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.

Inclusive unlike-sign $\mu \mu$ pair yield from $p$+$p$ collisions at $\sqrt{s}$ = 200 GeV as a function of mass in different $p_T$ slices for the south and north muon arms and the ratio of data to expected sources.

Inclusive unlike-sign $\mu \mu$ pair yield from $p$+$p$ collisions at $\sqrt{s}$ = 200 GeV as a function of mass in different $p_T$ slices for the south and north muon arms and the ratio of data to expected sources.

Inclusive like-sign $\mu \mu$ pair yield from $p$+$p$ collisions at $\sqrt{s}$ = 200 GeV as a function of mass in different $p_T$ slices for the south and north muon arms and the ratio of data to expected sources.

Inclusive like-sign $\mu \mu$ pair yield from $p$+$p$ collisions at $\sqrt{s}$ = 200 GeV as a function of mass in different $p_T$ slices for the south and north muon arms and the ratio of data to expected sources.

Inclusive like-sign $\mu \mu$ pair yield from $p$+$p$ collisions at $\sqrt{s}$ = 200 GeV as a function of mass in different $p_T$ slices for the south and north muon arms and the ratio of data to expected sources.

The $\mu \mu$ pair data in the charm mass region as a function of $\Delta \phi$.

The $\mu \mu$ pair data in the charm mass region as a function of $\Delta \phi.$

The $\mu \mu$ pair data in the charm mass region as a function of pair $p_T$.

The $\mu \mu$ pair data in the charm mass region as a function of pair $p_T$

The like-sign $\mu \mu$ pair data in the bottom mass region as a function of $\Delta \phi$.

The like-sign $\mu \mu$ pair data in the bottom mass region as a function of $\Delta \phi$.

The like-sign $\mu \mu$ pair data in the bottom mass region as a function of pair $p_T$.

The like-sign $\mu \mu$ pair data in the bottom mass region as a function of pair $p_T$.

The unlike-sign $\mu \mu$ pair data used to determine the Drell-Yan contribution as a function of mass.

The unlike-sign $\mu \mu$ pair data used to determine the Drell-Yan contribution as a function of mass.

The unlike-sign $\mu \mu$ pair data used to determine the Drell-Yan contribution as a function of pair $p_T$.

The unlike-sign $\mu \mu$ pair data used to determine the Drell-Yan contribution as a function of pair $p_T$.

Summary of arm-averaged relative systematic uncertainties for the total bottom cross section $\sigma _{b\bar{b}}$, the differential Drell-Yan cross section $d^{2}\sigma _{DY\implies \mu\mu}/dmdy$, and the $b\bar{b}$ ($c\bar{c}$) differential yields $dN_{b\bar{b}(c\bar{c})\implies \mu\mu}/d\Delta\phi$. The systematic uncertainty type is indicated in the second column and is applicable only to the differential measurements. The uncertainties for the differential measurements vary with azimuthal opening angle, pair $p_{T}$ , or mass. Asymmetric uncertainties are quoted in bracketed values. For the $c\bar{c}$ measurement, the regions $\Delta\phi$ < $\pi$/2, $p_{T}$ < 0.5 GeV/$c$ and $p_{T}$ > 2.0 GeV/$c$ are excluded because the yield approaches zero and relative systematic uncertainties diverge. With these regions excluded, the difference between the systematic uncertainties of all measurements for the south and north muon arms differs by no greater than 2% for all systematic uncertainties sources.

The differential yield $dN/d\phi$ of unlike-sign muon pairs from charm with mass 1.5-2.5 GeV/$c^2$ in the ideal muon arm acceptance, as a function of the pair azimuthal opening angle. Statistical (stat.) and types B and C systematic errors (sys. B & sys. C) are all $10^{-9}\times$[rad$^{-1}$].

The differential yield $dN/d\phi$ of like-sign muon pairs from bottom with mass 3.5-10.0 GeV/$c^2$ in the ideal muon arm acceptance, as a function of the pair azimuthal opening angle. Statistical (stat.) and types B and C systematic errors (sys. B & sys. C) are all $10^{-9}\times$[rad$^{-1}$].

The differential yield $dN/dp_{T}$ of unlike-sign muon pairs from bottom with mass 1.5-2.5 GeV/$c^2$ in the ideal muon arm acceptance, as a function of the pair transverse momentum. Statistical (stat.) and types B and C systematic errors (sys. B & sys. C) are all $10^{-9}\times$[$c$/GeV].

The differential yield $dN/dp_{T}$ of like-sign muon pairs from bottom with mass 3.5-10.0 GeV/$c^2$ in the ideal muon arm acceptance, as a function of the pair transverse momentum. Statistical (stat.) and types B and C systematic errors (sys. B & sys. C) are all $10^{-9}\times$[$c$/GeV].

$\sigma_{b\bar{b}}$ from fit using different models. Only statistical uncertainties are shown.

The differential Drell-Yan cross section $\frac{d^{2}\sigma}{dmdy}$ as a function of the muon pair mass, where the muon pair rapidity |$y\mu\mu$| is between 1.2 and 2.2. Statistical (stat.) and types B and C systematic errors (sys. B & sys. C) are all $10^{-9}\times$[pb $c^2$/GeV]. In the data table below, the value of mass correspond to the center of the stated range.

The differential Drell-Yan cross section $\frac{1}{2\pi p_{T}} \frac{d^{2}\sigma}{dydp_{T}}$ as a function of the muon pair transverse momentum, where the muon pair mass $m_{\mu\mu}$ is between 4.8 and 8.2 GeV/$c^2$ and the muon pair rapidity |$y\mu\mu$| is between 1.2 and 2.2. Statistical (stat.) and types B and C systematic errors (sys. B & sys. C) are all $10^{-9}\times$[pb $c^2$/GeV]. In the data table below, the value of p_T correspond to the center of the stated range.

Probability of finding at least one TAR jet, where the p_T-leading TAR jet passes the m_Wcand and D₂^&beta;=1 requirements, as a function of m_s. The probability is determined in a sample of signal events with m_Z'=2100 GeV, with the preselections applied.

Probability of finding a W_had candidate reconstructed as a pair of R=0.4 PFlow jets, as a function of m_s. The probability is determined in a sample of signal events with m_Z'=500 GeV, with the preselections applied that do not pass the requirements of the merged category.

Probability of finding a W_had candidate reconstructed as a pair of R=0.4 PFlow jets, as a function of m_s. The probability is determined in a sample of signal events with m_Z'=1000 GeV, with the preselections applied that do not pass the requirements of the merged category.

Probability of finding a W_had candidate reconstructed as a pair of R=0.4 PFlow jets, as a function of m_s. The probability is determined in a sample of signal events with m_Z'=1700 GeV, with the preselections applied that do not pass the requirements of the merged category.

Probability of finding a W_had candidate reconstructed as a pair of R=0.4 PFlow jets, as a function of m_s. The probability is determined in a sample of signal events with m_Z'=2100 GeV, with the preselections applied that do not pass the requirements of the merged category.

Observed exclusion contour at 95&#37; C.L. for the dark Higgs model in the (m_Z', m_s) plane for g_q=0.25, g_&chi;=1, m_&chi;=200 GeV, and sin&theta;=0.01.

Expected exclusion contour at 95&#37; C.L. for the dark Higgs model in the (m_Z', m_s) plane for g_q=0.25, g_&chi;=1, m_&chi;=200 GeV, and sin&theta;=0.01.

Expected+1&sigma; exclusion contour at 95&#37; C.L. for the dark Higgs model in the (m_Z', m_s) plane for g_q=0.25, g_&chi;=1, m_&chi;=200 GeV, and sin&theta;=0.01.

Expected-1&sigma; exclusion contour at 95&#37; C.L. for the dark Higgs model in the (m_Z', m_s) plane for g_q=0.25, g_&chi;=1, m_&chi;=200 GeV, and sin&theta;=0.01.

Expected+2&sigma; exclusion contour at 95&#37; C.L. for the dark Higgs model in the (m_Z', m_s) plane for g_q=0.25, g_&chi;=1, m_&chi;=200 GeV, and sin&theta;=0.01.

Expected-2&sigma; exclusion contour at 95&#37; C.L. for the dark Higgs model in the (m_Z', m_s) plane for g_q=0.25, g_&chi;=1, m_&chi;=200 GeV, and sin&theta;=0.01.

Observed upper limits at 95&#37; C.L. on &sigma;(pp &rarr; s &chi;&chi;) &times; B(s &rarr; W^&pm; W^&mp;) for m_Z'=0.5 TeV as a function of m_s. The expected limits, varied up and down by one and two standard deviations, are shown as green and yellow bands, respectively. The observed and expected limits are compared to the theoretical LO cross section for the &sigma;(pp &rarr; s &chi;&chi;) &times; B(s &rarr; W^&pm; W^&mp;) process for m_Z'=0.5 TeV, shown in dashed blue.

Observed upper limits at 95&#37; C.L. on &sigma;(pp &rarr; s &chi;&chi;) &times; B(s &rarr; W^&pm; W^&mp;) for m_Z'=1 TeV as a function of m_s. The expected limits, varied up and down by one and two standard deviations, are shown as green and yellow bands, respectively. The observed and expected limits are compared to the theoretical LO cross section for the &sigma;(pp &rarr; s &chi;&chi;) &times; B(s &rarr; W^&pm; W^&mp;) process for m_Z'=1 TeV, shown in dashed blue.

Observed upper limits at 95&#37; C.L. on &sigma;(pp &rarr; s &chi;&chi;) &times; B(s &rarr; W^&pm; W^&mp;) for m_Z'=1.7 TeV as a function of m_s. The expected limits, varied up and down by one and two standard deviations, are shown as green and yellow bands, respectively. The observed and expected limits are compared to the theoretical LO cross section for the &sigma;(pp &rarr; s &chi;&chi;) &times; B(s &rarr; W^&pm; W^&mp;) process for m_Z'=1.7 TeV, shown in dashed blue.

Observed upper limits at 95&#37; C.L. on &sigma;(pp &rarr; s &chi;&chi;) &times; B(s &rarr; W^&pm; W^&mp;) for m_Z'=2.1 TeV as a function of m_s. The expected limits, varied up and down by one and two standard deviations, are shown as green and yellow bands, respectively. The observed and expected limits are compared to the theoretical LO cross section for the &sigma;(pp &rarr; s &chi;&chi;) &times; B(s &rarr; W^&pm; W^&mp;) process for m_Z'=2.1 TeV, shown in dashed blue.

Data overlaid on SM background yields stacked in each SR and CR category after the fit to data ('Post-fit'). The yields in the SR are broken down into their contributions to the individual bins. The maximum-likelihood estimators are set to the conditional values of the CR-only fit, and propagated to SR and CRs.

Dominant sources of uncertainty for three dark Higgs scenarios after the fit to data. The uncertainties are quantified in terms of their contribution to the fitted signal uncertainty that is expressed relative to the theory prediction. Three representative dark Higgs signal scenarios with g_q=0.25, g_&chi;=1.0, sin&theta;=0.01 and m_&chi;=200 GeV are considered, which are indicated using the (m_Z', m_s) format in units of GeV in the table columns.

Cumulative efficiencies in the merged category for three representative dark Higgs signal scenarios with g_q=0.25, g_&chi;=1.0, sin&theta;=0.01, m_Z' = 1 TeV, and m_&chi;=200 GeV considering s&rarr;W(&ell;&nu;)W(qq) decays only.

Cumulative efficiencies in the resolved category for three representative dark Higgs signal scenarios with g_q=0.25, g_&chi;=1.0, sin&theta;=0.01, m_Z' = 1 TeV, and m_&chi;=200 GeV considering s&rarr;W(&ell;&nu;)W(qq) decays only.

Theoretical cross section for &sigma;(pp &rarr; s&chi;&chi;) &times; B(s &rarr; W^&plusmn;W^&#8723;) for each of the dark Higgs signal points at m_Z′ ={300, 350, 400, 500, 750} GeV, with g_q = 0.25, g<sub>&chi; = 1.0, sin&theta; = 0.01, m_Z′ = 1 TeV , and m_&chi; = 200 GeV. Also shown are experimentally excluded cross sections of &sigma;(pp &rarr; s&chi;&chi;) &times; B(s &rarr; W^&plusmn;W^&#8723;) (Obs.) together with the expectations (Exp.) varied up and down by one standard deviation (&plusmn;1&sigma;).

Theoretical cross section for &sigma;(pp &rarr; s&chi;&chi;) &times; B(s &rarr; W^&plusmn;W^&#8723;) for each of the dark Higgs signal points at m_Z′ ={1000, 1700} GeV, with g_q = 0.25, g<sub>&chi; = 1.0, sin&theta; = 0.01, m_Z′ = 1 TeV , and m_&chi; = 200 GeV. Also shown are experimentally excluded cross sections of &sigma;(pp &rarr; s&chi;&chi;) &times; B(s &rarr; W^&plusmn;W^&#8723;) (Obs.) together with the expectations (Exp.) varied up and down by one standard deviation (&plusmn;1&sigma;).

Theoretical cross section for &sigma;(pp &rarr; s&chi;&chi;) &times; B(s &rarr; W^&plusmn;W^&#8723;) for each of the dark Higgs signal points at m_Z′ ={2100, 2500, 2900, 3300} GeV, with g_q = 0.25, g<sub>&chi; = 1.0, sin&theta; = 0.01, m_Z′ = 1 TeV , and m_&chi; = 200 GeV. Also shown are experimentally excluded cross sections of &sigma;(pp &rarr; s&chi;&chi;) &times; B(s &rarr; W^&plusmn;W^&#8723;) (Obs.) together with the expectations (Exp.) varied up and down by one standard deviation (&plusmn;1&sigma;).

$\pi^0$-h$^{\pm}$ $\sqrt{\langle p^2_{out} \rangle}$ values from fits to the $\Delta \phi$ correlations.

$\pi^0$ per trigger yields as a function of $p_{out}$.

$\pi^0$ per trigger yields as a function of $p_{out}$.

$\pi^0$ per trigger yields as a function of $p_{out}$.

Direct photon per trigger yields as a function of $p_{out}$.

$\pi^0$ per-trigger yields as a function of $\Delta \phi$.

Direct photon per-trigger yields as a function of $\Delta \phi$.

Gaussian widths from fits to the $p_{out}$ distributions.

Gaussian widths from fits to the $p_{out}$ distributions.

Frame-independent angular decay coefficient $\tilde{\lambda}$ as a function of transverse momentum for the four reference frames and three $p_T$ bins. The numbers in the CS frame for the $p_T$ = 2-3 GeV/$c$ bin are 90% confidence level upper limits.

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.