For the 2005 Dijet cross-section measurement, I propose following method to determine the Jet Energy Scale Uncertainty and its effect on the cross-section. This method is based on that used for the 2005 inclusive jet A_LL and numbers are taken from the Analysis Note.

The uncertainty is calculated based on the assumption that fragmentation of the two jets occurs independently. The neutral and charged portion of each jet is treated separately based on the different factors can affect those portions of the jet.

Neutral Uncertainty (4.9%):

• BEMC Calibration Uncertainty (4.8%)
• BEMC Efficiency Uncertainty (1%)

Charged Uncertainty (5.59%):

• Track Momentum Scale (1%)
• Tracking Efficiency Uncertainty (5%)
• Hadron Response in BEMC (2.3%)

Using these uncertainties, I will vary the jet pT of each portion of each jet and check the trigger conditions again, then recalculate the yield in each bin. These variations will set the scale on the uncertainty of the yield due to the Jet Energy Scale Uncertainty.

The same variations will be done to GEANT jets to calculate the effect on the trigger efficiency and the invariant mass unfolding.

Results:

I went ahead and did this calculation. Below you can see the results (as a ratio with the actual data yield). The blue lines come from varying the charged portion of the jets up and down by 5.59%. The red lines are from varying the neutral portion by 4.9%.

Figure 1: Ratio with data yield of varied yields vs invariant mass (GeV)

For each bin, I can calculate the shift for each mode. Below are the total uncertainties for each bin.

Inv M  BEMC+  BEMC-  TPC+  TPC-  TOT+  TOT-
18.33  0.028  0.034  0.061 0.063 0.067 0.072
22.12  0.049  0.044  0.079 0.069 0.093 0.082
27.13  0.057  0.067  0.096 0.11  0.11  0.13
33.96  0.097  0.072  0.16  0.13  0.18  0.15
43.37  0.082  0.11   0.19  0.17  0.2   0.21
56.49  0.16   0.11   0.26  0.22  0.3   0.24
75.03  0.24   0.24   0.51  0.32  0.57  0.41

 Figure 2: Raw Yields with error band