Abstract

Event-by-event fluctuations in the elliptic-flow coefficient $v_2$ are studied in PbPb collisions at $\sqrt{s_{_\text{NN}}} = 5.02$ TeV using the CMS detector at the CERN LHC. Elliptic-flow probability distributions ${p}(v_2)$ for charged particles with transverse momentum 0.3$< p_\mathrm{T} <$3.0 GeV and pseudorapidity $| \eta | <$ 1.0 are determined for different collision centrality classes. The moments of the ${p}(v_2)$ distributions are used to calculate the $v_{2}$ coefficients based on cumulant orders 2, 4, 6, and 8. A rank ordering of the higher-order cumulant results and nonzero standardized skewness values obtained for the ${p}(v_2)$ distributions indicate non-Gaussian initial-state fluctuation behavior. Bessel-Gaussian and elliptic power fits to the flow distributions are studied to characterize the initial-state spatial anisotropy.

Table 1

Data from Fig. 1 (left panel, solid data points)

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Unfolded elliptic flow probability density (p(v_2)) for 15-20\% collision centralities
Table 2

Data from Fig. 1 (center panel, solid data points)

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Unfolded elliptic flow probability density (p(v_2)) for 30-35\% collision centralities
Table 3

Data from Fig. 1 (right panel, solid data points)

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Unfolded elliptic flow probability density (p(v_2)) for 55-60\% collision centralities
Table 4

Data from Fig. 2

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The dependence of the second-order elliptic flow cumulant coefficient (v_2{2}) on centrality
Table 5

Data from Fig. 2

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The dependence of the fourth-order elliptic flow cumulant coefficient (v_2{4}) on centrality
Table 6

Data from Fig. 2

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The dependence of the sixth-order elliptic flow cumulant coefficient (v_2{6}) on centrality
Table 7

Data from Fig. 2

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The dependence of the eigth-order elliptic flow cumulant coefficient (v_2{8}) on centrality
Table 8

Data from Fig. 3 (left panel)

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The dependence of the ratio of the sixth-order to the fourth-order elliptic flow cumulant coefficients (v_2{6} / v_2{4}) on centrality
Table 9

Data from Fig. 3 (center panel)

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The dependence of the ratio of the eigth-order to the fourth-order elliptic flow cumulant coefficients (v_2{8} / v_2{4}) on centrality
Table 10

Data from Fig. 3 (right panel)

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The dependence of the ratio of the eigth-order to the sixth-order elliptic flow cumulant coefficients (v_2{8} / v_2{6}) on centrality
Table 11

Data from Fig. 4

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The dependence of the standardized skewness estimate (\gamma_1^exp) on centrality
Table 12

Data from Fig. 5 (left panel)

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The dependence of the k_2 parameter obtained from elliptic power law fits to unfolded elliptic flow probability densities on centrality
Table 13

Data from Fig. 5 (center panel)

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The dependence of the \epsilon_0 parameter obtained from elliptic power law fits to unfolded elliptic flow probability densities on centrality
Table 14

Data from Fig. 5 (right panel)

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The dependence of the \alpha parameter obtained from elliptic power law fits to unfolded elliptic flow probability densities on centrality

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