from Figure 3 j

10.17182/hepdata.88289.v1/t60

Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality...

• Table 61

Data from Figure 4 a

10.17182/hepdata.88289.v1/t61

Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 5.02 TeV as a function of centrality.

• Table 62

Data from Figure 4 b

10.17182/hepdata.88289.v1/t62

Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 5.02 TeV as a function of centrality.

• Table 63

Data from Figure 4 c

10.17182/hepdata.88289.v1/t63

Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 5.02 TeV as a function of centrality.

• Table 64

Data from Figure 4 d

10.17182/hepdata.88289.v1/t64

Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 5.02 TeV as a function of centrality.

• Table 65

Data from Figure 4 e

10.17182/hepdata.88289.v1/t65

Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 5.02 TeV as a function of centrality.

• Table 66

Data from Figure 4 a

10.17182/hepdata.88289.v1/t66

Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 2.76 TeV as a function of centrality.

• Table 67

Data from Figure 4 b

10.17182/hepdata.88289.v1/t67

Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 2.76 TeV as a function of centrality.

• Table 68

Data from Figure 4 c

10.17182/hepdata.88289.v1/t68

Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 2.76 TeV as a function of centrality.

• Table 69

Data from Figure 4 d

10.17182/hepdata.88289.v1/t69

Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 2.76 TeV as a function of centrality.

• Table 70

Data from Figure 4 e

10.17182/hepdata.88289.v1/t70

Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 2.76 TeV as a function of centrality.

• Table 71

Data from Figure 5 a

10.17182/hepdata.88289.v1/t71

Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 5.02 TeV as a function of centrality.

• Table 72

Data from Figure 5 b

10.17182/hepdata.88289.v1/t72

Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 5.02 TeV as a function of centrality.

• Table 73

Data from Figure 5 c

10.17182/hepdata.88289.v1/t73

Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 5.02 TeV as a function of centrality.

• Table 74

Data from Figure 5 d

10.17182/hepdata.88289.v1/t74

Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 5.02 TeV as a function of centrality.

• Table 75

Data from Figure 5 e

10.17182/hepdata.88289.v1/t75

Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 5.02 TeV as a function of centrality.

• Table 76

Data from Figure 5 a2

10.17182/hepdata.88289.v1/t76

Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 2.76 TeV as a function of centrality.

• Table 77

Data from Figure 5 b

10.17182/hepdata.88289.v1/t77

Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 2.76 TeV as a function of centrality.

• Table 78

Data from Figure 5 c

10.17182/hepdata.88289.v1/t78

Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 2.76 TeV as a function of centrality.

• Table 79

Data from Figure 5 d

10.17182/hepdata.88289.v1/t79

Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 2.76 TeV as a function of centrality.

• Table 80

Data from Figure 5 e

10.17182/hepdata.88289.v1/t80

Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 2.76 TeV as a function of centrality.

• Table 81

Data from Figure 6 a

10.17182/hepdata.88289.v1/t81

Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 5.02 TeV as a function of centrality.

• Table 82

Data from Figure 6 b

10.17182/hepdata.88289.v1/t82

Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 5.02 TeV as a function of centrality.

• Table 83

Data from Figure 6 c

10.17182/hepdata.88289.v1/t83

Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 5.02 TeV as a function of centrality.

• Table 84

Data from Figure 6 c

10.17182/hepdata.88289.v1/t84

Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 5.02 TeV as a function of centrality.

• Table 85

Data from Figure 6 e

10.17182/hepdata.88289.v1/t85

Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 5.02 TeV as a function of centrality.

• Table 86

Data from Figure 6 a

10.17182/hepdata.88289.v1/t86

Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 2.76 TeV as a function of centrality.

• Table 87

Data from Figure 6 b

10.17182/hepdata.88289.v1/t87

Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 2.76 TeV as a function of centrality.

• Table 88

Data from Figure 6 c

10.17182/hepdata.88289.v1/t88

Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 2.76 TeV as a function of centrality.

• Table 89

Data from Figure 6 d

10.17182/hepdata.88289.v1/t89

Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 2.76 TeV as a function of centrality.

• Table 90

Data from Figure 6 e

10.17182/hepdata.88289.v1/t90

Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 2.76 TeV as a function of centrality.