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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 |
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