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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 146<br />

Track type Tagged InDet tracks Comb<strong>in</strong>ed muons<br />

Prompt muon fraction 0.793 ± 0.003 0.830 ± 0.003<br />

Table 4.3: Prompt muon fractions <strong>in</strong> data samples extracted us<strong>in</strong>g template fitt<strong>in</strong>g<br />

with Monte Carlo templates. Errors are statistical only.<br />

Both <strong>the</strong> numerator and <strong>the</strong> denom<strong>in</strong>ator <strong>of</strong> <strong>the</strong> efficiency estimation are now<br />

corrected us<strong>in</strong>g <strong>the</strong> prompt muon fractions. The result<strong>in</strong>g comb<strong>in</strong>ed muon recon-<br />

struction efficiency is found to be 0.994 ± 0.006(stat) <strong>in</strong> data and 0.986 <strong>in</strong> W → µν<br />

Monte Carlo.<br />

The systematic error on <strong>the</strong> efficiency is largely due to decay-<strong>in</strong>-flight contam-<br />

<strong>in</strong>ation. We estimate this error by compar<strong>in</strong>g <strong>the</strong> result from <strong>the</strong> template fitt<strong>in</strong>g<br />

with a second method <strong>in</strong> which <strong>the</strong> efficiency is computed as a product <strong>of</strong> two factors<br />

without <strong>the</strong> decay-<strong>in</strong>-flight correction. The two factors are:<br />

• <strong>the</strong> reconstruction efficiency <strong>of</strong> standalone muon tracks with respect to tagged<br />

<strong>in</strong>ner detector tracks<br />

• <strong>the</strong> reconstruction efficiency <strong>of</strong> comb<strong>in</strong>ed muon tracks with respect to <strong>the</strong> stan-<br />

dalone tracks<br />

The standalone muon track reconstruction efficiency is estimated as <strong>the</strong> fraction <strong>of</strong><br />

tagged <strong>in</strong>ner detector tracks with<strong>in</strong> a cone <strong>of</strong> ∆R 10 GeV, |p ID<br />

T −<br />

p MS<br />

T | < 15 GeV, and ∆RID,MS < 0.1. This selection reduces <strong>the</strong> decay-<strong>in</strong>-flight<br />

contam<strong>in</strong>ation <strong>in</strong> <strong>the</strong> sample, although it does not elim<strong>in</strong>ate <strong>the</strong>m. The fraction <strong>of</strong><br />

selected standalone tracks which are with<strong>in</strong> a cone <strong>of</strong> ∆R

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