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Measurement of the Z boson cross-section in - Harvard University ...

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Chapter 2: The Accelerator and <strong>the</strong> Experiment 61<br />

<strong>the</strong> spectrometer. Read<strong>in</strong>gs from <strong>the</strong> Hall sensors, accurate to 5 gauss, are stored <strong>in</strong><br />

<strong>the</strong> Detector Control System (DCS) database. By compar<strong>in</strong>g <strong>the</strong> measurements with<br />

a simulation, it is possible to fit for <strong>the</strong> position <strong>of</strong> <strong>the</strong> toroid coils. The goal is to<br />

estimate <strong>the</strong> bend<strong>in</strong>g power along a muon trajectory to a few parts <strong>in</strong> a thousand.<br />

Alignment <strong>of</strong> muon chambers<br />

As mentioned before, physics performance goals require that <strong>the</strong> accuracy <strong>of</strong> posi-<br />

tion measurement on a muon track be better than ≈ 50 µm. Given that <strong>the</strong> position<br />

resolution <strong>of</strong> a precision chamber is ≈ 35 − 40 µm, <strong>the</strong> alignment <strong>of</strong> <strong>the</strong> chambers<br />

<strong>the</strong>mselves must be known to an accuracy <strong>of</strong> ≈ 30 µm. S<strong>in</strong>ce it is not possible to<br />

keep <strong>the</strong> chambers stable to this accuracy, an optical alignment system is <strong>in</strong> place to<br />

cont<strong>in</strong>uously monitor <strong>the</strong> positions and deformations <strong>of</strong> <strong>the</strong> precision chambers. The<br />

optical alignment system has been shown to satisfy <strong>the</strong> accuracy required. Us<strong>in</strong>g <strong>the</strong><br />

alignment data, displacements <strong>of</strong> up to ≈ 1 cm can be corrected for dur<strong>in</strong>g <strong>of</strong>fl<strong>in</strong>e<br />

track reconstruction [15].<br />

About 12,000 precision-mounted optical sources and cameras monitor <strong>the</strong> <strong>in</strong>ternal<br />

deformation <strong>of</strong> chambers as well as <strong>the</strong>ir relative positions. The MDT chambers are<br />

equipped with an <strong>in</strong>-plane alignment system which monitors MDT wire displacement<br />

at <strong>the</strong> level <strong>of</strong> 10 µm 2.9. Alignment <strong>of</strong> chambers with<strong>in</strong> a projective tower is accom-<br />

plished by def<strong>in</strong><strong>in</strong>g a grid <strong>of</strong> optical l<strong>in</strong>es that monitor <strong>the</strong> position <strong>of</strong> chambers. The<br />

required accuracy for <strong>the</strong> relative position<strong>in</strong>g <strong>of</strong> different towers is ≈ few mm, which<br />

was achieved dur<strong>in</strong>g <strong>the</strong> <strong>in</strong>itial position<strong>in</strong>g <strong>of</strong> <strong>the</strong> chambers.<br />

Not all MDT chambers are connected by <strong>the</strong> optical grid. Some chambers <strong>in</strong> <strong>the</strong>

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