Cross Section and Parity Violating Spin Asymmetries of $W^\pm$ Boson Production in Polarized $p+p$ Collisions at $\sqrt{s}=500$ GeV

The PHENIX collaboration Adare, A. ; Afanasiev, S. ; Aidala, C. ; et al.
Phys.Rev.Lett. 106 (2011) 062001, 2011.
Inspire Record 866922 DOI 10.17182/hepdata.143617

Large parity violating longitudinal single spin asymmetries A^{e^-}_L= -0.86^{+0.14}_{-0.30} and A^{e^+}_L= 0.88^{+0.12}_{-0.71} are observed for inclusive high transverse momentum electrons and positrons in polarized pp collisions at a center of mass energy of \sqrt{s}=500\ GeV with the PHENIX detector at RHIC. These e^{+/-} come mainly from the decay of W^{+/-} and Z^0 bosons, and the asymmetries directly demonstrate parity violation in the couplings of the W^{\pm} to the light quarks. The observed electron and positron yields were used to estimate W^\pm boson production cross sections equal to \sigma(pp \to W^+ X) \times BR(W^ \to \nu_e)= 144.1+/-21.2(stat)^{+3.4}_{-10.3}(syst) +/- 15%(norm) pb, and \sigma(pp \to W^{-}X) \times BR(W^\to e^-\bar{\nu_e}) = 31.7+/-12.1(stat)^{+10.1}_{-8.2}(syst)+/-15%(norm) pb.

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The spectra of positive and negative candidates before and after an isolation cut. The computation of the background before the isolation cut is described in the text. The background band after the isolation cut is computed by scaling the background before the isolation cut by the isolation cut efficiency measured in the background region (12< $p_T$ <20GeV/$c$). The systematic errors include uncertainties in the photon conversion probability, the background normalization, and the background extrapoltion to $p_T$ > 30 GeV/$c$.

Background subtracted spectra of positron candidates taken from all counts compared to the spectrum of W and Z decays from an NLO calculation.

Background subtracted spectra of electron candidates taken from all counts compared to the spectrum of W and Z decays from an NLO calculation.


Inclusive cross section and double helicity asymmetry for pi^0 production in p+p collisions at sqrt(s) = 62.4 GeV

The PHENIX collaboration Adare, A. ; Afanasiev, S. ; Aidala, C. ; et al.
Phys.Rev.D 79 (2009) 012003, 2009.
Inspire Record 798469 DOI 10.17182/hepdata.142076

The PHENIX experiment presents results from the RHIC 2006 run with polarized proton collisions at sqrt(s) = 62.4 GeV for inclusive pi^0 production at mid-rapidity. Unpolarized cross section results are measured for transverse momenta p_T = 0.5 to 7 GeV/c. Next-to-leading order perturbative quantum chromodynamics calculations are compared with the data, and while the calculations are consistent with the measurements, next-to-leading logarithmic corrections improve the agreement. Double helicity asymmetries A_LL are presented for p_T = 1 to 4 GeV/c and probe the higher range of Bjorken_x of the gluon (x_g) with better statistical precision than our previous measurements at sqrt(s)=200 GeV. These measurements are sensitive to the gluon polarization in the proton for 0.06 < x_g < 0.4.

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The fraction of inclusive $\pi^0$ yield which satisfied the BBC trigger condition.

The neutral pion production cross section at $\sqrt{s}$ = 62.4 GeV as a function of $p_T$ and the results of next-to-leading order (NLO) and next-to-leading logarithmic accuracy (NLL) perturbative Quantum Chromodynamics (pQCD) calculations for the theory scale $\mu$ = $p_T$.

The parameter $n$ obtained from the ratio of invariant cross section at $\sqrt{s}$ = 62.4 GeV and $\sqrt{s}$ = 200GeV, at each $x_T$ of $\sqrt{s}$ = 62.4 GeV data; error bars show the statistical and systematic uncertainties of the $\sqrt{s}$ = 62.4 GeV and $\sqrt{s}$ = 200 GeV data.

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Azimuthal angle correlations for rapidity separated hadron pairs in d + Au collisions at s(NN)**(1/2) = 200-GeV.

The PHENIX collaboration Adler, S.S. ; Afanasiev, S. ; Aidala, C. ; et al.
Phys.Rev.Lett. 96 (2006) 222301, 2006.
Inspire Record 712584 DOI 10.17182/hepdata.142147

We report on two-particle azimuthal angle correlations between charged hadrons at forward/backward (deuteron/gold going direction) rapidity and charged hadrons at mid-rapidity in deuteron-gold (d+Au) and proton-proton (p+p) collisions at sqrt(s_NN) = 200 GeV. Jet structures are observed in the correlations which we quantify in terms of the conditional yield and angular width of away side partners. The kinematic region studied here samples partons in the gold nucleus carrying nucleon momentum fraction x~0.1 to x~0.01. Within this range, we find no x dependence of the jet structure in d+Au collisions.

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Azimuthal angle correlation functions. Note that the y-axis is zero-suppressed on the middle and bottom panels. In the additonal resource, the Gaussian widths from the fits and the signal to background ration integrated over $\pi$ - 1 < $\Delta\phi$ < $\pi$ + 1 are shown.

Conditional yields (CY) shown as a function of trigger particle pseudorapitidy for trigger particle $p_T$ from 2.5 to 4.0 and associated particle $p_T$ from 1.0 to 2.5 GeV/$c$. The additional $\pm$0.037 systematic error on the mid-rapidity $p+p$ point is from jet yield extraction. There is a 1% point-by-point systematical error on all points except central arm triggers. There is also a 10% systematic error for all data points due to the determination of associated particle efficiency. For $p + p$ point, forward and backward trigger are combined, so the results are identical.

$I_{dAu}$ vs. $p_T^{assoc}$ for different centrality, $p_T^{trig}$ and $\eta^{trig}$ bins.

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Measurements of Higher-Order Flow Harmonics in Au+Au Collisions at sqrt(s_NN) = 200 GeV

The PHENIX collaboration Adare, A. ; Afanasiev, S. ; Aidala, C. ; et al.
Phys.Rev.Lett. 107 (2011) 252301, 2011.
Inspire Record 900703 DOI 10.17182/hepdata.99679

Flow coefficients v_n for n = 2, 3, 4, characterizing the anisotropic collective flow in Au+Au collisions at sqrt(s_NN) = 200 GeV, are measured relative to event planes Ψ_n determined at large rapidity. We report v_n as a function of transverse momentum and collision centrality, and study the correlations among the event planes of different order n. The v_n are well described by hydrodynamic models which employ a Glauber Monte Carlo initial state geometry with fluctuations, providing additional constraining power on the interplay between initial conditions and the effects of viscosity as the system evolves. This new constraint improves precision of the extracted viscosity to entropy density ratio eta/s.

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Charged hadron azimuthal anisotropy $v_2$, $v_3$, and $v_4$ vs $p_T$ in 0-10% central Au+Au collisions at 200 GeV. The mean $<p_T>$ in each $p_T$ bins used for the $v_n$ measurement is shown in Fig.2.6.

Charged hadron azimuthal anisotropy $v_2$, $v_3$, and $v_4$ vs $p_T$ in 10-20% central Au+Au collisions at 200 GeV. The mean $<p_T>$ in each $p_T$ bins used for the $v_n$ measurement is shown in Fig.2.6.

Charged hadron azimuthal anisotropy $v_2$, $v_3$, and $v_4$ vs $p_T$ in 20-30% central Au+Au collisions at 200 GeV. The mean $<p_T>$ in each $p_T$ bins used for the $v_n$ measurement is shown in Fig.2.6.

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Observation of direct-photon collective flow in sqrt(s_NN)=200 GeV Au+Au collisions

The PHENIX collaboration Adare, A. ; Afanasiev, S. ; Aidala, C. ; et al.
Phys.Rev.Lett. 109 (2012) 122302, 2012.
Inspire Record 900818 DOI 10.17182/hepdata.144510

The second Fourier component v_2 of the azimuthal anisotropy with respect to the reaction plane was measured for direct photons at midrapidity and transverse momentum (p_T) of 1--13 GeV/c in Au+Au collisions at sqr(s_NN)=200 GeV. Previous measurements of this quantity for hadrons with p_T < 6 GeV/c indicate that the medium behaves like a nearly perfect fluid, while for p_T > 6 GeV/c a reduced anisotropy is interpreted in terms of a path-length dependence for parton energy loss. In this measurement with the PHENIX detector at the Relativistic Heavy Ion Collider we find that for p_T > 4 GeV/c the anisotropy for direct photons is consistent with zero, as expected if the dominant source of direct photons is initial hard scattering. However, in the p_T < 4 GeV/c region dominated by thermal photons, we find a substantial direct photon v_2 comparable to that of hadrons, whereas model calculations for thermal photons in this kinematic region significantly underpredict the observed v_2.

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$v_2$ in minimum bias collisions, using two different reaction plane detectors: (solid black circles) BBC and (solid red squares) RXN for (a) $\pi^0$, (b) inclusive photon, and (c) direct photon.

Centrality dependence of $v_2$ (a, c, e) for (solid-black circles) $\pi^0$, (solid-red squares) inclusive photons, and (b, d, f) (solid-black circles) direct photons measured with the BBC detector for (a),(b) minimum-bias (c),(d) 0%-20% centrality, and (e),(f) 20%-40% centrality.

Centrality dependence of $v_2$ (a, c, e) for (solid-black circles) $\pi^0$, (solid-red squares) inclusive photons, and (b, d, f) (solid-black circles) direct photons measured with the BBC detector for (a),(b) minimum-bias (c),(d) 0%-20% centrality, and (e),(f) 20%-40% centrality.

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Deviation from quark-number scaling of the anisotropy parameter v_2 of pions, kaons, and protons in Au+Au collisions at sqrt(s_NN) = 200 GeV

The PHENIX collaboration Adare, A. ; Afanasiev, S. ; Aidala, C. ; et al.
Phys.Rev.C 85 (2012) 064914, 2012.
Inspire Record 1093596 DOI 10.17182/hepdata.141645

Measurements of the anisotropy parameter v_2 of identified hadrons (pions, kaons, and protons) as a function of centrality, transverse momentum p_T, and transverse kinetic energy KE_T at midrapidity (|\eta|<0.35) in Au+Au collisions at sqrt(s_NN) = 200 GeV are presented. Pions and protons are identified up to p_T = 6 GeV/c, and kaons up to p_T = 4 GeV/c, by combining information from time-of-flight and aerogel Cherenkov detectors in the PHENIX Experiment. The scaling of v_2 with the number of valence quarks (n_q) has been studied in different centrality bins as a function of transverse momentum and transverse kinetic energy. A deviation from previously observed quark-number scaling is observed at large values of KE_T/n_q in noncentral Au+Au collisions (20--60%), but this scaling remains valid in central collisions (0--10%).

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Identified hadron $v_2$ in central (0–20% centrality, left panels) Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. Panels (a) and (b) show $v_2$ as a function of transverse momentum $p_T$. The $v_2$ of all species for centrality 0–20% has been scaled up by a factor of 1.6 for better comparison with results of 20–60% centrality. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

Identified hadron $v_2$ in central (0–20% centrality, left panels) Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. Panels (a) and (b) show $v_2$ as a function of transverse momentum $p_T$. The $v_2$ of all species for centrality 0–20% has been scaled up by a factor of 1.6 for better comparison with results of 20–60% centrality. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

Identified hadron $v_2$ in central (0–20% centrality, left panels) Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. Panels (a) and (b) show $v_2$ as a function of transverse momentum $p_T$. The $v_2$ of all species for centrality 0–20% has been scaled up by a factor of 1.6 for better comparison with results of 20–60% centrality. The error bars (shaded boxes) represent the statistical (systematic) uncertainties. The systematic uncertainties shown are type A and B only.

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Azimuthal-angle dependence of charged-pion-interferometry measurements with respect to 2$^{\rm nd}$- and $3^{\rm rd}$-order event planes in Au$+$Au collisions at $\sqrt{s_{_{NN}}}=200$ GeV

The PHENIX collaboration Adare, A. ; Afanasiev, S. ; Aidala, C. ; et al.
Phys.Rev.Lett. 112 (2014) 222301, 2014.
Inspire Record 1279634 DOI 10.17182/hepdata.141895

Charged-pion-interferometry measurements were made with respect to the 2$^{\rm nd}$- and 3$^{\rm rd}$-order event plane for Au$+$Au collisions at $\sqrt{s_{_{NN}}}=200$ GeV. A strong azimuthal-angle dependence of the extracted Gaussian-source radii was observed with respect to both the 2$^{\rm nd}$- and 3$^{\rm rd}$-order event planes. The results for the 2$^{\rm nd}$-order dependence indicate that the initial eccentricity is reduced during the medium evolution, but not reversed in the final state, which is consistent with previous results. In contrast, the results for the 3$^{\rm rd}$-order dependence indicate that the initial triangular shape is significantly reduced and potentially reversed by the end of the medium evolution, and that the 3$^{\rm rd}$-order oscillations are largely dominated by the dynamical effects from triangular flow.

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The azimuthal dependence of $R^2_s$, $R^2_o$, $R^2_l$, and $R^2_{os}$ for charged pions in 0.2 < $k_T$ < 2.0 GeV/$c$ with respect to second-(a)-(d) and third-order (e)-(h) event plane in Au + Au collisions at $\sqrt{S_{NN}}$ 200 GeV.

The azimuthal dependence of $R^2_s$, $R^2_o$, $R^2_l$, and $R^2_{os}$ for charged pions in 0.2 < $k_T$ < 2.0 GeV/$c$ with respect to second-(a)-(d) and third-order (e)-(h) event plane in Au + Au collisions at $\sqrt{S_{NN}}$ 200 GeV.

The solid points are the oscillation amplitudes relative to the average of HBT radii for four different combinations (a) $2R^{2}_{s,n}/R^{2}_{s,0}$, (b) $2R^{2}_{os,n}/R^{2}_{s,0}$, (c) $2R^{2}_{o,n}/R^{2}_{o,0}$, and (d) $2R^{2}_{o,n}/R^{2}_{s,0}$ as a function of initial spatial anisotropy ($\varepsilon_{n}$), which are calculated using the Glauber model.

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Double Spin Asymmetry of Electrons from Heavy Flavor Decays in p+p Collisions at sqrt(s)=200 GeV

The PHENIX collaboration Adare, A. ; Afanasiev, S. ; Aidala, C. ; et al.
Phys.Rev.D 87 (2013) 012011, 2013.
Inspire Record 1185576 DOI 10.17182/hepdata.142146

We report on the first measurement of double-spin asymmetry, A_LL, of electrons from the decays of hadrons containing heavy flavor in longitudinally polarized p+p collisions at sqrt(s)=200 GeV for p_T= 0.5 to 3.0 GeV/c. The asymmetry was measured at mid-rapidity (|eta|<0.35) with the PHENIX detector at the Relativistic Heavy Ion Collider. The measured asymmetries are consistent with zero within the statistical errors. We obtained a constraint for the polarized gluon distribution in the proton of |Delta g/g(log{_10}x= -1.6^+0.5_-0.4, {mu}=m_T^c)|^2 < 0.033 (1 sigma), based on a leading-order perturbative-quantum-chromodynamics model, using the measured asymmetry.

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Invariant differential cross sections of electrons from heavy-flavor decays.

Double-spin asymmetry of the heavy flavor electron production.


Cross sections and double-helicity asymmetries of midrapidity inclusive charged hadrons in p+p collisions at sqrt(s)=62.4 GeV

The PHENIX collaboration Adare, A. ; Afanasiev, S. ; Aidala, C. ; et al.
Phys.Rev.D 86 (2012) 092006, 2012.
Inspire Record 1089402 DOI 10.17182/hepdata.142989

Unpolarized cross sections and double-helicity asymmetries of single-inclusive positive and negative charged hadrons at midrapidity from p+p collisions at sqrt(s)=62.4 GeV are presented. The PHENIX measurements for 1.0 < p_T < 4.5 GeV/c are consistent with perturbative QCD calculations at next-to-leading order in the strong coupling constant, alpha_s. Resummed pQCD calculations including terms with next-to-leading-log accuracy, yielding reduced theoretical uncertainties, also agree with the data. The double-helicity asymmetry, sensitive at leading order to the gluon polarization in a momentum-fraction range of 0.05 ~< x_gluon ~< 0.2, is consistent with recent global parameterizations disfavoring large gluon polarization.

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Cross section of midrapidity charged-hadron production from $p$ + $p$ collisions at $\sqrt{s}$ = 62.4 GeV as a function of $p_T$ for positive and negative hadrons.

Double-helicity asymmetries and the statistical uncertainties as a function of $p_T$ for positive and negative inclusive charged hadrons from $p$ + $p$ collisions at $\sqrt{s}$ = 62.4 GeV.


Deuteron and antideuteron production in Au + Au collisions at s(NN)**(1/2) = 200-GeV.

The PHENIX collaboration Adler, S.S. ; Afanasiev, S. ; Aidala, C. ; et al.
Phys.Rev.Lett. 94 (2005) 122302, 2005.
Inspire Record 651462 DOI 10.17182/hepdata.141740

The production of deuterons and antideuterons in the transverse momentum range 1.1 < p_T < 4.3 GeV/c at mid-rapidity in Au + Au collisions at sqrt(s_NN)=200 GeV has been studied by the PHENIX experiment at RHIC. A coalescence analysis comparing the deuteron and antideuteron spectra with those of protons and antiprotons, has been performed. The coalescence probability is equal for both deuterons and antideuterons and increases as a function of p_T, which is consistent with an expanding collision zone. Comparing (anti)proton yields p_bar/p = 0.73 +/- 0.01, with (anti)deuteron yields: d_bar/d = 0.47 +/- 0.03, we estimate that n_bar/n = 0.64 +/- 0.04.

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Corrected spectra for deuterons and anti-deuterons for different centralities are plotted vs $m_T$.

Corrected spectra for deuterons and anti-deuterons for different centralities are plotted vs $m_T$.

Coalescence parameter $B_2$ vs $p_T$ for deuterons (left panel) and anti-deuterons (right panel). Grey bands indicate the systematic errors. Values are plotted at the "true" mean value of $p_T$ of each bin, the extent of which is indicated by the width of the grey bars along x-axis.

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