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

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Chapter 3: Lum<strong>in</strong>osity <strong>Measurement</strong> at <strong>the</strong> LHC and <strong>in</strong> ATLAS 81<br />

pickup collects this charge at certa<strong>in</strong> locations <strong>in</strong> <strong>the</strong> beampipe. The amplitude <strong>of</strong><br />

<strong>the</strong> signal is proportional to <strong>the</strong> beam (or bunch) <strong>in</strong>tensity and <strong>in</strong>versely proportional<br />

to <strong>the</strong> distance <strong>of</strong> <strong>the</strong> beam from <strong>the</strong> pickup device.<br />

(a) (b)<br />

Figure 3.8: (Left) Structure <strong>of</strong> a 24 mm LHC button electrode; (right) configuration<br />

<strong>of</strong> a mounted BPM consist<strong>in</strong>g <strong>of</strong> four button electrodes, two each for horizontal and<br />

vertical beam position monitor<strong>in</strong>g.<br />

The button-type BPM used <strong>in</strong> <strong>the</strong> LHC consists <strong>of</strong> two pairs <strong>of</strong> button electrodes<br />

placed symmetrically <strong>in</strong> <strong>the</strong> beam pipe, one pair for measur<strong>in</strong>g <strong>the</strong> horizontal beam<br />

position and <strong>the</strong> o<strong>the</strong>r for <strong>the</strong> vertical position. S<strong>in</strong>ce <strong>the</strong> signal <strong>in</strong>duced <strong>in</strong> each<br />

electrode <strong>in</strong> a pair depends on <strong>the</strong> distance <strong>of</strong> <strong>the</strong> beam from <strong>the</strong> electrode, <strong>the</strong><br />

beam position can be determ<strong>in</strong>ed by compar<strong>in</strong>g <strong>the</strong> signals from <strong>the</strong> two electrodes.<br />

First, however, <strong>the</strong> signals must be normalized <strong>in</strong> order to make <strong>the</strong>m <strong>in</strong>dependent<br />

<strong>of</strong> beam <strong>in</strong>tensity. At <strong>the</strong> LHC, this is done by a process known as Wide Band Time<br />

Normalization (WBTN) [66]. The signal from each electrode is split and recomb<strong>in</strong>ed<br />

with a delayed signal from <strong>the</strong> o<strong>the</strong>r electrode. This results <strong>in</strong> two signals whose<br />

relative zero-<strong>cross</strong><strong>in</strong>g time depends on <strong>the</strong> beam position. The electronics works at<br />

40 MHz, enabl<strong>in</strong>g bunch-by-bunch position monitor<strong>in</strong>g.

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