Extraction of QCD multi-jet fraction

Dans le document Search for a supersymmetric partner of the top quark in the one-lepton channel with the ATLAS detector (Page 175-193)

B | Data-driven QCD multi-jet esti- esti-mate

B.4 Extraction of QCD multi-jet fraction

Table B.4 summarises the observed counts and fractions of the QCD models for 1–3 failed bits. The last column shows the estimated QCD multi-jet fractions. Table B.5 shows the

fraction of real electron events picked up in the model building, estimated by applying the anti-electron method to simulated samples. The QCD multi-jet fractions corrected for this contribution is also shown. The real electron estimates are not affected by trigger prescales, but the per-process normalisation derived in the fit still needs to be applied.

Each model and each jet bin leads to a different prediction of the QCD fraction, but the correction brings the estimates of the different QCD models closer to each other.

The uncertainties in the table are based on the statistical uncertainties of the yields and the uncertainty of the fitted QCD normalisation. They are clearly optimistic in many cases. The nominal analysis requires four or more jets, and optionally one or moreb-tags.

Averaging over the three estimates available per jet bin, and increasing the uncertainty to also cover most of the estimated fractions of neighbouring jet bins, the following anti-electron QCD fractions are found:

• ě4 jets, nob-tag requirement: p7˘2q%

• ě4 jets, andb-tag requirement: p3.1˘1.4q%

For comparison we quote the results of thematrix method (MM; see e.g. [190], chapter 10.3), commonly used for QCD multi-jet estimates. At the time of the Moriond conference 2011, the following estimates were found for the electron channel of the semi-leptonictt¯ analysis using the MM:

• ě4 jets, nob-tag requirement: p5.5˘2.0q%

• ě4 jets, andb-tag requirement: p5.4˘5.9q%

The results are compatible. The anti-electron estimates have smaller uncertainties, and the effect of the b-tag requirement is more visible there.

jet bin data 2011

QCD model uncorrected

QCD fraction bits raw hPSi fit norm. weighted

ě1j, 0b 1669412 ě1 29489 110.0 0.0409˘0.0001 132590 7.94%˘ 0.05%

ě1j, 0b 1669412 ě2 14343 109.5 0.0882˘0.0003 138531 8.30%˘ 0.07%

ě1j, 0b 1669412 ě3 3792 108.1 0.3414˘0.0010 139908 8.38%˘ 0.14%

ě1j, 1b 121012 ě1 2441 92.8 0.0470˘0.0005 10652 8.80%˘ 0.20%

ě1j, 1b 121012 ě2 1147 94.8 0.1025˘0.0011 11151 9.21%˘ 0.29%

ě1j, 1b 121012 ě3 295 89.4 0.3982˘0.0041 10504 8.68%˘ 0.51%

ě2j, 0b 430108 ě1 14934 85.7 0.0333˘0.0002 42581 9.90%˘ 0.11%

ě2j, 0b 430108 ě2 7435 85.4 0.0725˘0.0005 46038 10.70%˘ 0.14%

ě2j, 0b 430108 ě3 1979 83.4 0.2753˘0.0019 45435 10.56%˘ 0.25%

ě2j, 1b 73931 ě1 1846 78.9 0.0417˘0.0008 6075 8.22%˘ 0.24%

ě2j, 1b 73931 ě2 846 79.3 0.0906˘0.0016 6079 8.22%˘ 0.32%

ě2j, 1b 73931 ě3 219 74.2 0.3201˘0.0058 5202 7.04%˘ 0.49%

ě2j, 2b 18502 ě1 232 67.2 0.0375˘0.0033 585 3.16%˘ 0.35%

ě2j, 2b 18502 ě2 90 61.3 0.0712˘0.0063 393 2.12%˘ 0.29%

ě2j, 2b 18502 ě3 25 73.9 0.3686˘0.0347 682 3.68%˘ 0.81%

ě3j, 0b 122577 ě1 6341 67.5 0.0247˘0.0004 10565 8.62%˘ 0.19%

ě3j, 0b 122577 ě2 3122 65.8 0.0535˘0.0009 10997 8.97%˘ 0.22%

ě3j, 0b 122577 ě3 806 65.9 0.1909˘0.0033 10141 8.27%˘ 0.33%

ě3j, 1b 42208 ě1 1027 64.5 0.0351˘0.0014 2324 5.50%˘ 0.27%

ě3j, 1b 42208 ě2 458 61.5 0.0793˘0.0031 2233 5.29%˘ 0.32%

ě3j, 1b 42208 ě3 117 61.8 0.2660˘0.0103 1925 4.56%˘ 0.46%

ě3j, 2b 15533 ě1 183 64.0 0.0334˘0.0050 392 2.52%˘ 0.42%

ě3j, 2b 15533 ě2 67 54.0 0.0741˘0.0105 269 1.73%˘ 0.32%

ě3j, 2b 15533 ě3 14 61.1 0.3059˘0.0475 262 1.69%˘ 0.52%

ě4j, 0b 40021 ě1 1885 66.5 0.0217˘0.0009 2724 6.81%˘ 0.33%

ě4j, 0b 40021 ě2 942 64.7 0.0478˘0.0021 2912 7.28%˘ 0.39%

ě4j, 0b 40021 ě3 229 72.7 0.1609˘0.0070 2679 6.69%˘ 0.53%

ě4j, 1b 21299 ě1 405 64.1 0.0303˘0.0028 787 3.69%˘ 0.38%

ě4j, 1b 21299 ě2 181 63.2 0.0647˘0.0060 740 3.47%˘ 0.41%

ě4j, 1b 21299 ě3 47 69.2 0.1874˘0.0176 610 2.86%˘ 0.50%

ě4j, 2b 9661 ě1 100 65.3 0.0322˘0.0081 211 2.17%˘ 0.59%

ě4j, 2b 9661 ě2 39 57.0 0.0559˘0.0157 125 1.28%˘ 0.42%

ě4j, 2b 9661 ě3 7 56.7 0.1294˘0.0657 52 0.53%˘ 0.34%

ě5j, 0b 12753 ě1 490 65.3 0.0258˘0.0023 826 6.48%˘ 0.66%

ě5j, 0b 12753 ě2 240 59.3 0.0563˘0.0051 802 6.28%˘ 0.71%

ě5j, 0b 12753 ě3 61 73.1 0.1310˘0.0126 585 4.58%˘ 0.73%

ě5j, 1b 8372 ě1 127 61.3 0.0301˘0.0053 235 2.80%˘ 0.55%

ě5j, 1b 8372 ě2 52 49.7 0.0619˘0.0111 160 1.91%˘ 0.43%

ě5j, 1b 8372 ě3 12 42.5 0.0857˘0.0223 44 0.52%˘ 0.20%

ě5j, 2b 4236 ě1 36 56.4 0.0262˘0.0216 54 1.25%˘ 1.06%

ě5j, 2b 4236 ě2 15 29.7 0.0960˘0.0774 43 1.01%˘ 0.85%

ě5j, 2b 4236 ě3 3 41.6 0.0941˘0.2427 12 0.28%˘ 0.73%

Table B.4: Observed events in 2011 data using the nominal selection, QCD yields and applied scales, and the QCD fraction without the correction for the real electron contri-bution.

jet bin data 2011

QCD model real electrons corrected QCD fraction bits weighted raw weighted

ě1j, 0b 1669412 ě1 132590 409825 10417.2˘31.9 7.32%˘ 0.06%

ě1j, 0b 1669412 ě2 138531 76079 4021.4˘20.8 8.06%˘ 0.08%

ě1j, 0b 1669412 ě3 139908 8363 1352.2˘19.5 8.30%˘ 0.14%

ě1j, 1b 121012 ě1 10652 109390 842.0˘ 6.7 8.11%˘ 0.21%

ě1j, 1b 121012 ě2 11151 19384 340.2˘ 5.2 8.93%˘ 0.29%

ě1j, 1b 121012 ě3 10504 2534 148.2˘ 5.4 8.56%˘ 0.51%

ě2j, 0b 430108 ě1 42581 230791 2214.6˘12.2 9.39%˘ 0.11%

ě2j, 0b 430108 ě2 46038 43832 956.0˘ 7.6 10.48%˘ 0.15%

ě2j, 0b 430108 ě3 45435 5125 343.8˘ 6.5 10.48%˘ 0.25%

ě2j, 1b 73931 ě1 6075 92883 477.6˘ 5.5 7.57%˘ 0.25%

ě2j, 1b 73931 ě2 6079 16753 198.5˘ 3.3 7.95%˘ 0.32%

ě2j, 1b 73931 ě3 5202 2237 79.0˘ 2.3 6.93%˘ 0.49%

ě2j, 2b 18502 ě1 585 32499 99.7˘ 6.8 2.62%˘ 0.38%

ě2j, 2b 18502 ě2 393 5745 33.2˘ 2.3 1.94%˘ 0.30%

ě2j, 2b 18502 ě3 682 824 24.8˘ 2.1 3.55%˘ 0.82%

ě3j, 0b 122577 ě1 10565 104179 492.6˘ 5.2 8.22%˘ 0.19%

ě3j, 0b 122577 ě2 10997 19932 208.5˘ 2.9 8.80%˘ 0.23%

ě3j, 0b 122577 ě3 10141 2636 87.1˘ 2.6 8.20%˘ 0.33%

ě3j, 1b 42208 ě1 2324 64308 227.0˘ 6.6 4.97%˘ 0.29%

ě3j, 1b 42208 ě2 2233 11868 93.6˘ 2.9 5.07%˘ 0.32%

ě3j, 1b 42208 ě3 1925 1680 42.7˘ 1.8 4.46%˘ 0.46%

ě3j, 2b 15533 ě1 392 27352 75.4˘ 9.6 2.04%˘ 0.45%

ě3j, 2b 15533 ě2 269 4884 29.7˘ 3.7 1.54%˘ 0.33%

ě3j, 2b 15533 ě3 262 723 18.3˘ 2.7 1.57%˘ 0.52%

ě4j, 0b 40021 ě1 2724 50321 138.5˘ 3.7 6.46%˘ 0.34%

ě4j, 0b 40021 ě2 2912 9687 57.2˘ 1.7 7.13%˘ 0.39%

ě4j, 0b 40021 ě3 2679 1420 25.7˘ 1.2 6.63%˘ 0.53%

ě4j, 1b 21299 ě1 787 38434 98.9˘ 7.5 3.23%˘ 0.41%

ě4j, 1b 21299 ě2 740 7251 38.5˘ 3.1 3.29%˘ 0.42%

ě4j, 1b 21299 ě3 610 1107 16.7˘ 1.5 2.79%˘ 0.50%

ě4j, 2b 9661 ě1 211 18626 45.4˘10.4 1.70%˘ 0.63%

ě4j, 2b 9661 ě2 125 3464 14.7˘ 3.8 1.13%˘ 0.42%

ě4j, 2b 9661 ě3 52 542 5.4˘ 2.6 0.48%˘ 0.34%

ě5j, 0b 12753 ě1 826 22098 52.6˘ 3.6 6.06%˘ 0.67%

ě5j, 0b 12753 ě2 802 4296 22.0˘ 1.6 6.11%˘ 0.71%

ě5j, 0b 12753 ě3 585 673 7.5˘ 0.7 4.52%˘ 0.73%

ě5j, 1b 8372 ě1 235 18491 38.7˘ 6.0 2.34%˘ 0.58%

ě5j, 1b 8372 ě2 160 3551 15.1˘ 2.4 1.73%˘ 0.44%

ě5j, 1b 8372 ě3 44 576 3.3˘ 0.8 0.48%˘ 0.20%

ě5j, 2b 4236 ě1 54 9789 16.6˘12.8 0.86%˘ 1.11%

ě5j, 2b 4236 ě2 43 1847 11.6˘ 8.7 0.74%˘ 0.89%

ě5j, 2b 4236 ě3 12 311 2.0˘ 4.8 0.23%˘ 0.74%

Table B.5: Estimates of the real electron fraction in the QCD models, and corrected QCD fractions per jet bin and model.

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