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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 102<br />

proton bunch<br />

/V 0<br />

vertex <strong>in</strong> jet<br />

primary vertex<br />

pile up vertex<br />

secondary vertex<br />

decay cha<strong>in</strong> proton bunch<br />

Figure 4.3: Vertex topologies expected <strong>in</strong> a typical bunch <strong>cross</strong><strong>in</strong>g at <strong>the</strong> LHC: <strong>the</strong><br />

primary vertex <strong>of</strong> <strong>in</strong>terest, pile-up vertices, vertices <strong>in</strong> jets, secondary and tertiary<br />

vertices from decay cha<strong>in</strong>s, and vertices from photon conversions and decays <strong>of</strong> longlived<br />

neutrals (V 0 s).<br />

detail <strong>in</strong> this <strong>section</strong>.<br />

Primary vertex reconstruction<br />

There are two approaches to primary vertex f<strong>in</strong>d<strong>in</strong>g <strong>in</strong> ATLAS, <strong>the</strong> first <strong>of</strong> which<br />

<strong>in</strong>volves us<strong>in</strong>g a ‘slid<strong>in</strong>g w<strong>in</strong>dow’ approach to locate vertices. A number <strong>of</strong> tracks<br />

compatible with <strong>the</strong> expected lum<strong>in</strong>ous region are selected and ordered by z0, <strong>the</strong> z<br />

projection <strong>of</strong> <strong>the</strong> track impact parameter. Then track clusters are looked for <strong>in</strong> <strong>the</strong><br />

region us<strong>in</strong>g a slid<strong>in</strong>g w<strong>in</strong>dow along <strong>the</strong> z axis. All clusters thus found form candidates<br />

for primary vertices. Each candidate is iteratively fitted us<strong>in</strong>g one <strong>of</strong> several vertex<br />

fitters [47], outly<strong>in</strong>g tracks be<strong>in</strong>g rejected at each iteration based on <strong>the</strong>ir contribution<br />

to <strong>the</strong> fit χ 2 . The vertex with <strong>the</strong> highest pT -sum <strong>of</strong> tracks is def<strong>in</strong>ed as <strong>the</strong> primary<br />

vertex.<br />

In this approach, a track rejected from one vertex candidate is not <strong>in</strong>cluded <strong>in</strong> any

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