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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 130<br />

3. number <strong>of</strong> hits <strong>in</strong> trigger chambers<br />

If two segment candidates are ambiguous, <strong>the</strong> lower-scor<strong>in</strong>g one is rejected.<br />

In <strong>the</strong> segment comb<strong>in</strong>ation stage, a second pattern recognition step is performed<br />

us<strong>in</strong>g segments. First, <strong>the</strong> segments are ranked accord<strong>in</strong>g to a second set <strong>of</strong> criteria<br />

<strong>in</strong>clud<strong>in</strong>g isolation <strong>in</strong> <strong>the</strong> chamber and <strong>the</strong> crude momentum estimation from <strong>the</strong><br />

<strong>in</strong>itial pattern recognition [88]. Compatibility between pairs <strong>of</strong> segments is <strong>the</strong>n<br />

estimated start<strong>in</strong>g with <strong>the</strong> highest-ranked segment. Two segments are said to be<br />

compatible if <strong>the</strong>y come from <strong>the</strong> same <strong>in</strong>itial pattern and have consistent position<br />

and direction. If <strong>the</strong>y are compatible and do not already belong to a track candidate,<br />

<strong>the</strong>y form a track candidate. If one segment belongs to a track candidate, <strong>the</strong> o<strong>the</strong>r<br />

segment is assigned to <strong>the</strong> same candidate.<br />

Once this process is complete, each track candidate is fitted us<strong>in</strong>g χ 2 m<strong>in</strong>imization<br />

with respect to <strong>the</strong> segments on it, and with <strong>the</strong> constra<strong>in</strong>t that a track must pass<br />

close to <strong>the</strong> <strong>in</strong>teraction po<strong>in</strong>t. Material effects are not taken <strong>in</strong>to account at this<br />

stage. If two track candidates share 50% or more segments, <strong>the</strong>y are merged.<br />

Track f<strong>in</strong>d<strong>in</strong>g<br />

The first stage <strong>of</strong> track f<strong>in</strong>d<strong>in</strong>g is track build<strong>in</strong>g, which is similar to <strong>the</strong> segment<br />

comb<strong>in</strong>ation described above except that material effects are taken <strong>in</strong>to account and<br />

more str<strong>in</strong>gent quality criteria are applied. A track is built up segment by segment<br />

start<strong>in</strong>g from <strong>the</strong> outer MDT station to <strong>the</strong> <strong>in</strong>ner stations 18 .<br />

For a given track candidate, <strong>the</strong> segment <strong>in</strong> <strong>the</strong> outer MDT station with <strong>the</strong> high-<br />

18 S<strong>in</strong>ce <strong>the</strong> outer muon stations suffer from less comb<strong>in</strong>atorial background than <strong>the</strong> <strong>in</strong>ner ones,<br />

start<strong>in</strong>g with segments <strong>in</strong> <strong>the</strong> outer stations results <strong>in</strong> a smaller number <strong>of</strong> possible comb<strong>in</strong>ations<br />

and <strong>the</strong>refore faster track build<strong>in</strong>g

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