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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 108<br />

Primary Vertex x [mm]<br />

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RMS x = 0.024 mm<br />

RMS z = 27.9 mm<br />

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ATLAS Prelim<strong>in</strong>ary<br />

s = 7 TeV<br />

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ATLAS Prelim<strong>in</strong>ary<br />

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ATLAS Prelim<strong>in</strong>ary<br />

s = 7 TeV<br />

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Figure 4.6: Distribution <strong>of</strong> primary vertices <strong>in</strong> data <strong>in</strong> <strong>the</strong> xz (top left), yz (top right)<br />

and xy (bottom) planes.<br />

be parallel to <strong>the</strong> beampipe and centered on <strong>the</strong> nom<strong>in</strong>al <strong>in</strong>teraction po<strong>in</strong>t (IP), de-<br />

f<strong>in</strong>ed as <strong>the</strong> orig<strong>in</strong> <strong>in</strong> global detector coord<strong>in</strong>ates. In reality, <strong>the</strong> beaml<strong>in</strong>e <strong>of</strong>ten has a<br />

f<strong>in</strong>ite slope, and is <strong>of</strong>f-center with respect to <strong>the</strong> nom<strong>in</strong>al IP. For example, Figure 4.6<br />

shows <strong>the</strong> distribution <strong>of</strong> primary vertices <strong>in</strong> 2010 data <strong>in</strong> <strong>the</strong> xy, xz and yz planes.<br />

We see that <strong>the</strong> beaml<strong>in</strong>e is significantly displaced from <strong>the</strong> nom<strong>in</strong>al position along<br />

both x- and y-axes; additionally, a substantial slope is present <strong>in</strong> <strong>the</strong> xz plane [96].<br />

Large jumps <strong>in</strong> <strong>the</strong> beam position <strong>of</strong> ≈mm can occur at <strong>the</strong> start <strong>of</strong> a run, while<br />

dur<strong>in</strong>g a run it can shift by up to 50 µm [4]. Accurate reconstruction <strong>of</strong> <strong>the</strong> beaml<strong>in</strong>e<br />

is <strong>the</strong>refore necessary at least on a run-by-run basis, or even per lum<strong>in</strong>osity block.<br />

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