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

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Chapter 5: Monte Carlo Simulation 154<br />

tronic signals from active volumes are simulated such that <strong>the</strong>y mimic <strong>the</strong> passage<br />

<strong>of</strong> real particles. From <strong>the</strong>se signals, <strong>the</strong> full event can <strong>the</strong>n be reconstructed <strong>in</strong> <strong>the</strong><br />

same way as for real events, as described <strong>in</strong> Chapter 4.<br />

By compar<strong>in</strong>g simulation results with <strong>the</strong> truth <strong>in</strong>formation, we can determ<strong>in</strong>e<br />

quantities such as <strong>the</strong> acceptance <strong>of</strong> <strong>the</strong> detector and <strong>the</strong> smear<strong>in</strong>g <strong>of</strong> k<strong>in</strong>ematic<br />

distributions due to f<strong>in</strong>ite detector resolution.<br />

5.2 Monte Carlo generators used <strong>in</strong> this analysis<br />

The Monte Carlo datasets we use for our analysis were generated <strong>in</strong> <strong>the</strong> A<strong>the</strong>na [18]<br />

framework us<strong>in</strong>g two programs: Pythia [92] and POWHEG [44]. In addition, we<br />

use <strong>the</strong> FEWZ [67] program to compute <strong>the</strong> <strong>the</strong>oretical prediction for <strong>the</strong> Z → µµ<br />

<strong>cross</strong>-<strong>section</strong> with which we compare our measurement. The ma<strong>in</strong> features <strong>of</strong> <strong>the</strong>se<br />

programs are briefly described <strong>in</strong> this <strong>section</strong>.<br />

5.2.1 Pythia<br />

Pythia evaluates process <strong>cross</strong>-<strong>section</strong>s by us<strong>in</strong>g matrix elements that are lead<strong>in</strong>g-<br />

order <strong>in</strong> QCD. For many processes, <strong>in</strong>clud<strong>in</strong>g <strong>the</strong> Z → µµ decay, it <strong>in</strong>cludes sp<strong>in</strong><br />

correlations <strong>of</strong> <strong>the</strong> decay products. Pythia uses <strong>the</strong> parton shower technique (see<br />

Chapter 1) to generate <strong>in</strong>itial- and f<strong>in</strong>al-state gluon radiation. The Pythia par-<br />

ton shower is accurate to lead<strong>in</strong>g-logarithm, and leads to semi-realistic model<strong>in</strong>g <strong>of</strong><br />

multipartonic f<strong>in</strong>al states.<br />

Pythia models <strong>the</strong> underly<strong>in</strong>g event by a set <strong>of</strong> separate 2 → 2 scatter<strong>in</strong>gs us<strong>in</strong>g<br />

lead<strong>in</strong>g-order matrix elements. Parton-parton <strong>in</strong>teractions occur down to qT =2

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