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Measurement of the Z boson cross-section in - Harvard University ...

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Chapter 4: Data Collection and Event Reconstruction 118<br />

Figure 4.8 shows <strong>the</strong> various steps <strong>in</strong> jet reconstruction start<strong>in</strong>g from <strong>the</strong> two types<br />

<strong>of</strong> clusters. For slid<strong>in</strong>g w<strong>in</strong>dow clusters, <strong>the</strong> first step is a ‘resummation’ step. Because<br />

<strong>of</strong> cell signal fluctuations due to noise, some towers can end up with a net negative<br />

energy. The resummation step comb<strong>in</strong>es such towers with nearby positive-energy<br />

towers to ensure that all towers that are <strong>in</strong>put to jet f<strong>in</strong>d<strong>in</strong>g have physically mean<strong>in</strong>gful<br />

four-momenta. The output <strong>of</strong> <strong>the</strong> jet f<strong>in</strong>d<strong>in</strong>g algorithms are jets at <strong>the</strong> raw energy<br />

scale, which are <strong>the</strong>n calibrated with a cell-signal based weight<strong>in</strong>g function 13 . Fur<strong>the</strong>r<br />

corrections for pile-up, electronic noise and algorithm effects are applied <strong>in</strong> order to<br />

reproduce <strong>the</strong> hadron-level jet shape and energy. F<strong>in</strong>ally, all jets with pT < 7 GeV<br />

are discarded. Calibration to <strong>the</strong> <strong>in</strong>teraction-level parton requires fur<strong>the</strong>r corrections<br />

for <strong>the</strong> physics environment, and is usually done dur<strong>in</strong>g specific physics analyses.<br />

Topological clusters at <strong>the</strong> raw energy scale yield jets at <strong>the</strong> same scale, which<br />

are <strong>the</strong>n calibrated to <strong>the</strong> hadronic scale as before and <strong>the</strong> usual corrections applied<br />

to recover <strong>the</strong> particle-level jet. Clusters that have been locally calibrated to <strong>the</strong><br />

hadronic scale lead to jets at this scale, which have to be fur<strong>the</strong>r corrected for <strong>the</strong><br />

fact that local calibrations and correction factors have been derived from s<strong>in</strong>gle pion<br />

response [17]. After all corrections, jets with pT < 7 GeV are discarded as before.<br />

One powerful way to improve <strong>the</strong> energy resolution <strong>of</strong> jets is to match a calorimeter<br />

cluster with a charged <strong>in</strong>ner detector track po<strong>in</strong>t<strong>in</strong>g to it. If <strong>the</strong> track momentum<br />

resolution is better than <strong>the</strong> calorimeter energy resolution, <strong>the</strong> cluster ET is replaced<br />

with <strong>the</strong> track PT . This technique is known as energy flow reconstruction.<br />

13 In a non-compensat<strong>in</strong>g calorimeter, such as <strong>the</strong> ATLAS calorimeters, low cell signal densities<br />

<strong>in</strong>dicate energy deposition by charged hadrons. The observed energy can be calibrated to <strong>the</strong> actual<br />

hadronic energy by weight<strong>in</strong>g <strong>the</strong> cell signal with a factor <strong>of</strong> <strong>the</strong> order <strong>of</strong> <strong>the</strong> electron/pion signal<br />

ratio [101].

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