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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 134<br />

middle stations are used to roughly compute <strong>the</strong> momentum <strong>of</strong> <strong>the</strong> correspond<strong>in</strong>g<br />

muon. Each segment is <strong>the</strong>n extrapolated to <strong>the</strong> next station us<strong>in</strong>g three-dimensional<br />

cont<strong>in</strong>uous track<strong>in</strong>g for several values <strong>of</strong> <strong>the</strong> momentum around <strong>the</strong> crude estimate,<br />

tak<strong>in</strong>g <strong>the</strong> magnetic field and any dead material <strong>in</strong>to account. If <strong>the</strong> extrapolated<br />

segment matches one or more ‘loose’ segments <strong>in</strong> <strong>the</strong> new station, <strong>the</strong> latter are<br />

added to <strong>the</strong> track candidate. A fit is <strong>the</strong>n performed on <strong>the</strong> segments already <strong>in</strong> <strong>the</strong><br />

candidate, yield<strong>in</strong>g a better estimate <strong>of</strong> <strong>the</strong> momentum.<br />

The track candidate is <strong>the</strong>n extrapolated to any rema<strong>in</strong><strong>in</strong>g MDT station, and<br />

match<strong>in</strong>g segments are added. At this po<strong>in</strong>t, a track candidate is kept only if it<br />

conta<strong>in</strong>s at least two segments. A new fit is performed to extract ref<strong>in</strong>ed estimates<br />

<strong>of</strong> <strong>the</strong> position, direction and momentum. A global fit is <strong>the</strong>n performed us<strong>in</strong>g all<br />

hits on <strong>the</strong> segments. F<strong>in</strong>ally, <strong>the</strong> candidate is backtracked to <strong>the</strong> <strong>in</strong>teraction region.<br />

Multiple scatter<strong>in</strong>g <strong>in</strong> <strong>the</strong> calorimeters is taken <strong>in</strong>to account us<strong>in</strong>g a set <strong>of</strong> scatter<strong>in</strong>g<br />

centers, while energy loss is derived from a parametrization. Unlike Moore, Muonboy<br />

does not use <strong>the</strong> measured energy deposit <strong>in</strong> <strong>the</strong> calorimeter <strong>in</strong> any situation.<br />

Comb<strong>in</strong>ed muon reconstruction<br />

Because <strong>of</strong> multiple Coulomb scatter<strong>in</strong>g <strong>in</strong> <strong>the</strong> calorimetry, <strong>the</strong> momentum reso-<br />

lution <strong>of</strong> <strong>the</strong> muon spectrometer degrades substantially for low-pT muons. For <strong>the</strong>se<br />

muons, comb<strong>in</strong><strong>in</strong>g spectrometer measurements with <strong>in</strong>ner detector measurements pro-<br />

vides improved resolution as well as more robust fake rejection. Specifically, <strong>the</strong> <strong>in</strong>ner<br />

detector momentum resolution is better than that <strong>of</strong> <strong>the</strong> spectrometer for muons with<br />

pT

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