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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 143<br />

systematic on <strong>the</strong> tube hit efficiency.<br />

Reconstruction efficiency <strong>of</strong> comb<strong>in</strong>ed muon tracks<br />

In pr<strong>in</strong>ciple, <strong>the</strong> efficiency with which objects are reconstructed <strong>in</strong> a particular<br />

subdetector can be obta<strong>in</strong>ed from a Monte Carlo study. For example, <strong>the</strong> reconstruc-<br />

tion efficiency for muons can be estimated from a simulated sample by compar<strong>in</strong>g<br />

<strong>the</strong> number <strong>of</strong> generated muons to <strong>the</strong> number <strong>of</strong> reconstructed muons. However, a<br />

detector simulation will generally not be very accurate and, <strong>in</strong> particular, realistic<br />

background conditions cannot be modeled with precision. Hence, it is preferable to<br />

derive reconstruction efficiencies from real data with m<strong>in</strong>imal reliance on simulation.<br />

As stated <strong>in</strong> Section 4.2.3, we use comb<strong>in</strong>ed muons from <strong>the</strong> Staco algorithm <strong>in</strong> our<br />

analysis, so that we want to estimate <strong>the</strong> efficiency <strong>of</strong> this particular reconstruction<br />

path. We derive <strong>the</strong> efficiency us<strong>in</strong>g two <strong>in</strong>dependent approaches, both <strong>of</strong> which<br />

measure <strong>the</strong> comb<strong>in</strong>ed muon reconstruction efficiency relative to <strong>the</strong> <strong>in</strong>ner detector<br />

track reconstruction efficiency. In <strong>the</strong> MS hit method, ID tracks are tagged as muon<br />

tracks us<strong>in</strong>g hits <strong>in</strong> <strong>the</strong> muon spectrometer, while <strong>in</strong> <strong>the</strong> tag-probe method, ID tracks<br />

are tagged as muon tracks by identify<strong>in</strong>g <strong>the</strong>m as com<strong>in</strong>g from Z → µµ decays. Both<br />

methods are described below.<br />

The MS hit method<br />

The selection criteria for events and for <strong>in</strong>ner detector tracks used by this method<br />

are summarized <strong>in</strong> Table 4.2. The event selection criteria maximize <strong>the</strong> probability<br />

that <strong>the</strong> events are from collisions, while <strong>the</strong> k<strong>in</strong>ematic and quality cuts on <strong>the</strong> tracks<br />

select well-reconstructed tracks that have similar characteristics to tracks from Z

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