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

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86 CHAPTER 5: Estimat<strong>in</strong>g <strong>of</strong> <strong>the</strong> <strong>Jet</strong> <strong>Energy</strong> <strong>Scale</strong> Calibration Factorjet is computed as <strong>the</strong> width <strong>of</strong> <strong>the</strong> Gaussian function fitted on <strong>the</strong> distribution <strong>of</strong> <strong>the</strong>difference between <strong>the</strong> value <strong>of</strong> <strong>the</strong> X parameter <strong>of</strong> <strong>the</strong> reconstructed jet and <strong>the</strong> value<strong>of</strong> <strong>the</strong> X parameter <strong>of</strong> <strong>the</strong> matched parton to that jet. The resolutions on <strong>the</strong> variousk<strong>in</strong>ematics <strong>of</strong> <strong>the</strong> jets, namely transverse energy E T , polar angle θ and azimuthal angleφ as a function <strong>of</strong> <strong>the</strong> transverse momentum <strong>of</strong> <strong>the</strong> jets are shown <strong>in</strong> Figure 5.10 andFigure 5.11, for <strong>the</strong> light quark and <strong>the</strong> b quark jets, respectively. In each figure, <strong>the</strong>left plots represent <strong>the</strong> typical jets reconstructed <strong>in</strong> <strong>the</strong> barrel while <strong>the</strong> right plots areobta<strong>in</strong>ed for typical jets reconstructed <strong>in</strong> a narrow region <strong>in</strong> <strong>the</strong> endcaps. The obta<strong>in</strong>edresolution plots are fitted with functions which are specified on <strong>the</strong> plot. For example,<strong>the</strong> distribution <strong>of</strong> <strong>the</strong> resolution on <strong>the</strong> transverse energy <strong>of</strong> <strong>the</strong> jets is fitted with afunction which is parametrized as a+b √ p T +cp T . The free parameters <strong>of</strong> <strong>the</strong> functionare determ<strong>in</strong>ed from <strong>the</strong> fit and quoted on each plot.From Figure 5.10, it can be seen that <strong>the</strong> absolute resolution on <strong>the</strong> transverseenergy for jets with higher transverse momenta is worse, while <strong>the</strong> relative resolutionis worse for <strong>the</strong> jets with lower transverse momenta, as discussed <strong>in</strong> Section 3.2.4. Alsoit can be deduced that <strong>the</strong> resolution on <strong>the</strong> angular distributions is better determ<strong>in</strong>edcompared to <strong>the</strong> resolution on <strong>the</strong> transverse energy. This is because <strong>of</strong> <strong>the</strong> match<strong>in</strong>grequirement applied between <strong>the</strong> reconstructed jets and <strong>the</strong> partons <strong>in</strong> (η × φ) space.The resolutions on <strong>the</strong> spatial coord<strong>in</strong>ates <strong>of</strong> <strong>the</strong> reconstructed jets are decreased forjets with higher transverse momenta, because <strong>the</strong> jets with higher transverse momentaare less affected by <strong>the</strong> magnetic field. The polar angle <strong>of</strong> reconstructed jets can bedeterm<strong>in</strong>ed with higher precision compared to <strong>the</strong> azimuthal angle. This is due to<strong>the</strong> bend<strong>in</strong>g <strong>of</strong> charged particle <strong>in</strong> <strong>the</strong> direction <strong>of</strong> φ. Compar<strong>in</strong>g with <strong>the</strong> plots <strong>in</strong>Figure 5.11, it can be understood that <strong>the</strong> resolution on <strong>the</strong> transverse energy <strong>of</strong> bquark jets is worse compared to <strong>the</strong> resolution on <strong>the</strong> transverse energy <strong>of</strong> light quarkjets. This is due to <strong>the</strong> presence <strong>of</strong> muons or neutr<strong>in</strong>os <strong>in</strong> <strong>the</strong> decay products <strong>of</strong> bquark jets which yields to cluster less energy for b quark jets as muons and neutr<strong>in</strong>osare weakly <strong>in</strong>teract<strong>in</strong>g particles. There is no big difference observed when compar<strong>in</strong>g<strong>the</strong> resolutions on <strong>the</strong> spatial k<strong>in</strong>ematics <strong>of</strong> b quark and non-b quark jets.5.3 Extra Event Selection CutsSo far, events have been required to pass <strong>the</strong> basic event selection cuts that are summarized<strong>in</strong> Table 4.6. The selected events are subsequently fed to <strong>the</strong> MVA package. Theoutput <strong>of</strong> <strong>the</strong> MVA method is a match<strong>in</strong>g between <strong>the</strong> reconstructed jets <strong>in</strong> <strong>the</strong> f<strong>in</strong>alstate <strong>of</strong> <strong>the</strong> e+jets t¯t event and <strong>the</strong> partons appear<strong>in</strong>g <strong>in</strong> <strong>the</strong> hadronic branch <strong>of</strong> <strong>the</strong> t¯tsystem t → Wb → q¯qb, as described <strong>in</strong> Section 5.1. The chosen jet-parton comb<strong>in</strong>ationreturned by <strong>the</strong> MVA method, can be ei<strong>the</strong>r right or wrong. As already mentioned, <strong>the</strong>MVA method which has been tra<strong>in</strong>ed us<strong>in</strong>g <strong>the</strong> variables listed <strong>in</strong> Section 5.1.4, is notable to choose <strong>the</strong> correct jet-parton match<strong>in</strong>g <strong>in</strong> about 50% <strong>of</strong> <strong>the</strong> cases. This is partlydue to <strong>the</strong> ISR/FSR effects which makes it possible to get <strong>the</strong> radiation jets among<strong>the</strong> four lead<strong>in</strong>g jets and <strong>the</strong>n at least one <strong>of</strong> <strong>the</strong> four lead<strong>in</strong>g jets can not be matchedto <strong>the</strong> hard-scatter partons. The e+jets t¯t events, for which a wrong jet comb<strong>in</strong>ationis recognized by <strong>the</strong> MVA or <strong>the</strong> event itself is badly reconstructed, contribute to <strong>the</strong>

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