The per-trigger yields are shown as a function of $\Delta\phi$ in several $p_T^{trig}$ $\otimes$ $p_T^{assoc}$ bins.

The per-trigger yields are shown as a function of $\Delta\phi$ in several $p_T^{trig}$ $\otimes$ $p_T^{assoc}$ bins.

The per-trigger yields are shown as a function of $\Delta\phi$ in several $p_T^{trig}$ $\otimes$ $p_T^{assoc}$ bins.

The per-trigger yields are shown as a function of $\Delta\phi$ in several $p_T^{trig}$ $\otimes$ $p_T^{assoc}$ bins.

The per-trigger yields are shown as a function of $\Delta\phi$ in several $p_T^{trig}$ $\otimes$ $p_T^{assoc}$ bins.

The per-trigger yields are shown as a function of $\Delta\phi$ in several $p_T^{trig}$ $\otimes$ $p_T^{assoc}$ bins.

The per-trigger yields are shown as a function of $\Delta\phi$ in several $p_T^{trig}$ $\otimes$ $p_T^{assoc}$ bins.

The per-trigger yields are shown as a function of $\Delta\phi$ in several $p_T^{trig}$ $\otimes$ $p_T^{assoc}$ bins.

The per-trigger yields are shown as a function of $\Delta\phi$ in several $p_T^{trig}$ $\otimes$ $p_T^{assoc}$ bins.

The per-trigger yields are shown as a function of $\Delta\phi$ in several $p_T^{trig}$ $\otimes$ $p_T^{assoc}$ bins.

The per-trigger yields are shown as a function of $\Delta\phi$ in several $p_T^{trig}$ $\otimes$ $p_T^{assoc}$ bins.

The $p_{out}$ distributions are shown for dihadron and direct photon-hadron correlations, binned in $p^{trig}_T$ in $x_E$.

The $p_{out}$ distributions are shown for dihadron and direct photon-hadron correlations, binned in $p^{trig}_T$ in $x_E$.

The $p_{out}$ distributions are shown for dihadron and direct photon-hadron correlations, binned in $p^{trig}_T$ in $x_E$.

The $p_{out}$ distributions are shown for dihadron and direct photon-hadron correlations, binned in $p^{trig}_T$ in $x_E$.

The $p_{out}$ distributions are shown for dihadron and direct photon-hadron correlations, binned in $p^{trig}_T$ in $x_E$.

The $p_{out}$ distributions are shown for dihadron and direct photon-hadron correlations, binned in $p^{trig}_T$ in $x_E$.

The $p_{out}$ distributions are shown for dihadron and direct photon-hadron correlations, binned in $p^{trig}_T$ in $x_E$.

The $p_{out}$ distributions are shown for dihadron and direct photon-hadron correlations, binned in $p^{trig}_T$ in $x_E$.

The $p_{out}$ distributions are shown for dihadron and direct photon-hadron correlations, binned in $p^{trig}_T$ in $x_E$.

The nonperturbative away-side jet widths as a function of $p^{trig}_T$ at $\sqrt{s}$ = 200 GeV for both direct photon-hadron and dihadron correlations.

The nonperturbative away-side jet widths as a function of $p^{trig}_T$ at $\sqrt{s}$ = 200 GeV for both direct photon-hadron and dihadron correlations.

The $p_{out}$ distributions are shown in several bins of $x_E$, integrated over a range of $p_T^{trig}$.

The $p_{out}$ distributions are shown in several bins of $x_E$, integrated over a range of $p_T^{trig}$.

The $p_{out}$ distributions are shown in several bins of $x_E$, integrated over a range of $p_T^{trig}$.

The $p_{out}$ distributions are shown in several bins of $x_E$, integrated over a range of $p_T^{trig}$.

The $p_{out}$ distributions are shown in several bins of $x_E$, integrated over a range of $p_T^{trig}$.

The $p_{out}$ distributions are shown in several bins of $x_E$, integrated over a range of $p_T^{trig}$.

The $p_{out}$ distributions are shown in several bins of $x_E$, integrated over a range of $p_T^{trig}$.

The $p_{out}$ distributions are shown in several bins of $x_E$, integrated over a range of $p_T^{trig}$.

The Gaussian widths of $p_{out}$ as a function of $x_E$ are shown for both $\pi^0$ and direct photon triggered correlations.

The nonperturbative Gaussian widths are shown as a function of $x_E$ for $\sqrt{s}$ = 510 GeV. The points for $\sqrt{s}$ = 200 GeV are given in figure 8 and its associated table.

The nonperturbative Gaussian widths are shown as a function of $x_E$ for $\sqrt{s}$ = 510 GeV. The points for $\sqrt{s}$ = 200 GeV are given in figure 8 and its associated table.

Backward [$x_F$ < 0] $A^{J/\psi}_N$ vs high $p_T$ for $p$+$p$, $p$+Al, and $p$+Au collisions.

$A^{J/\psi}_N$ vs $x_F$ for $p$+$p$, $p$+Al, and $p$+Au collisions.

$A^{J/\psi}_N$ vs $x_F$ for $p$+$p$, $p$+Al, and $p$+Au collisions.

$A^{J/\psi}_N$ vs $x_F$ for $p$+$p$, $p$+Al, and $p$+Au collisions.

$A^{J/\psi}_N$ vs $x_F$ for $p$+$p$, $p$+Al, and $p$+Au collisions.

Centrality dependence of (a) $v_2${2} and (b) $v_2${4}. (a) The red points indicate no pseudorapidity gap whereas the magenta points indicate a pseudorapidity gap of |$\Delta\eta$| > 2.0. (b) The black points indicate $v_2${4} with no pseudorapidity gap, the blue points indicate a two-subevent method with |$\Delta\eta$| > 2.0 but where some short-range pairs are allowed, and the red points indicate a two-subevent method with |$\Delta\eta$| > 2.0 where no short-range pairs are allowed.

Centrality dependence of (a) $v_2${2} and (b) $v_2${4}. (a) The red points indicate no pseudorapidity gap whereas the magenta points indicate a pseudorapidity gap of |$\Delta\eta$| > 2.0. (b) The black points indicate $v_2${4} with no pseudorapidity gap, the blue points indicate a two-subevent method with |$\Delta\eta$| > 2.0 but where some short-range pairs are allowed, and the red points indicate a two-subevent method with |$\Delta\eta$| > 2.0 where no short-range pairs are allowed.

Multi-particle $v_2$ as a function of centrality in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The magenta open diamonds indicate the $v_2${SP }, the blue open squares indicate $v_2${4}, the black open circles indicate $v_2${6}, and the green filled diamonds indicate $v_2${8}.

Multi-particle $v_2$ as a function of centrality in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The magenta open diamonds indicate the $v_2${SP }, the blue open squares indicate $v_2${4}, the black open circles indicate $v_2${6}, and the green filled diamonds indicate $v_2${8}.

Multi-particle $v_2$ as a function of centrality in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The magenta open diamonds indicate the $v_2${SP }, the blue open squares indicate $v_2${4}, the black open circles indicate $v_2${6}, and the green filled diamonds indicate $v_2${8}.

Multi-particle $v_2$ as a function of centrality in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The magenta open diamonds indicate the $v_2${SP }, the blue open squares indicate $v_2${4}, the black open circles indicate $v_2${6}, and the green filled diamonds indicate $v_2${8}.

Cumulant method estimate of $\sigma_{v_{2}}$ / $\langle v_{2} \rangle$ as a function of centrality in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The data are shown as black open squares. The same calculation as done in data is done in ampt, shown as a solid green line. Calculations of $\sigma_{\epsilon_{2}}$ /$ \langle\epsilon_{2}\rangle$ performed in the Monte Carlo Glauber model are shown as blue lines. The solid blue line is the Monte Carlo Glauber calculation done using the same estimate as the data, the dashed blue line is the direct calculation of the moments of the MC Glauber $\epsilon_{2}$ distribution.

Centrality dependence of $v_3${2, |$\Delta\eta$| > 2} in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, shown as magenta diamonds. The systematic uncertainty is indicated as a shaded magenta band. Also shown as black squares are $\sqrt{\langle v^{2}_{3}\rangle}$ as determined from the folding analysis, which is shown in the next section.

Centrality dependence of $v_3${2, |$\Delta\eta$| > 2} in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, shown as magenta diamonds. The systematic uncertainty is indicated as a shaded magenta band. Also shown as black squares are $\sqrt{\langle v^{2}_{3}\rangle}$ as determined from the folding analysis, which is shown in the next section.

Centrality dependence of $c_3${4} for Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. (a) Calculations using both arms: $c_3${4} (black circles), $c_3${4}$_{ab|ab}$ (blue diamonds), $c_3${4}$_{aa|bb}$ (red squares), and comparison to STAR [36] (black stars). (b) Comparison of $c_3${4} determined using both arms (open symbols) and a single arm (closed symbols). Note that the open black circles are the same in (a) and (b).

Centrality dependence of $c_3${4} for Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. (a) Calculations using both arms: $c_3${4} (black circles), $c_3${4}$_{ab|ab}$ (blue diamonds), $c_3${4}$_{aa|bb}$ (red squares), and comparison to STAR [36] (black stars). (b) Comparison of $c_3${4} determined using both arms (open symbols) and a single arm (closed symbols). Note that the open black circles are the same in (a) and (b).

Centrality dependence of $c_3${4} for Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. (a) Calculations using both arms: $c_3${4} (black circles), $c_3${4}$_{ab|ab}$ (blue diamonds), $c_3${4}$_{aa|bb}$ (red squares), and comparison to STAR [36] (black stars). (b) Comparison of $c_3${4} determined using both arms (open symbols) and a single arm (closed symbols). Note that the open black circles are the same in (a) and (b).

Folding results for (a) $v_2$, (b) $\sigma_{v_{2}}$ , and (c) $\sigma_{v_{2}}$ / $\langle v_{2}\rangle$. The black lines above and below the points indicate the systematic uncertainties. The red (green) boxes indicate the statistical uncertainties at the 68.27% (95.45%) confidence level. In the case of $\langle v_{2}\rangle$, the statistical uncertainties at the 68.27% confidence level are too small to be seen, and the uncertainties at the 95.45% confidence level are visible but noticeably smaller than the marker size. Shown as blue squares are the same quantities as determined using the cumulant based calculation—these points are slightly offset in the x-coordinate to improve visibility.

Folding results for (a) $v_2$, (b) $\sigma_{v_{2}}$ , and (c) $\sigma_{v_{2}}$ / $\langle v_{2}\rangle$. The black lines above and below the points indicate the systematic uncertainties. The red (green) boxes indicate the statistical uncertainties at the 68.27% (95.45%) confidence level. In the case of $\langle v_{2}\rangle$, the statistical uncertainties at the 68.27% confidence level are too small to be seen, and the uncertainties at the 95.45% confidence level are visible but noticeably smaller than the marker size. Shown as blue squares are the same quantities as determined using the cumulant based calculation—these points are slightly offset in the x-coordinate to improve visibility.

Folding results for (a) $v_2$, (b) $\sigma_{v_{2}}$ , and (c) $\sigma_{v_{2}}$ / $\langle v_{2}\rangle$. The black lines above and below the points indicate the systematic uncertainties. The red (green) boxes indicate the statistical uncertainties at the 68.27% (95.45%) confidence level. In the case of $\langle v_{2}\rangle$, the statistical uncertainties at the 68.27% confidence level are too small to be seen, and the uncertainties at the 95.45% confidence level are visible but noticeably smaller than the marker size. Shown as blue squares are the same quantities as determined using the cumulant based calculation—these points are slightly offset in the x-coordinate to improve visibility.

Folding results for (a) $\langle v_{3}\rangle$, (b) $\sigma_{v_{3}}$ , and (c) $\sigma_{v_{3}}$ /$\langle v_{3}\rangle$. The black lines above and below the points indicate the systematic uncertainties. The red (green) boxes indicate the statistical uncertainties at the 68.27% (95.45%) confidence level. The $\sigma_{v_{3}}$ /$\langle v_{3}\rangle$ values are all ≈ 0.52, the apparent limiting value of this quantity for the Bessel-Gaussian distribution.

Folding results for (a) $\langle v_{3}\rangle$, (b) $\sigma_{v_{3}}$ , and (c) $\sigma_{v_{3}}$ /$\langle v_{3}\rangle$. The black lines above and below the points indicate the systematic uncertainties. The red (green) boxes indicate the statistical uncertainties at the 68.27% (95.45%) confidence level. The $\sigma_{v_{3}}$ /$\langle v_{3}\rangle$ values are all ≈ 0.52, the apparent limiting value of this quantity for the Bessel-Gaussian distribution.

Folding results for (a) $\langle v_{3}\rangle$, (b) $\sigma_{v_{3}}$ , and (c) $\sigma_{v_{3}}$ /$\langle v_{3}\rangle$. The black lines above and below the points indicate the systematic uncertainties. The red (green) boxes indicate the statistical uncertainties at the 68.27% (95.45%) confidence level. The $\sigma_{v_{3}}$ /$\langle v_{3}\rangle$ values are all ≈ 0.52, the apparent limiting value of this quantity for the Bessel-Gaussian distribution.

Integrated per-trigger yields as a function of associated particle angle relative to $\psi_2$ event plane $\phi^a - \psi_2$ integrated over the near side $|\Delta\phi|<\pi/4$.

Integrated per-trigger yields as a function of associated particle angle relative to $\psi_2$ event plane $\phi^a - \psi_2$ integrated over the away side $|\Delta\phi|<\pi/4$.

Integrated per-trigger yields as a function of associated particle angle relative to $\psi_2$ event plane for near-side $|\Delta\phi|<\pi/4$ and for away-side $|\Delta\phi|<\pi/4$.

Integrated per-trigger yields as a function of associated particle angle relative to $\psi_2$ event plane for near-side $|\Delta\phi|<\pi/4$ and for away-side $|\Delta\phi|<\pi/4$.

Per-trigger yields $Y(\Delta\phi)$ of dihadrons pairs measured in Au$+$Au collisions at $\sqrt{s_{_{NN}}}=200~{\rm GeV}$ after subtracting the underlying event model with several $p_T$ selections. Systematic uncertainties due to track matching are given.

Per-trigger yields $Y(\Delta\phi)$ of dihadrons pairs measured in Au$+$Au collisions at $\sqrt{s_{_{NN}}}=200~{\rm GeV}$ after subtracting the underlying event model with several $p_T$ selections. Systematic uncertainties due to track matching are given.

$\Psi_{2}$-dependent $C(\Delta\phi)$ for $2<p_{T}^{trig}<4$ GeV/c and $1<p_{T}^{assoc}<2$ GeV/c.

$\Psi_{2}$-dependent $C(\Delta\phi)$ for $2<p_{T}^{trig}<4$ GeV/c and $2<p_{T}^{assoc}<4$ GeV/c.

$\Psi_{2}$-dependent $C(\Delta\phi)$ for $4<p_{T}^{trig}<10$ GeV/c and $2<p_{T}^{assoc}<4$ GeV/c.

$\Psi_{3}$-dependent $C(\Delta\phi)$ for $2<p_{T}^{trig}<4$ GeV/c and $1<p_{T}^{assoc}<2$ GeV/c.

$\Psi_{3}$-dependent $C(\Delta\phi)$ for $2<p_{T}^{trig}<4$ GeV/c and $2<p_{T}^{assoc}<4$ GeV/c.

$\Psi_{3}$-dependent $C(\Delta\phi)$ for $4<p_{T}^{trig}<10$ GeV/c and $1<p_{T}^{assoc}<2$ GeV/c.

$\Psi_{2}$-dependent $Y(\Delta\phi)$ for $2<p_{T}^{trig}<4$ GeV/c and $1<p_{T}^{assoc}<2$ GeV/c.

$\Psi_{2}$-dependent $C(\Delta\phi)$ for $2<p_{T}^{trig}<4$ GeV/c and $2<p_{T}^{assoc}<4$ GeV/c.

$\Psi_{2}$-dependent $C(\Delta\phi)$ for $4<p_{T}^{trig}<10$ GeV/c and $2<p_{T}^{assoc}<4$ GeV/c.

$\Psi_{3}$-dependent $C(\Delta\phi)$ for $2<p_{T}^{trig}<4$ GeV/c and $1<p_{T}^{assoc}<2$ GeV/c.

$\Psi_{3}$-dependent $C(\Delta\phi)$ for $2<p_{T}^{trig}<4$ GeV/c and $2<p_{T}^{assoc}<4$ GeV/c.

$\Psi_{3}$-dependent $C(\Delta\phi)$ for $4<p_{T}^{trig}<10$ GeV/c and $2<p_{T}^{assoc}<4$ GeV/c.

$\Psi_2$-dependent C for 2 $< p_T^t <$ 4 and 1 $< p_T^a <$ 2 GeV/c.

$\Psi_2$-dependent C for 2 $< p_T^t <$ 4 and 2 $< p_T^a <$ 4 GeV/c.

$\Psi_2$-dependent C for 4 $< p_T^t <$ 10 and 2 $< p_T^a <$ 4 GeV/c.

$\Psi_2$-dependent Y for 2 $< p_T^t <$ 4 and 1 $< p_T^a <$ 2 GeV/c.

$\Psi_2$-dependent Y for 2 $< p_T^t <$ 4 and 2 $< p_T^a <$ 4 GeV/c.

$\Psi_2$-dependent Y for 4 $< p_T^t <$ 10 and 2 $< p_T^a <$ 4 GeV/c.

$\Psi_3$-dependent C for 2 $< p_T^t <$ 4 and 1 $< p_T^a <$ 2 GeV/c.

$\Psi_3$-dependent C for 2 $< p_T^t <$ 4 and 2 $< p_T^a <$ 4 GeV/c.

$\Psi_3$-dependent C for 4 $< p_T^t <$ 10 and 2 $< p_T^a <$ 4 GeV/c.

$\Psi_3$-dependent Y for 2 $< p_T^t <$ 4 and 1 $< p_T^a <$ 2 GeV/c.

$\Psi_3$-dependent Y for 2 $< p_T^t <$ 4 and 2 $< p_T^a <$ 4 GeV/c.

$\Psi_3$-dependent Y for 4 $< p_T^t <$ 10 and 2 $< p_T^a <$ 4 GeV/c.

Fourier fit coefficients for CNT-MPCN ($d$-going) correlations, as a function of collision system and $\pi^0$ $p_T$: (a) the negative of the dipole coefficient, $-c_1$; (b) the quadrupole coefficient $c_2$; (c) the ratio ${-c_2}/{c_1}$.

Fourier fit coefficients for CNT-MPCN ($d$-going) correlations, as a function of collision system and $\pi^0$ $p_T$: Fractional systematic uncertainty on the quadrupole coefficient $c_2$ for $d$+Au.

Fourier fit coefficients for CNT-MPCN ($d$-going) correlations, as a function of collision system and $\pi^0$ $p_T$: Fractional systematic uncertainty on the quadrupole coefficient $c_2$ for $d$+Au and $p$+$p$.

System centrality dependence of correlation coefficients $-c_1$, $c_2$, and the ratio ${-c_2}/{c_1}$ as a function of $N_{part}$.

System centrality dependence of correlation coefficients $-c_1$, $c_2$, and the ratio ${-c_2}/{c_1}$ as a function of $N_{part}$.

Transverse momentum dependence of $v_2$ for identified pions and protons within $|\eta|$ < 0.35 in 0-5% central $^3$He+Au collisions.

Lévy scale parameter $R$ versus average $m_T$ of the pair. The graphical representation of statistical and systematic uncertainties is the same as in Fig. 4.

Lévy index parameter $\alpha$ versus average $m_T$ of the pair. Statistical and systematic uncertainties are indicated similarly to Fig. 4. The horizontal line, %\aplha$ = 1.207, represents the 0%-30% centrality average value of %\aplha$.

Inverse square of the Lévy scale parameter 1/$R^2$ versus average $m_T$ of the pair. Statistical and systematic uncertainties shown as bars and boxes, respectively.

New scale parameter $\hat{R}$ versus average $m_T$ of the pair, with a linear fit. Statistical and systematic uncertainties shown as bars and boxes, respectively.

Normalized correlation strength parameter $\lambda/\lambda_{max}$ versus average $m_T$ of the pair. The data are compared with parameter scans from Refs. [58, 59] using different values of in-medium $\eta^{\prime}$ mass $m^{*}_{\eta^{\prime}}$ and slope parameter $B^{-1}_{\eta^{\prime}}$ . A best fit with Eq. (63) and the resulting $H$ and $\sigma$ parameters are also shown.

Normalized correlation strength parameter $\lambda/\lambda_{max}$ versus average $m_T$ of the pair. The data are compared with parameter scans from Refs. [58, 59] using different values of in-medium $\eta^{\prime}$ mass $m^{*}_{\eta^{\prime}}$ and slope parameter $B^{-1}_{\eta^{\prime}}$ . A best fit with Eq. (63) and the resulting $H$ and $\sigma$ parameters are also shown.

Normalized correlation strength parameter $\lambda/\lambda_{max}$ versus average $m_T$ of the pair. The data are compared with parameter scans from Refs. [58, 59] using different values of in-medium $\eta^{\prime}$ mass $m^{*}_{\eta^{\prime}}$ and slope parameter $B^{-1}_{\eta^{\prime}}$ . A best fit with Eq. (63) and the resulting $H$ and $\sigma$ parameters are also shown.

Normalized correlation strength parameter $\lambda/\lambda_{max}$ versus average $m_T$ of the pair. The data are compared with parameter scans from Refs. [58, 59] using different values of in-medium $\eta^{\prime}$ mass $m^{*}_{\eta^{\prime}}$ and slope parameter $B^{-1}_{\eta^{\prime}}$ . A best fit with Eq. (63) and the resulting $H$ and $\sigma$ parameters are also shown.

Normalized correlation strength parameter $\lambda/\lambda_{max}$ versus average $m_T$ of the pair. The data are compared with parameter scans from Refs. [58, 59] using different values of in-medium $\eta^{\prime}$ mass $m^{*}_{\eta^{\prime}}$ and slope parameter $B^{-1}_{\eta^{\prime}}$ . A best fit with Eq. (63) and the resulting $H$ and $\sigma$ parameters are also shown.

$v_2${2}, $v_2${2, |$\Delta\eta$| > 2}, and $v_2${4} as a function of $N^{FVTX}_{tracks}$ in $d$+Au collisions with $\sqrt{s_{NN}}$= (a) 200 GeV, (b) 62.4 GeV, (c) 39 GeV, and (d) 19.6 GeV; also shown in (a) is $v_2${6} for $\sqrt{s_{NN}}$= 200 GeV. The arrowheads on the statistical uncertainties indicate cases where the standard 1$\sigma$ uncertainty on the $c_2${4} crosses zero. For 19.6 GeV, the combined confidence interval for $v_2${4} to be real is 79%.

$v_2${2}, $v_2${2, |$\Delta\eta$| > 2}, and $v_2${4} as a function of $N^{FVTX}_{tracks}$ in $d$+Au collisions with $\sqrt{s_{NN}}$= (a) 200 GeV, (b) 62.4 GeV, (c) 39 GeV, and (d) 19.6 GeV; also shown in (a) is $v_2${6} for $\sqrt{s_{NN}}$= 200 GeV. The arrowheads on the statistical uncertainties indicate cases where the standard 1$\sigma$ uncertainty on the $c_2${4} crosses zero. For 19.6 GeV, the combined confidence interval for $v_2${4} to be real is 79%.

$v_2${2}, $v_2${2, |$\Delta\eta$| > 2}, and $v_2${4} as a function of $N^{FVTX}_{tracks}$ in $d$+Au collisions with $\sqrt{s_{NN}}$= (a) 200 GeV, (b) 62.4 GeV, (c) 39 GeV, and (d) 19.6 GeV; also shown in (a) is $v_2${6} for $\sqrt{s_{NN}}$= 200 GeV. The arrowheads on the statistical uncertainties indicate cases where the standard 1$\sigma$ uncertainty on the $c_2${4} crosses zero. For 19.6 GeV, the combined confidence interval for $v_2${4} to be real is 79%.

$v_2${2}, $v_2${2, |$\Delta\eta$| > 2}, and $v_2${4} as a function of $N^{FVTX}_{tracks}$ in $d$+Au collisions with $\sqrt{s_{NN}}$= (a) 200 GeV, (b) 62.4 GeV, (c) 39 GeV, and (d) 19.6 GeV; also shown in (a) is $v_2${6} for $\sqrt{s_{NN}}$= 200 GeV. The arrowheads on the statistical uncertainties indicate cases where the standard 1$\sigma$ uncertainty on the $c_2${4} crosses zero. For 19.6 GeV, the combined confidence interval for $v_2${4} to be real is 79%.

$v_2${2}, $v_2${2, |$\Delta\eta$| > 2}, and $v_2${4} as a function of $N^{FVTX}_{tracks}$ in $d$+Au collisions with $\sqrt{s_{NN}}$= (a) 200 GeV, (b) 62.4 GeV, (c) 39 GeV, and (d) 19.6 GeV; also shown in (a) is $v_2${6} for $\sqrt{s_{NN}}$= 200 GeV. The arrowheads on the statistical uncertainties indicate cases where the standard 1$\sigma$ uncertainty on the $c_2${4} crosses zero. For 19.6 GeV, the combined confidence interval for $v_2${4} to be real is 79%.

$v_2${2}, $v_2${2, |$\Delta\eta$| > 2}, and $v_2${4} as a function of $N^{FVTX}_{tracks}$ in $d$+Au collisions with $\sqrt{s_{NN}}$= (a) 200 GeV, (b) 62.4 GeV, (c) 39 GeV, and (d) 19.6 GeV; also shown in (a) is $v_2${6} for $\sqrt{s_{NN}}$= 200 GeV. The arrowheads on the statistical uncertainties indicate cases where the standard 1$\sigma$ uncertainty on the $c_2${4} crosses zero. For 19.6 GeV, the combined confidence interval for $v_2${4} to be real is 79%.

$v_2${2}, $v_2${2, |$\Delta\eta$| > 2}, and $v_2${4} as a function of $N^{FVTX}_{tracks}$ in $d$+Au collisions with $\sqrt{s_{NN}}$= (a) 200 GeV, (b) 62.4 GeV, (c) 39 GeV, and (d) 19.6 GeV; also shown in (a) is $v_2${6} for $\sqrt{s_{NN}}$= 200 GeV. The arrowheads on the statistical uncertainties indicate cases where the standard 1$\sigma$ uncertainty on the $c_2${4} crosses zero. For 19.6 GeV, the combined confidence interval for $v_2${4} to be real is 79%.

$v_2${2}, $v_2${2, |$\Delta\eta$| > 2}, and $v_2${4} as a function of $N^{FVTX}_{tracks}$ in $d$+Au collisions with $\sqrt{s_{NN}}$= (a) 200 GeV, (b) 62.4 GeV, (c) 39 GeV, and (d) 19.6 GeV; also shown in (a) is $v_2${6} for $\sqrt{s_{NN}}$= 200 GeV. The arrowheads on the statistical uncertainties indicate cases where the standard 1$\sigma$ uncertainty on the $c_2${4} crosses zero. For 19.6 GeV, the combined confidence interval for $v_2${4} to be real is 79%.

$v_2${2}, $v_2${2, |$\Delta\eta$| > 2}, and $v_2${4} as a function of $N^{FVTX}_{tracks}$ in $d$+Au collisions with $\sqrt{s_{NN}}$= (a) 200 GeV, (b) 62.4 GeV, (c) 39 GeV, and (d) 19.6 GeV; also shown in (a) is $v_2${6} for $\sqrt{s_{NN}}$= 200 GeV. The arrowheads on the statistical uncertainties indicate cases where the standard 1$\sigma$ uncertainty on the $c_2${4} crosses zero. For 19.6 GeV, the combined confidence interval for $v_2${4} to be real is 79%.

$v_2${2}, $v_2${2, |$\Delta\eta$| > 2}, and $v_2${4} as a function of $N^{FVTX}_{tracks}$ in $d$+Au collisions with $\sqrt{s_{NN}}$= (a) 200 GeV, (b) 62.4 GeV, (c) 39 GeV, and (d) 19.6 GeV; also shown in (a) is $v_2${6} for $\sqrt{s_{NN}}$= 200 GeV. The arrowheads on the statistical uncertainties indicate cases where the standard 1$\sigma$ uncertainty on the $c_2${4} crosses zero. For 19.6 GeV, the combined confidence interval for $v_2${4} to be real is 79%.

$v_2${2}, $v_2${2, |$\Delta\eta$| > 2}, and $v_2${4} as a function of $N^{FVTX}_{tracks}$ in $d$+Au collisions with $\sqrt{s_{NN}}$= (a) 200 GeV, (b) 62.4 GeV, (c) 39 GeV, and (d) 19.6 GeV; also shown in (a) is $v_2${6} for $\sqrt{s_{NN}}$= 200 GeV. The arrowheads on the statistical uncertainties indicate cases where the standard 1$\sigma$ uncertainty on the $c_2${4} crosses zero. For 19.6 GeV, the combined confidence interval for $v_2${4} to be real is 79%.

$v_2${2} and $v_2${4} as a function of $\sqrt{s_{NN}}$ in $d$+Au collisions. AMPT calculations are shown for comparison. For 19.6 GeV the confidence interval for $v_2${4} to be real is 79%.