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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 140<br />

The MDT tube hit efficiency <strong>in</strong> ATLAS has been estimated us<strong>in</strong>g cosmic muons.<br />

Figure 4.12 shows <strong>the</strong> tube hit efficiency <strong>in</strong> one MDT chamber (BML2A03) as a<br />

function <strong>of</strong> <strong>the</strong> distance <strong>of</strong> <strong>the</strong> particle trajectory from <strong>the</strong> anode (<strong>the</strong> drift radius) [26].<br />

Efficiency curves are shown for three different cuts on <strong>the</strong> hit residual R, requir<strong>in</strong>g<br />

R < nσ, for n = 3, 5 and 10, where σ is a convolution <strong>of</strong> <strong>the</strong> tube spatial resolution<br />

and <strong>the</strong> track extrapolation error given by <strong>the</strong> extrapolator, and R is def<strong>in</strong>ed as:<br />

R = di − ri<br />

(4.8)<br />

where di is <strong>the</strong> distance <strong>of</strong> <strong>the</strong> reconstructed track from <strong>the</strong> anode and ri is <strong>the</strong><br />

measured drift radius. As can be seen, even <strong>in</strong> <strong>the</strong> most conservative case (red curve),<br />

<strong>the</strong> hit efficiency is ≈94% or better over most <strong>of</strong> <strong>the</strong> drift radius.<br />

Figure 4.13 shows <strong>the</strong> distribution <strong>of</strong> tube efficiencies for <strong>the</strong> tubes <strong>in</strong> all chambers<br />

<strong>in</strong> <strong>the</strong> middle MDT station. Distributions are shown separately for <strong>the</strong> four longi-<br />

tud<strong>in</strong>al segments <strong>of</strong> <strong>the</strong> muon spectrometer: barrel A and C and endcap A and C.<br />

In each segment, <strong>the</strong> overall tube efficiency is 93-94%, as expected from studies with<br />

test beam and drift tube simulation [110].<br />

The MDT tube hit efficiency has a systematic uncerta<strong>in</strong>ty, due ma<strong>in</strong>ly to <strong>the</strong><br />

presence <strong>of</strong> dead tubes. To estimate <strong>the</strong> number <strong>of</strong> dead tubes, we used monitor<strong>in</strong>g<br />

histograms from events accepted by <strong>the</strong> Level-1 trigger produced by <strong>the</strong> Gnam appli-<br />

cation [41]. We found 590 tubes to be consistently dead, while a fur<strong>the</strong>r 48 tubes<br />

were dead <strong>in</strong> about half <strong>the</strong> runs used <strong>in</strong> this analysis. Compar<strong>in</strong>g <strong>the</strong>se results with<br />

an <strong>of</strong>fl<strong>in</strong>e database conta<strong>in</strong><strong>in</strong>g a list <strong>of</strong> dead tubes, we found 339 additional tubes to<br />

be dead. Hence, 939 tubes were dead for at least part <strong>of</strong> <strong>the</strong> data we use. This is ≈<br />

0.3% <strong>of</strong> <strong>the</strong> total number <strong>of</strong> MDT tubes, and consequently we take this number as a

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