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 CMS 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.

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