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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 92<br />

t<br />

t<br />

m<br />

r<br />

Figure 3.15: GEANT4 simulation show<strong>in</strong>g an ATLAS BCM station with <strong>the</strong> four<br />

sensors placed symmetrically about <strong>the</strong> beampipe on <strong>the</strong> support structure.<br />

2010 runn<strong>in</strong>g when <strong>the</strong> mean number <strong>of</strong> <strong>in</strong>teractions per bunch-<strong>cross</strong><strong>in</strong>g was small.<br />

A spacepo<strong>in</strong>t-based m<strong>in</strong>imum bias trigger was used to reject bunch-<strong>cross</strong><strong>in</strong>gs with<br />

no <strong>in</strong>teractions. The trigger used spacepo<strong>in</strong>t multiplicity <strong>in</strong> <strong>the</strong> silicon detectors to<br />

determ<strong>in</strong>e whe<strong>the</strong>r a hard <strong>in</strong>teraction occurred [70]. The total number <strong>of</strong> spacepo<strong>in</strong>ts<br />

<strong>in</strong> triggered events <strong>in</strong> a given lum<strong>in</strong>osity block 7 scales with <strong>the</strong> <strong>in</strong>tegrated lum<strong>in</strong>osity,<br />

after correction for trigger deadtime and prescales.<br />

Primary vertex count<strong>in</strong>g: The number <strong>of</strong> non-diffractive events per bunch <strong>cross</strong><strong>in</strong>g<br />

has a Poisson distribution with a mean λ given by:<br />

λ = σndLb<br />

(3.19)<br />

where σnd is <strong>the</strong> non-diffractive <strong>cross</strong>-<strong>section</strong> and Lb is <strong>the</strong> bunch lum<strong>in</strong>osity. Once<br />

σnd at <strong>the</strong> LHC is measured <strong>in</strong>dependently <strong>of</strong> ATLAS (e.g., us<strong>in</strong>g <strong>the</strong> TOTEM de-<br />

7 A lum<strong>in</strong>osity block is <strong>the</strong> smallest length <strong>of</strong> time dur<strong>in</strong>g which <strong>the</strong> <strong>in</strong>tegrated lum<strong>in</strong>osity can be<br />

calculated, with corrections for trigger deadtime and prescales. The exact duration <strong>of</strong> a lum<strong>in</strong>osity<br />

block depends on operational conditions; <strong>in</strong> particular, <strong>the</strong> duration must be long enough that<br />

<strong>the</strong> statistical uncerta<strong>in</strong>ty <strong>in</strong> <strong>the</strong> <strong>in</strong>tegrated lum<strong>in</strong>osity measured for <strong>the</strong> block is smaller than <strong>the</strong><br />

systematic uncerta<strong>in</strong>ty. In <strong>the</strong> 2010 proton run, 2-m<strong>in</strong>ute long blocks were used.

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