RooUnfold SVD Weighted Simulation Statistics Problem: Resolution
Here I document the resolution to the RooUnfold statistics problem ...
Figure 1: This figure shows the cross section spectrum with the original errors (left) and the new errors (right).
Figure 2: This figure shows the (Data-Theory)/Theory ratio using the original errors (left) and the new errors (right). The theory compared to uses the CTEQ6M PDFs corrected for underlying event and hadronization.
Table 1: This table shows the errors on the cross section from the old version of RooUnfold and the new version of RooUnfold. It also shows the errors on the (Data-Theory)/Theory ratio calculated as in Bevington for the old and new versions of RooUnfold. I have also included the error on the theory calc.
| Bin | Old Error | New Error | Theory Error | Old Ratio Error | New Ratio Error |
| 1 | 0.00108904 | 0.018908 | 0.00216414 | 0.00419 | 0.0416753 |
| 2 | 0.000352358 | 0.00459823 | 0.000708885 | 0.00311391 | 0.0200577 |
| 3 | 0.000136603 | 0.00186387 | 0.000282774 | 0.00394697 | 0.024384 |
| 4 | 4.64305e-5 | 0.000597612 | 0.000159524 | 0.00674113 | 0.0253985 |
| 5 | 1.60429e-5 | 0.000164178 | 8.71664e-5 | 0.0118795 | 0.0254171 |
| 6 | 6.42709e-6 | 3.70097e-5 | 3.22778e-5 | 0.0159136 | 0.0230397 |
| 7 | 2.63655e-6 | 1.09376e-5 | 1.31996e-5 | 0.0226804 | 0.0278302 |
| 8 | 1.05672e-6 | 2.98707e-6 | 3.69321e-6 | 0.0225488 | 0.0271762 |
| 9 | 4.43569e-7 | 8.66223e-7 | 1.04174e-6 | 0.0329368 | 0.0378844 |
| 10 | 1.11355e-7 | 1.83996e-7 | 2.27441e-7 | 0.0476286 | 0.0529374 |
| 11 | 1.34739e-8 | 2.11688e-8 | 2.87299e-8 | 0.0720879 | 0.077437 |
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