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

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96 CHAPTER 5: Estimat<strong>in</strong>g <strong>of</strong> <strong>the</strong> <strong>Jet</strong> <strong>Energy</strong> <strong>Scale</strong> Calibration Factorwhere <strong>the</strong> quoted uncerta<strong>in</strong>ties are <strong>the</strong> statistical uncerta<strong>in</strong>ties and correspond to <strong>the</strong>deviation <strong>of</strong> 1σ around <strong>the</strong> m<strong>in</strong>imum.The 5σ contour around <strong>the</strong> m<strong>in</strong>imum <strong>of</strong> <strong>the</strong> χ 2 (∆E l , ∆E b ) is obta<strong>in</strong>ed and shown<strong>in</strong> Figure 5.18. There is no significant correlation between light and b jet energycalibration factors observed.1.41.31.21.1∆E b10.90.80.70.60.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4∆E lFigure 5.18: The 5σ contour around <strong>the</strong> m<strong>in</strong>imum <strong>of</strong> <strong>the</strong> χ 2 (∆E l , ∆E b ). The plot isobta<strong>in</strong>ed for an <strong>in</strong>tegrated lum<strong>in</strong>osity <strong>of</strong> 100pb −1 .The quoted statistical uncerta<strong>in</strong>ties on <strong>the</strong> estimated jet energy corrections arecalculated us<strong>in</strong>g a number <strong>of</strong> events correspond<strong>in</strong>g to an <strong>in</strong>tegrated lum<strong>in</strong>osity <strong>of</strong> about9400pb −1 but are rescaled to an <strong>in</strong>tegrated lum<strong>in</strong>osity <strong>of</strong> 100pb −1 . Then <strong>the</strong> number<strong>of</strong> simulated events are <strong>in</strong>deed more than what is expected <strong>in</strong> 100pb −1 <strong>of</strong> accumulateddata. Therefore, <strong>the</strong> statistical uncerta<strong>in</strong>ties are actually less than what have beenquoted. The statistical uncerta<strong>in</strong>ties correspond<strong>in</strong>g to an <strong>in</strong>tegrated lum<strong>in</strong>osity <strong>of</strong>about 9400pb −1 are evaluated and reported as <strong>the</strong> uncerta<strong>in</strong>ties on <strong>the</strong> estimated lightand b jet energy corrections as followsand∆ε l est = −10.12 ± 0.13%,∆ε b est = −1.31 ± 0.20%.The various sources for <strong>the</strong> systematical uncerta<strong>in</strong>ties on <strong>the</strong> estimated results arediscussed <strong>in</strong> <strong>the</strong> Section 5.4.2.In a study based on <strong>the</strong> simulated data, <strong>the</strong> residual jet energy corrections can bedeterm<strong>in</strong>ded us<strong>in</strong>g <strong>the</strong> Monte Carlo truth <strong>in</strong>formation, too. A comparison between <strong>the</strong>expected residual corrections from Monte Carlo truth <strong>in</strong>formation and <strong>the</strong> estimatedresidual corrections derived from <strong>the</strong> k<strong>in</strong>ematic fit procedure, can <strong>the</strong>n demonstrate howwell <strong>the</strong> estimation method works. If <strong>the</strong> four-vectors <strong>of</strong> <strong>the</strong> partons can be accessedfrom <strong>the</strong> simulation <strong>in</strong>formation, <strong>the</strong> reconstructed jets can be matched to <strong>the</strong> partons

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