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Investigations of anisotropic flow using multi-particle azimuthal correlations in pp, p-Pb, Xe-Xe, and Pb-Pb collisions at the LHC

The collaboration
No Journal Information, 2019

Abstract (data abstract)
We report measurements of anisotropic flow coefficients ($v_n$) and their cross-correlations using two- and multi-particle cumulant methods in collisions of pp at $\sqrt{s} = 13$ TeV, p--Pb at $\sqrt{s_{_{\rm NN}}} = 5.02$ TeV, Xe--Xe at $\sqrt{s_{_{\rm NN}}} = 5.44$ TeV, and Pb--Pb at $\sqrt{s_{_{\rm NN}}} = 5.02$ TeV recorded with the ALICE detector. These measurements are performed as a function of multiplicity in the mid-rapidity region $|\eta|<0.8$ for the transverse momentum range $0.2 < p_{\rm T} < 3.0$ GeV/$c$. An ordering of the coefficients $v_2 > v_3 > v_4$ is found in pp and \pPb\ collisions, similar to that seen in large collision systems, while a weak $v_2$ multiplicity dependence is observed relative to nucleus-nucleus collisions in the same multiplicity range. Using the novel subevent method, $v_{2}$ measured in pp and \pPb\ collisions with four-particle cumulants is found to be compatible with that from six-particle cumulants. We also present the symmetric cumulants $SC(m,n)$ calculated with the subevent method which evaluate the correlation strength between $v_n^2$ and $v_m^2$. The presented data, which add further support to the existence of long-range multi-particle azimuthal correlations in high multiplicity pp and \pPb\ collisions, can neither be described by PYTHIA8 nor by IP-Glasma+MUSIC+UrQMD model calculations, and hence provide new constraints on collective effects in small collision systems.

• #### Table 1

Data from Fig. 1 (a)

10.17182/hepdata.90955.v1/t1

$v_2\{2\}$ with $|\Delta \eta| > 1.4$ in pp collisions at $\sqrt{s} = 13$ TeV.

• #### Table 2

Data from Fig. 1 (b)

10.17182/hepdata.90955.v1/t2

$v_3\{2\}$ with $|\Delta \eta| > 1.0$ in pp collisions at $\sqrt{s} = 13$ TeV.

• #### Table 3

Data from Fig. 1 (c)

10.17182/hepdata.90955.v1/t3

$v_4\{2\}$ with $|\Delta \eta| > 1.0$ in pp collisions at $\sqrt{s} = 13$ TeV.

• #### Table 4

Data from Fig. 1 (d)

10.17182/hepdata.90955.v1/t4

$v_2\{4\}$ with 3-subevent method in pp collisions at $\sqrt{s} = 13$ TeV.

• #### Table 5

Data from Fig. 1 (d)

10.17182/hepdata.90955.v1/t5

$v_2\{6\}$ in pp collisions at $\sqrt{s} = 13$ TeV.

• #### Table 6

Data from Fig. 2 (a)

10.17182/hepdata.90955.v1/t6

SC$(4,2)$ with 3-subevent method in pp collisions at $\sqrt{s} = 13$ TeV.

• #### Table 7

Data from Fig. 2 (c)

10.17182/hepdata.90955.v1/t7

SC$(3,2)$ with 3-subevent method in pp collisions at $\sqrt{s} = 13$ TeV.

• #### Table 8

Data from Fig. 2 (b)

10.17182/hepdata.90955.v1/t8

SC$(4,2)$ with 3-subevent method divided with $\langle v_4\{2\}^2\rangle\langle v_2\{2\}^2\rangle$ with $|\Delta \eta| > 1.0$ and 1.4 in pp collisions at...

• #### Table 9

Data from Fig. 2 (d)

10.17182/hepdata.90955.v1/t9

SC$(3,2)$ with 3-subevent method divided with $\langle v_3\{2\}^2\rangle\langle v_2\{2\}^2\rangle$ with $|\Delta \eta| > 1.0$ and 1.4 in pp collisions at...

• #### Table 10

Data from Fig. 1 (a)

10.17182/hepdata.90955.v1/t10

$v_2\{2\}$ with $|\Delta \eta| > 1.4$ in p-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 11

Data from Fig. 1 (b)

10.17182/hepdata.90955.v1/t11

$v_3\{2\}$ with $|\Delta \eta| > 1.0$ in p-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 12

Data from Fig. 1 (c)

10.17182/hepdata.90955.v1/t12

$v_4\{2\}$ with $|\Delta \eta| > 1.0$ in p-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 13

Data from Fig. 1 (d)

10.17182/hepdata.90955.v1/t13

$v_2\{4\}$ in p-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 14

Data from Fig. 1 (d)

10.17182/hepdata.90955.v1/t14

$v_2\{4\}$ with 3-subevent method in p-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 15

Data from Fig. 1 (d)

10.17182/hepdata.90955.v1/t15

$v_2\{6\}$ in p-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 16

Data from Fig. 2 (a)

10.17182/hepdata.90955.v1/t16

SC$(4,2)$ with 3-subevent method in p-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 17

Data from Fig. 2 (c)

10.17182/hepdata.90955.v1/t17

SC$(3,2)$ with 3-subevent method in p-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 18

Data from Fig. 2 (b)

10.17182/hepdata.90955.v1/t18

SC$(4,2)$ with 3-subevent method divided with $\langle v_4\{2\}^2\rangle\langle v_2\{2\}^2\rangle$ with $|\Delta \eta| > 1.0$ and 1.4 in p-Pb collisions at...

• #### Table 19

Data from Fig. 2 (d)

10.17182/hepdata.90955.v1/t19

SC$(3,2)$ with 3-subevent method divided with $\langle v_3\{2\}^2\rangle\langle v_2\{2\}^2\rangle$ with $|\Delta \eta| > 1.0$ and 1.4 in p-Pb collisions at...

• #### Table 20

Data from Fig. 1 (a)

10.17182/hepdata.90955.v1/t20

$v_2\{2\}$ with $|\Delta \eta| > 1.4$ in Xe-Xe collisions at $\sqrt{s_{NN}} = 5.44$ TeV.

• #### Table 21

Data from Fig. 1 (b)

10.17182/hepdata.90955.v1/t21

$v_3\{2\}$ with $|\Delta \eta| > 1.0$ in Xe-Xe collisions at $\sqrt{s_{NN}} = 5.44$ TeV.

• #### Table 22

Data from Fig. 1 (c)

10.17182/hepdata.90955.v1/t22

$v_4\{2\}$ with $|\Delta \eta| > 1.0$ in Xe-Xe collisions at $\sqrt{s_{NN}} = 5.44$ TeV.

• #### Table 23

Data from Fig. 1 (d)

10.17182/hepdata.90955.v1/t23

$v_2\{4\}$ in Xe-Xe collisions at $\sqrt{s_{NN}} = 5.44$ TeV.

• #### Table 24

Data from Fig. 1 (d)

10.17182/hepdata.90955.v1/t24

$v_2\{4\}$ with 3-subevent method in Xe-Xe collisions at $\sqrt{s_{NN}} = 5.44$ TeV.

• #### Table 25

Data from Fig. 1 (d)

10.17182/hepdata.90955.v1/t25

$v_2\{6\}$ in Xe-Xe collisions at $\sqrt{s_{NN}} = 5.44$ TeV.

• #### Table 26

Data from Fig. 1 (d)

10.17182/hepdata.90955.v1/t26

$v_2\{8\}$ in Xe-Xe collisions at $\sqrt{s_{NN}} = 5.44$ TeV.

• #### Table 27

Data from Fig. 2 (a)

10.17182/hepdata.90955.v1/t27

SC$(4,2)$ with 3-subevent method in Xe-Xe collisions at $\sqrt{s_{NN}} = 5.44$ TeV.

• #### Table 28

Data from Fig. 2 (c)

10.17182/hepdata.90955.v1/t28

SC$(3,2)$ with 3-subevent method in Xe-Xe collisions at $\sqrt{s_{NN}} = 5.44$ TeV.

• #### Table 29

Data from Fig. 2 (b)

10.17182/hepdata.90955.v1/t29

SC$(4,2)$ with 3-subevent method divided with $\langle v_4\{2\}^2\rangle\langle v_2\{2\}^2\rangle$ with $|\Delta \eta| > 1.0$ and 1.4 in Xe-Xe collisions at...

• #### Table 30

Data from Fig. 2 (d)

10.17182/hepdata.90955.v1/t30

SC$(3,2)$ with 3-subevent method divided with $\langle v_3\{2\}^2\rangle\langle v_2\{2\}^2\rangle$ with $|\Delta \eta| > 1.0$ and 1.4 in Xe-Xe collisions at...

• #### Table 31

Data from Fig. 1 (a)

10.17182/hepdata.90955.v1/t31

$v_2\{2\}$ with $|\Delta \eta| > 1.4$ in Pb-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 32

Data from Fig. 1 (b)

10.17182/hepdata.90955.v1/t32

$v_3\{2\}$ with $|\Delta \eta| > 1.0$ in Pb-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 33

Data from Fig. 1 (c)

10.17182/hepdata.90955.v1/t33

$v_4\{2\}$ with $|\Delta \eta| > 1.0$ in Pb-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 34

Data from Fig. 1 (d)

10.17182/hepdata.90955.v1/t34

$v_2\{4\}$ in Pb-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 35

Data from Fig. 1 (d)

10.17182/hepdata.90955.v1/t35

$v_2\{4\}$ with 3-subevent method in Pb-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 36

Data from Fig. 1 (d)

10.17182/hepdata.90955.v1/t36

$v_2\{6\}$ in Pb-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 37

Data from Fig. 1 (d)

10.17182/hepdata.90955.v1/t37

$v_2\{6\}$ with 2-subevent method in Pb-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 38

Data from Fig. 1 (d)

10.17182/hepdata.90955.v1/t38

$v_2\{8\}$ in Pb-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 39

Data from Fig. 1 (d)

10.17182/hepdata.90955.v1/t39

$v_2\{8\}$ with 2-subevent method in Pb-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 40

Data from Fig. 2 (a)

10.17182/hepdata.90955.v1/t40

SC$(4,2)$ with 3-subevent method in Pb-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 41

Data from Fig. 2 (c)

10.17182/hepdata.90955.v1/t41

SC$(3,2)$ with 3-subevent method in Pb-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV.

• #### Table 42

Data from Fig. 2 (b)

10.17182/hepdata.90955.v1/t42

SC$(4,2)$ with 3-subevent method divided with $\langle v_4\{2\}^2\rangle\langle v_2\{2\}^2\rangle$ with $|\Delta \eta| > 1.0$ and 1.4 in Pb-Pb collisions at...

• #### Table 43

Data from Fig. 2 (d)

10.17182/hepdata.90955.v1/t43

SC$(3,2)$ with 3-subevent method divided with $\langle v_3\{2\}^2\rangle\langle v_2\{2\}^2\rangle$ with $|\Delta \eta| > 1.0$ and 1.4 in Pb-Pb collisions at...