Measurement of the cross section and longitudinal double-spin asymmetry for di-jet production in polarized pp collisions at SQRT(s) = 200 GeV

Data Tables


Table I: (Figure 1a in paper) Comparison of di-jet yields in data and simulation as a function of di-jet invariant mass with statistical errors. The data and simulation have been normalized by the same arbitrary factor.

Di-jet Mass N (Data) N (Simulation) Data / Simulation
17.5 0.3699 +- 0.0004 0.3856 +- 0.0086 0.959 +- 0.021
21.0 0.6128 +- 0.0005 0.6253 +- 0.0074 0.980 +- 0.012
25.5 0.4903 +- 0.0004 0.4810 +- 0.0048 1.020 +- 0.010
31.0 0.2656 +- 0.0003 0.2615 +- 0.0048 1.015 +- 0.019
37.5 0.1135 +- 0.0002 0.1068 +- 0.0015 1.063 +- 0.015
45.0 0.0416 +- 0.0001 0.0363 +- 0.0006 1.145 +- 0.018
53.5 0.0137 +- 0.0001 0.0118 +- 0.0002 1.160 +- 0.023
63.5 0.0043 +- 0.0000 0.0036 +- 0.0001 1.201 +- 0.025
75.5 0.0010 +- 0.0000 0.0008 +- 0.0000 1.187 +- 0.037
91.0 0.0002 +- 0.0000 0.0001 +- 0.0000 1.250 +- 0.067

Table II: (Figure 1b in paper) Comparison of di-jet yields in data and simulation as a function of the difference in jet pseudorapidity with statistical errors. The data and simulation have been normalized by the same arbitrary factor.

Di-jet Delta_Eta N (Data) N (Simulation)
-1.4 0.0040 +- 0.0001 0.0033 +- 0.0006
-1.2 0.0924 +- 0.0003 0.0885 +- 0.0038
-1.0 0.2335 +- 0.0004 0.2403 +- 0.0071
-0.7 0.3557 +- 0.0005 0.3456 +- 0.0070
-0.5 0.4643 +- 0.0006 0.4769 +- 0.0095
-0.2 0.5716 +- 0.0007 0.5760 +- 0.0112
-0.0 0.6648 +- 0.0007 0.6834 +- 0.0139
0.2 0.5730 +- 0.0007 0.5752 +- 0.0100
0.5 0.4553 +- 0.0006 0.4645 +- 0.0104
0.7 0.3448 +- 0.0005 0.3169 +- 0.0067
1.0 0.2305 +- 0.0004 0.2261 +- 0.0066
1.2 0.0978 +- 0.0003 0.0916 +- 0.0045
1.4 0.0046 +- 0.0001 0.0040 +- 0.0007

Table III: (Figure 1c in paper) Comparison of di-jet yields in data and simulation as a function of the difference in jet azimuth with statistical errors. The data and simulation have been normalized by the same arbitrary factor.

Di-jet Delta_Eta N (Data) N (Simulation)
0.1 0.0034 +- 0.0001 0.0019 +- 0.0004
0.4 0.0053 +- 0.0001 0.0045 +- 0.0014
0.6 0.0145 +- 0.0001 0.0106 +- 0.0019
0.9 0.0190 +- 0.0001 0.0133 +- 0.0017
1.1 0.0137 +- 0.0001 0.0114 +- 0.0015
1.4 0.0128 +- 0.0001 0.0090 +- 0.0010
1.6 0.0162 +- 0.0001 0.0137 +- 0.0042
1.9 0.0261 +- 0.0001 0.0175 +- 0.0022
2.1 0.0511 +- 0.0002 0.0444 +- 0.0042
2.4 0.1179 +- 0.0003 0.1190 +- 0.0059
2.6 0.3098 +- 0.0005 0.3205 +- 0.0092
2.9 0.8431 +- 0.0008 0.8687 +- 0.0123
3.1 1.4769 +- 0.0011 1.5025 +- 0.0175
3.4 0.8403 +- 0.0008 0.8589 +- 0.0118
3.6 0.3098 +- 0.0005 0.3157 +- 0.0101
3.9 0.1182 +- 0.0003 0.1038 +- 0.0049
4.1 0.0514 +- 0.0002 0.0424 +- 0.0034
4.4 0.0260 +- 0.0001 0.0233 +- 0.0032
4.6 0.0161 +- 0.0001 0.0090 +- 0.0010
4.9 0.0130 +- 0.0001 0.0087 +- 0.0010
5.2 0.0139 +- 0.0001 0.0111 +- 0.0014
5.4 0.0190 +- 0.0001 0.0155 +- 0.0024
5.7 0.0145 +- 0.0001 0.0093 +- 0.0015
5.9 0.0053 +- 0.0001 0.0044 +- 0.0008
6.2 0.0035 +- 0.0001 0.0017 +- 0.0004

Table IV: (Figure 2 in paper) Di-jet cross section (d^3sigma/dEta1*dEta2*dM) in microbarn corrected to particle-level. Data values are given with statistical and systematic error. NLO theory prediction from de Florian et al using the CT10 PDF set was corrected for underlying event and hadronization effects (UEH). Systematic uncertainties are shown seperately for UEH correction and the quadrature sum of UEH and theoretical prediction. Systematics for both the UEH and theory took into account scale and PDF uncertainties.

Di-jet Mass [GeV] Sigma [ub] (Data) Sigma [ub] (Theory)
19.0 - 23.0 (1.188 +- 0.026(stat) +0.067,-0.071(sys))*10^-1 (1.570 +0.610,-0.228(sys UEH) +0.679,-0.386(sys Total))*10^-1
23.0 - 28.0 (4.105 +- 0.096(stat) +0.242,-0.261(sys))*10^-2 (5.096 +1.087,-0.605(sys UEH) +1.417,-1.173(sys Total))*10^-2
28.0 - 34.0 (1.320 +- 0.030(stat) +0.135,-0.146(sys))*10^-2 (1.549 +0.247,-0.154(sys UEH) +0.404,-0.358(sys Total))*10^-2
34.0 - 41.0 (3.923 +- 0.080(stat) +0.451,-0.484(sys))*10^-3 (4.693 +0.511,-0.413(sys UEH) +1.127,-1.116(sys Total))*10^-3
41.0 - 49.0 (1.267 +- 0.020(stat) +0.150,-0.160(sys))*10^-3 (1.371 +0.137,-0.096(sys UEH) +0.338,-0.327(sys Total))*10^-3
49.0 - 58.0 (4.004 +- 0.060(stat) +0.583,-0.618(sys))*10^-4 (3.974 +0.380,-0.234(sys UEH) +1.062,-0.993(sys Total))*10^-4
58.0 - 69.0 (1.099 +- 0.017(stat) +0.192,-0.204(sys))*10^-4 (1.088 +0.101,-0.068(sys UEH) +0.322,-0.291(sys Total))*10^-4
69.0 - 82.0 (2.578 +- 0.048(stat) +0.525,-0.557(sys))*10^-5 (2.385 +0.205,-0.095(sys UEH) +0.816,-0.674(sys Total))*10^-5
82.0 - 100.0 (4.276 +- 0.101(stat) +0.959,-1.022(sys))*10^-6 (3.826 +0.296,-0.164(sys UEH) +1.659,-1.204(sys Total))*10^-6

Table V: (Figure 3 top panel in paper) Gluon X_1 and X_2 distributions for di-jet events with invariant masses between 19 and 23 GeV for the same-sign topology. Also given is the gluon X distribution for inclusive jets with transverse momenta between 8.4 and 11.7 GeV. X_1 and X_2 values both scaled by an arbitrary amount while inclusive jet curve scaled by an additional factor of 20.

Gluon Momentum Fraction Di-jet X_1 Di-jet X_2 Inclusive-jet X
0.012 0.000 0.000 0.048
0.016 0.000 0.000 0.109
0.022 0.000 0.014 0.192
0.030 0.000 0.032 0.317
0.040 0.020 0.166 0.501
0.055 0.000 0.506 0.618
0.074 0.100 0.934 0.687
0.101 0.298 0.696 0.634
0.138 0.647 0.177 0.488
0.187 0.653 0.024 0.292
0.254 0.218 0.009 0.133
0.345 0.033 0.002 0.053
0.470 0.005 0.000 0.013
0.638 0.000 0.000 0.001
0.868 0.000 0.000 0.000

Table VI: (Figure 3 bottom panel in paper) Gluon X_1 and X_2 distributions for di-jet events with invariant masses between 19 and 23 GeV for the opposite-sign topology. Also given is the gluon X distribution for inclusive jets with transverse momenta between 8.4 and 11.7 GeV. X_1 and X_2 values both scaled by an arbitrary amount while inclusive jet curve scaled by an additional factor of 20.

Gluon Momentum Fraction Di-jet X_1 Di-jet X_2 Inclusive-jet X
0.012 0.000 0.000 0.048
0.016 0.000 0.005 0.109
0.022 0.004 0.005 0.192
0.030 0.020 0.013 0.317
0.040 0.036 0.041 0.501
0.055 0.110 0.096 0.618
0.074 0.320 0.338 0.687
0.101 0.696 0.728 0.634
0.138 0.632 0.618 0.488
0.187 0.218 0.222 0.292
0.254 0.033 0.038 0.133
0.345 0.004 0.007 0.053
0.470 0.002 0.001 0.013
0.638 0.000 0.000 0.001
0.868 0.000 0.000 0.000

Table VII: (Figure 4 top panel in paper) Di-jet A_LL Vs invariant mass corrected to the parton level for the same-sign topology. The systematic uncertainty on the mass includes contributions from the jet energy scale, mass shift to parton level, and difference between PYTHIA and NLO cross sections. The systematic uncertainty on the A_LL value includes contributions from the trigger and reconstruction bias and the residual transverse beam polarization.

Bin Parton-Level Mass [GeV/c^2] A_LL
1 17.70 +- 0.56(sys) 0.0067 +- 0.0034(stat) +- 0.0004(sys)
2 21.34 +- 1.07(sys) 0.0088 +- 0.0032(stat) +- 0.0005(sys)
3 26.02 +- 1.33(sys) 0.0162 +- 0.0039(stat) +- 0.0006(sys)
4 31.66 +- 1.39(sys) 0.0024 +- 0.0056(stat) +- 0.0010(sys)
5 38.25 +- 1.79(sys) 0.0130 +- 0.0089(stat) +- 0.0015(sys)
6 48.28 +- 2.17(sys) 0.0336 +- 0.0133(stat) +- 0.0024(sys)
7 66.65 +- 2.56(sys) 0.0755 +- 0.0460(stat) +- 0.0041(sys)

Table VIII: (Figure 4 top panel in paper) Values of the theoretical expectations for the same-sign topology using the DSSV14 and NNPDFpol1.1 polarized PDF sets. An uncertainty band is calculated for the NNPDFpol1.1 set only and contains contributions from scale and PDF uncertainties.

Di-jet Mass [GeV/c^2] A_LL (DSSV14) A_LL (NNPDFpol1.1)
17.00 0.0037 0.0031 +0.0005,-0.0005(sys Scale) +0.0017,-0.0015(sys PDF)
19.00 0.0039 0.0032 +0.0007,-0.0007(sys Scale) +0.0018,-0.0016(sys PDF)
21.00 0.0050 0.0040 +0.0008,-0.0008(sys Scale) +0.0020,-0.0017(sys PDF)
23.00 0.0062 0.0049 +0.0009,-0.0010(sys Scale) +0.0022,-0.0018(sys PDF)
25.00 0.0075 0.0058 +0.0010,-0.0011(sys Scale) +0.0025,-0.0019(sys PDF)
27.00 0.0089 0.0068 +0.0011,-0.0013(sys Scale) +0.0028,-0.0021(sys PDF)
29.00 0.0103 0.0078 +0.0012,-0.0015(sys Scale) +0.0032,-0.0022(sys PDF)
31.00 0.0119 0.0088 +0.0013,-0.0016(sys Scale) +0.0034,-0.0025(sys PDF)
33.00 0.0135 0.0099 +0.0013,-0.0017(sys Scale) +0.0036,-0.0029(sys PDF)
35.00 0.0151 0.0109 +0.0014,-0.0018(sys Scale) +0.0040,-0.0032(sys PDF)
37.00 0.0168 0.0121 +0.0014,-0.0021(sys Scale) +0.0043,-0.0035(sys PDF)
39.00 0.0185 0.0131 +0.0016,-0.0021(sys Scale) +0.0047,-0.0039(sys PDF)
41.00 0.0202 0.0142 +0.0016,-0.0022(sys Scale) +0.0053,-0.0043(sys PDF)
43.00 0.0220 0.0155 +0.0015,-0.0023(sys Scale) +0.0058,-0.0047(sys PDF)
45.00 0.0238 0.0166 +0.0015,-0.0024(sys Scale) +0.0065,-0.0049(sys PDF)
47.00 0.0256 0.0176 +0.0017,-0.0024(sys Scale) +0.0073,-0.0052(sys PDF)
49.00 0.0274 0.0189 +0.0017,-0.0025(sys Scale) +0.0079,-0.0056(sys PDF)
51.00 0.0293 0.0201 +0.0016,-0.0026(sys Scale) +0.0085,-0.0061(sys PDF)
53.00 0.0311 0.0214 +0.0015,-0.0027(sys Scale) +0.0090,-0.0067(sys PDF)
55.00 0.0329 0.0226 +0.0017,-0.0026(sys Scale) +0.0098,-0.0071(sys PDF)
57.00 0.0348 0.0240 +0.0017,-0.0031(sys Scale) +0.0102,-0.0079(sys PDF)
59.00 0.0367 0.0253 +0.0016,-0.0027(sys Scale) +0.0109,-0.0085(sys PDF)
61.00 0.0387 0.0266 +0.0017,-0.0029(sys Scale) +0.0116,-0.0091(sys PDF)
63.00 0.0406 0.0282 +0.0013,-0.0030(sys Scale) +0.0125,-0.0097(sys PDF)
65.00 0.0424 0.0296 +0.0018,-0.0029(sys Scale) +0.0134,-0.0102(sys PDF)
67.00 0.0445 0.0312 +0.0014,-0.0028(sys Scale) +0.0139,-0.0112(sys PDF)
69.00 0.0465 0.0327 +0.0020,-0.0030(sys Scale) +0.0148,-0.0119(sys PDF)
71.00 0.0484 0.0344 +0.0015,-0.0030(sys Scale) +0.0162,-0.0123(sys PDF)
73.00 0.0506 0.0365 +0.0011,-0.0035(sys Scale) +0.0170,-0.0133(sys PDF)
75.00 0.0522 0.0381 +0.0016,-0.0032(sys Scale) +0.0180,-0.0140(sys PDF)

Table IX: (Figure 4 bottom panel in paper) Di-jet A_LL Vs invariant mass corrected to the parton level for the opposite-sign topology. The systematic uncertainty on the mass includes contributions from the jet energy scale, mass shift to parton level, and difference between PYTHIA and NLO cross sections. The systematic uncertainty on the A_LL value includes contributions from the trigger and reconstruction bias and the residual transverse beam polarization.

Bin Parton-Level Mass [GeV/c^2] A_LL
8 17.99 +- 0.54(sys) 0.0059 +- 0.0039(stat) +- 0.0005(sys)
9 21.58 +- 0.96(sys) 0.0096 +- 0.0032(stat) +- 0.0006(sys)
10 26.29 +- 1.32(sys) 0.0068 +- 0.0037(stat) +- 0.0007(sys)
11 31.72 +- 1.72(sys) 0.0151 +- 0.0050(stat) +- 0.0009(sys)
12 38.38 +- 1.70(sys) 0.0083 +- 0.0077(stat) +- 0.0013(sys)
13 48.79 +- 2.07(sys) 0.0092 +- 0.0109(stat) +- 0.0022(sys)
14 67.32 +- 3.35(sys) -0.0282 +- 0.0340(stat) +- 0.0036(sys)

Table X: (Figure 4 bottom panel in paper) Values of the theoretical expectations for the opposite-sign topology using the DSSV14 and NNPDFpol1.1 polarized PDF sets. An uncertainty band is calculated for the NNPDFpol1.1 set only and contains contributions from scale and PDF uncertainties.

Di-jet Mass [GeV/c^2] A_LL (DSSV14) A_LL (NNPDFpol1.1)
17.00 0.0045 0.0038 +0.0005,-0.0005(sys Scale) +0.0017,-0.0014(sys PDF)
19.00 0.0036 0.0030 +0.0005,-0.0005(sys Scale) +0.0015,-0.0012(sys PDF)
21.00 0.0039 0.0031 +0.0006,-0.0006(sys Scale) +0.0016,-0.0013(sys PDF)
23.00 0.0048 0.0038 +0.0007,-0.0007(sys Scale) +0.0018,-0.0014(sys PDF)
25.00 0.0058 0.0046 +0.0008,-0.0008(sys Scale) +0.0021,-0.0014(sys PDF)
27.00 0.0069 0.0053 +0.0008,-0.0009(sys Scale) +0.0024,-0.0016(sys PDF)
29.00 0.0081 0.0061 +0.0009,-0.0010(sys Scale) +0.0026,-0.0018(sys PDF)
31.00 0.0093 0.0070 +0.0009,-0.0011(sys Scale) +0.0029,-0.0021(sys PDF)
33.00 0.0106 0.0078 +0.0010,-0.0012(sys Scale) +0.0033,-0.0023(sys PDF)
35.00 0.0119 0.0087 +0.0009,-0.0013(sys Scale) +0.0035,-0.0027(sys PDF)
37.00 0.0133 0.0096 +0.0010,-0.0013(sys Scale) +0.0039,-0.0030(sys PDF)
39.00 0.0147 0.0104 +0.0010,-0.0014(sys Scale) +0.0044,-0.0033(sys PDF)
41.00 0.0161 0.0112 +0.0011,-0.0014(sys Scale) +0.0049,-0.0036(sys PDF)
43.00 0.0174 0.0120 +0.0011,-0.0015(sys Scale) +0.0053,-0.0039(sys PDF)
45.00 0.0188 0.0128 +0.0011,-0.0016(sys Scale) +0.0058,-0.0043(sys PDF)
47.00 0.0202 0.0137 +0.0009,-0.0016(sys Scale) +0.0062,-0.0047(sys PDF)
49.00 0.0216 0.0143 +0.0011,-0.0014(sys Scale) +0.0069,-0.0049(sys PDF)
51.00 0.0230 0.0152 +0.0009,-0.0018(sys Scale) +0.0076,-0.0052(sys PDF)
53.00 0.0244 0.0160 +0.0010,-0.0016(sys Scale) +0.0080,-0.0057(sys PDF)
55.00 0.0256 0.0168 +0.0009,-0.0017(sys Scale) +0.0084,-0.0060(sys PDF)
57.00 0.0270 0.0176 +0.0009,-0.0016(sys Scale) +0.0090,-0.0064(sys PDF)
59.00 0.0282 0.0182 +0.0008,-0.0015(sys Scale) +0.0096,-0.0066(sys PDF)
61.00 0.0295 0.0190 +0.0008,-0.0016(sys Scale) +0.0099,-0.0072(sys PDF)
63.00 0.0306 0.0200 +0.0006,-0.0017(sys Scale) +0.0102,-0.0077(sys PDF)
65.00 0.0319 0.0205 +0.0010,-0.0017(sys Scale) +0.0108,-0.0080(sys PDF)
67.00 0.0331 0.0211 +0.0010,-0.0015(sys Scale) +0.0112,-0.0082(sys PDF)
69.00 0.0343 0.0223 +0.0007,-0.0015(sys Scale) +0.0117,-0.0088(sys PDF)
71.00 0.0354 0.0232 +0.0005,-0.0021(sys Scale) +0.0124,-0.0090(sys PDF)
73.00 0.0366 0.0240 +0.0007,-0.0017(sys Scale) +0.0128,-0.0094(sys PDF)
75.00 0.0377 0.0250 +0.0007,-0.0018(sys Scale) +0.0131,-0.0100(sys PDF)