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

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Chapter 5: Monte Carlo Simulation 157<br />

production <strong>cross</strong>-<strong>section</strong>s for W and Z <strong>boson</strong>s produced <strong>in</strong> hadronic collisions to<br />

NNLO accuracy <strong>in</strong> QCD. As mentioned <strong>in</strong> Chapter 1, FEWZ takes <strong>in</strong>to account<br />

quark masses, f<strong>in</strong>ite width effects, sp<strong>in</strong> correlations <strong>of</strong> <strong>boson</strong> decay products and<br />

γ − Z <strong>in</strong>terference <strong>in</strong> <strong>the</strong> case <strong>of</strong> Z <strong>boson</strong>s.<br />

We use FEWZ to derive <strong>the</strong> <strong>the</strong>oretical prediction for <strong>the</strong> Z → µµ <strong>cross</strong>-<strong>section</strong>,<br />

to which we compare <strong>the</strong> f<strong>in</strong>al result <strong>of</strong> our analysis. In addition, we normalize <strong>the</strong><br />

<strong>cross</strong>-<strong>section</strong>s <strong>of</strong> <strong>the</strong> Pythia-generated W and Z signal and background samples to<br />

<strong>the</strong> NNLO <strong>cross</strong>-<strong>section</strong>s <strong>of</strong> <strong>the</strong> correspond<strong>in</strong>g processes obta<strong>in</strong>ed from FEWZ. The<br />

MSTW2008NNLO PDF set was used with FEWZ.<br />

5.2.4 Monte Carlo samples used <strong>in</strong> this analysis<br />

Table 5.1 gives a summary <strong>of</strong> <strong>the</strong> Monte Carlo datasets used <strong>in</strong> our analysis,<br />

toge<strong>the</strong>r with <strong>the</strong> <strong>cross</strong>-<strong>section</strong>s and <strong>the</strong> number <strong>of</strong> events <strong>in</strong> each sample. For <strong>the</strong> b ¯ b<br />

and c¯c samples, <strong>the</strong> lead<strong>in</strong>g-order <strong>cross</strong>-<strong>section</strong>s from Pythia are used. The <strong>cross</strong>-<br />

<strong>section</strong>s <strong>of</strong> <strong>the</strong> W and Z samples are normalized to <strong>the</strong> correspond<strong>in</strong>g NNLO <strong>cross</strong>-<br />

<strong>section</strong> values obta<strong>in</strong>ed us<strong>in</strong>g FEWZ. The t¯t <strong>cross</strong>-<strong>section</strong> is taken from [71].<br />

5.2.5 The ATLAS detector simulation<br />

As discussed above, an accurate detector description is crucial for develop<strong>in</strong>g an<br />

analysis, and especially for optimiz<strong>in</strong>g <strong>the</strong> various selection criteria. The ATLAS<br />

detector simulation is based on <strong>the</strong> GEANT4 [60] simulation toolkit, which is used<br />

by a large number <strong>of</strong> projects <strong>in</strong> various doma<strong>in</strong>s. The ATLAS GEANT4 simulation<br />

conta<strong>in</strong>s over a million volumes <strong>in</strong>clud<strong>in</strong>g active and <strong>in</strong>active material.

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