Run-11 Transverse Jets: R060 vs. R050

The final major question before achieving final results is whether or not to use R = 0.6 or R = 0.5. There are arguements for each. One of the biggest questions is the change in total uncertainties for the move to R = 0.5. To inform this question I have performed inclusive-jet and Collins-like analyses for both radii and post below the comparison of results.

Changes For This Iteration

I have implemented a few changes for this iteration of the analysis. First, I found a mistake in how I was estimating the angular resolution. I was not taking the RMS for δφ over the full range; and, thus, the dilution was underestimated. This has been fixed. Second, I estimate the pion contamination, strictly, from the bin-by-bin fits to the nσ(π) distribution. This is not applied as a correction, but the difference from the nominal and dilution-correction is assigned as a systematic. For the preliminary result I had looked into simulation, where the values were considerably worse. I believe this to be a bug, but to be conservative I assigned the systematic assuming the dilutions from simulation. I will investigate this further, but I think the current values are good enough for the present purpose. Third, I relaxed some cuts following the procedure outlined on a recent blog entry. Finally, I switched to the event-by-event polarization correction technique as outlined in the CNI documentation. Previously, I did a fill-by-fill polarization correction using the average polarizations for each fill, as given by the CNI group.

Table 1: Inclusive Jet Asymmetry for η > 0

pT BIN [GeV/c] AUT (R050) σ(AUT) STAT (R050) σ(AUT) TOT (R050) AUT (R060) σ(AUT) STAT (R060) σ(AUT) TOT (R060) σ(R050) TOT/σ(R060) TOT
6-7.1 -2.07E-03 5.29E-03 5.37E-03 5.03E-03 4.05E-03 5.28E-03 1.02E+00
7.1-8.4 -2.16E-03 2.97E-03 3.08E-03 1.06E-03 2.77E-03 2.83E-03 1.09E+00
8.4-9.9 8.48E-03 3.22E-03 3.53E-03 1.37E-03 2.88E-03 2.91E-03 1.22E+00
9.9-11.7 6.15E-03 2.59E-03 3.44E-03 4.87E-03 2.44E-03 2.51E-03 1.37E+00
11.7-13.8 4.65E-03 2.83E-03 2.83E-03 5.41E-03 2.60E-03 3.61E-03 7.84E-01
13.8-16.3 -5.40E-03 3.22E-03 3.22E-03 -3.07E-03 2.97E-03 2.97E-03 1.09E+00
16.3-19.2 -3.69E-03 1.92E-03 1.92E-03 -3.68E-03 1.87E-03 1.87E-03 1.03E+00
19.2-22.7 2.09E-03 1.99E-03 1.99E-03 2.22E-03 1.89E-03 1.89E-03 1.05E+00
22.7-26.8 5.79E-04 2.33E-03 2.33E-03 1.06E-03 2.20E-03 2.20E-03 1.06E+00
26.8-31.6 -4.83E-04 2.99E-03 2.99E-03 -1.28E-03 2.81E-03 2.81E-03 1.06E+00
31.6-37.3 3.39E-03 4.22E-03 4.22E-03 6.38E-03 3.89E-03 3.89E-03 1.08E+00
37.3-45 4.16E-03 6.07E-03 6.07E-03 -4.36E-04 5.64E-03 5.64E-03 1.08E+00
45-55 1.04E-03 1.05E-02 1.05E-02 2.85E-03 9.75E-03 9.75E-03 1.07E+00

So, the switch to R = 0.5 results in anywhere from 2-37% increase in total uncertainties, according to the current estimates. As expected, the effect is largest at low-pT. In one bin (11.7-13.8 GeV/c), the total uncertainty actually decreases, however, this appears to be due to a fluctuation in the matching probabilities in the R = 0.6 sample. The same feature only in the R = 0.5 sample appears to account for the 37% incrase in the 9.9-11.7 GeV/c bin. These can be smoothed out for the paper.

Table 2: Collins-like Asymmetry for π+ at η > 0 and the Low pT-Range

z BIN AUT (R050) σ(AUT) STAT (R050) σ(AUT) TOT (R050) AUT (R060) σ(AUT) STAT (R060) σ(AUT) TOT (R060) σ(R050) TOT/σ(R060) TOT
0.1-0.2 3.09E-03 2.89E-03 2.99E-03 1.06E-03 2.72E-03 2.75E-03 1.09
0.2-0.3 -4.70E-03 5.54E-03 5.68E-03 -4.67E-03 6.07E-03 6.13E-03 0.928
0.3-0.4 1.31E-02 1.00E-02 1.02E-02 4.16E-03 9.16E-03 9.28E-03 1.09
0.4-0.5 -1.57E-02 1.90E-02 1.93E-02 -4.64E-02 1.89E-02 2.00E-02 0.969
0.5-0.8 2.88E-02 3.58E-02 3.66E-02 -4.67E-02 3.03E-02 3.09E-02 1.18

For Collins-like, the switch to R = 0.5 results in less significant changes, anywhere from an 18% increase to a 7% gain in total uncertainties, according to the current estimates.

Table 3: Resolution and Matching for Inclusive Jet Asymmetries

BIN Res. Dilution (R050) Matching Frac. (R050) Err. from Matching (R050) Total Uncert. (R050) Res. Dilution (R060) Matching Frac. (R060) Err. from Matching (R060) Total Uncert. (R060) Uncert. Ratio (R050/R060)
1 94.90% 79.48% 5.37E-04 5.35E-03 96.26% 70.46% 2.10E-03 4.55E-03 1.18
2 96.83% 74.23% 7.40E-04 3.05E-03 96.67% 71.65% 4.86E-04 2.78E-03 1.10
3 95.85% 82.80% 1.79E-03 3.73E-03 98.59% 78.57% 3.60E-04 2.89E-03 1.29
4 97.99% 77.05% 1.85E-03 3.19E-03 97.73% 92.62% 3.90E-04 2.46E-03 1.29
5 96.47% 99.79% 9.83E-06 2.86E-03 96.69% 99.74% 1.41E-05 2.62E-03 1.09
6 97.57% 99.81% 1.02E-05 3.25E-03 93.77% 99.90% 3.26E-06 3.07E-03 1.06
7 99.15% 99.79% 7.86E-06 1.92E-03 98.67% 99.67% 1.22E-05 1.88E-03 1.02
8 98.39% 99.94% 1.25E-06 2.00E-03 99.53% 99.93% 1.62E-06 1.89E-03 1.06
9 99.19% 99.97% 1.70E-07 2.33E-03 98.48% 99.96% 3.84E-07 2.21E-03 1.06
10 99.38% 99.89% 4.86E-07 2.99E-03 97.44% 99.82% 2.31E-06 2.85E-03 1.05
11 98.13% 99.98% 5.21E-07 4.22E-03 99.62% 99.98% 1.11E-06 3.86E-03 1.09
12 99.07% 99.98% 6.70E-07 6.08E-03 99.32% 99.98% 6.27E-08 5.63E-03 1.08
13 99.37% 99.99% 1.13E-07 1.05E-02 98.93% 99.99% 3.40E-07 9.78E-03 1.07

Table 4: Resolution, Matching, and Contamination for Collins-like Asymmetries

BIN Res. Dilut. (R050) Match. Frac. (R050) Err. from Match. (R050) Pion Frac. (R050) Err. from Contam. (R050) Total Uncert. (R050) Res. Dilut. (R060) Match. Frac. (R060) Err. from Match. (R050) Pion Frac. (R060) Err. from Contam. (R060) Total Uncert. (R060) Uncert. Ratio (R050/R060)
2 75.86% 80.27% 7.59E-04 97.08% 8.71E-05 2.99E-03 69.73% 71.98% 4.13E-04 96.62% 9.51E-05 2.75E-03 1.09
3 71.03% 80.39% 1.15E-03 91.48% 5.16E-04 5.68E-03 58.75% 89.14% 5.69E-04 91.50% 5.64E-04 6.13E-03 9.28E-01
4 70.69% 93.60% 8.97E-04 87.81% 1.39E-03 1.02E-02 71.13% 89.00% 5.14E-04 86.94% 1.38E-03 9.28E-03 1.09
5 66.60% 92.29% 1.31E-03 85.81% 3.15E-03 1.93E-02 60.90% 89.01% 5.73E-03 87.86% 2.62E-03 2.00E-02 9.69E-01
6 58.94% 97.28% 8.07E-04 83.25% 7.21E-03 3.66E-02 59.64% 99.76% 1.12E-04 83.12% 6.15E-03 3.09E-02 1.18