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

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Chapter 6: Event Selection 200<br />

Figure 6.19: pT distribution <strong>of</strong> Z decay muons <strong>in</strong> Monte Carlo without smear<strong>in</strong>g<br />

(po<strong>in</strong>ts) and with additional smear<strong>in</strong>g (l<strong>in</strong>e).<br />

6.2.6 Isolation cut efficiency for Z → µµ events<br />

We study <strong>the</strong> efficiency <strong>of</strong> <strong>the</strong> isolation cut on Z decay muons us<strong>in</strong>g a tag-probe<br />

approach similar to that used to determ<strong>in</strong>e muon reconstruction efficiency. The event<br />

selection criteria are <strong>the</strong> same as for <strong>the</strong> reconstruction efficiency study (Table 4.6).<br />

The tag is selected to be a high-pT isolated comb<strong>in</strong>ed muon, while <strong>the</strong> probe is<br />

required to be a high-pT comb<strong>in</strong>ed muon without any isolation requirement. The<br />

<strong>in</strong>variant mass <strong>of</strong> <strong>the</strong> tag and <strong>the</strong> probe must be <strong>in</strong> a 10 GeV w<strong>in</strong>dow around <strong>the</strong> Z<br />

mass. The selection criteria for events, tags and probes are summarized <strong>in</strong> Table 6.14.<br />

In determ<strong>in</strong><strong>in</strong>g <strong>the</strong> isolation cut efficiency, we must take <strong>in</strong>to account <strong>the</strong> fact that<br />

ei<strong>the</strong>r <strong>of</strong> <strong>the</strong> two muons from a Z decay can pass <strong>the</strong> isolation cut. We want to def<strong>in</strong>e<br />

<strong>the</strong> efficiency such that for an event <strong>in</strong> which <strong>the</strong> probe passes <strong>the</strong> isolation cut, both<br />

<strong>the</strong> tag and <strong>the</strong> probe contribute to both <strong>the</strong> numerator and <strong>the</strong> denom<strong>in</strong>ator <strong>of</strong> <strong>the</strong>

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