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Measurement of the Jet Energy Scale in the CMS experiment ... - IIHE

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CHAPTER 5: Estimat<strong>in</strong>g <strong>of</strong> <strong>the</strong> <strong>Jet</strong> <strong>Energy</strong> <strong>Scale</strong> Calibration Factor 105<strong>of</strong> <strong>the</strong> variation <strong>of</strong> <strong>the</strong> match<strong>in</strong>g threshold is <strong>in</strong>vestigated by runn<strong>in</strong>g <strong>the</strong> method <strong>of</strong>estimat<strong>in</strong>g <strong>the</strong> residual jet energy corrections on both simulated samples with <strong>the</strong>various sett<strong>in</strong>gs <strong>of</strong> <strong>the</strong> match<strong>in</strong>g thresholds and <strong>the</strong> nom<strong>in</strong>al sample which is simulatedwith <strong>the</strong> pre-def<strong>in</strong>ed sett<strong>in</strong>g <strong>of</strong> <strong>the</strong> match<strong>in</strong>g threshold. The results <strong>of</strong> <strong>the</strong> estimatedand <strong>the</strong> expected residual jet energy corrections with different sett<strong>in</strong>gs <strong>of</strong> <strong>the</strong> match<strong>in</strong>gthreshold are summarized <strong>in</strong> Table 5.11.∆ε expl(%) ∆ε estl(%) ∆ε estl− ∆ε expl(%)nom<strong>in</strong>al -9.38±0.25 -8.75±0.14 0.63±0.29match<strong>in</strong>g up -9.19±0.28 -9.31±0.16 -0.12±0.32match<strong>in</strong>g down -9.74±0.30 -9.37±0.17 0.37±0.34∆ε expb(%) ∆ε estb(%)∆ε estb− ∆ε expb(%)nom<strong>in</strong>al -2.66±0.36 -2.81±0.20 -0.15±0.41match<strong>in</strong>g up -3.07±0.41 -2.77±0.24 0.30±0.47match<strong>in</strong>g down -3.17±0.43 -2.57±0.25 0.60±0.50Table 5.11: The expected and estimated residual jet energy corrections and <strong>the</strong> biason <strong>the</strong> estimations for <strong>the</strong> samples with higher and lower threshold <strong>in</strong> <strong>the</strong> match<strong>in</strong>gprocedure.It is seen from <strong>the</strong> results shown <strong>in</strong> Table 5.11 that <strong>the</strong> effects <strong>of</strong> chang<strong>in</strong>g <strong>the</strong>match<strong>in</strong>g threshold on <strong>the</strong> f<strong>in</strong>al estimated results are m<strong>in</strong>or and <strong>the</strong> estimation follows<strong>the</strong> expected value s<strong>in</strong>ce <strong>the</strong> bias on <strong>the</strong> estimated results is compatible with zero.The systematical uncerta<strong>in</strong>ties that can be assigned due to <strong>the</strong> changes <strong>in</strong> <strong>the</strong> match<strong>in</strong>gthreshold can be evaluated as follows. The estimated light jet energy correctionchanges from -9.31%, correspond<strong>in</strong>g to <strong>the</strong> sample with larger match<strong>in</strong>g threshold, to-9.37%, which is obta<strong>in</strong>ed when consider<strong>in</strong>g <strong>the</strong> simulated sample with smaller value<strong>of</strong> <strong>the</strong> match<strong>in</strong>g threshold. Compared to <strong>the</strong> nom<strong>in</strong>al value which is -8.75%, <strong>the</strong> maximumdeviation <strong>of</strong> <strong>the</strong> estimated light jet energy correction is taken as <strong>the</strong> systematicuncerta<strong>in</strong>ty due to <strong>the</strong> changes <strong>in</strong> <strong>the</strong> match<strong>in</strong>g threshold, be<strong>in</strong>g 0.62%. In case <strong>of</strong>b jets, <strong>the</strong> maximum deviation would reach to 0.24% which is quoted as <strong>the</strong> systematicuncerta<strong>in</strong>ty on <strong>the</strong> estimated b jet energy correction due to <strong>the</strong> variation <strong>of</strong> <strong>the</strong>match<strong>in</strong>g threshold.Comb<strong>in</strong>ed SystematicsThe various systematic uncerta<strong>in</strong>ties on <strong>the</strong> estimated results <strong>of</strong> light and b jet energycorrections are summarized <strong>in</strong> Table 5.12. The total systematical uncerta<strong>in</strong>ty is calculatedas <strong>the</strong> square root <strong>of</strong> <strong>the</strong> sum <strong>of</strong> <strong>the</strong> squared uncerta<strong>in</strong>ties from <strong>the</strong> diversesources which are considered <strong>in</strong> <strong>the</strong> table.

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