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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 105<br />

Reconstruction <strong>of</strong> photon conversions<br />

About 60% <strong>of</strong> all photons produced <strong>in</strong> pp collisions <strong>in</strong> ATLAS converts to an<br />

electron-positron pair before reach<strong>in</strong>g <strong>the</strong> calorimeter [17]. The conversion very <strong>of</strong>ten<br />

happens outside <strong>the</strong> volume <strong>of</strong> <strong>the</strong> Pixel detector, giv<strong>in</strong>g rise to a vertex far removed<br />

from <strong>the</strong> primary event vertex. The identification <strong>of</strong> conversion vertices is <strong>the</strong>refore<br />

vital for physics studies <strong>in</strong>volv<strong>in</strong>g f<strong>in</strong>al-state photons.<br />

The conversion reconstruction mechanism proceeds <strong>in</strong> three steps. The first step<br />

<strong>in</strong>volves a preselection <strong>of</strong> track pairs as conversion candidates. Electron tracks are<br />

selected by requir<strong>in</strong>g that a large fraction <strong>of</strong> <strong>the</strong> TRT hits be high threshold hits 6 .<br />

Tracks pass<strong>in</strong>g this criterion are grouped <strong>in</strong>to oppositely charged pairs. The difference<br />

<strong>in</strong> polar angle θ between <strong>the</strong> two tracks must be small, s<strong>in</strong>ce <strong>the</strong> photon is massless 7 .<br />

In addition, <strong>the</strong> distance <strong>of</strong> closest approach <strong>of</strong> <strong>the</strong> two tracks to each o<strong>the</strong>r must be<br />

small.<br />

In <strong>the</strong> second step, an <strong>in</strong>itial estimate <strong>of</strong> <strong>the</strong> conversion vertex position is derived<br />

us<strong>in</strong>g <strong>the</strong> perigee parameters <strong>of</strong> <strong>the</strong> track pair. The perigee parameters were def<strong>in</strong>ed<br />

with respect to <strong>the</strong> primary vertex, and are not accurate for photon conversion tracks.<br />

Once <strong>the</strong> vertex position has been roughly estimated, <strong>the</strong> perigee is redef<strong>in</strong>ed us<strong>in</strong>g<br />

this estimate and <strong>the</strong> track perigee parameters are recomputed. These tracks are now<br />

6 An electron emits transition radiation (TR) <strong>in</strong> pass<strong>in</strong>g through <strong>the</strong> TRT, while heavier particles<br />

do not emit TR below a Lorentz factor <strong>of</strong> ≈100. In a TRT straw tube, a TR photon loses most <strong>of</strong><br />

its energy <strong>in</strong> a s<strong>in</strong>gle Compton scatter<strong>in</strong>g <strong>in</strong>teraction, <strong>the</strong>reby giv<strong>in</strong>g a large ionization pulse. By<br />

contrast, <strong>the</strong> passage <strong>of</strong> <strong>the</strong> primary electron or o<strong>the</strong>r charged particle through <strong>the</strong> tube produces<br />

a smaller ionization pulse. The two types <strong>of</strong> pulses can be dist<strong>in</strong>guished by hav<strong>in</strong>g two separate<br />

detection thresholds. An electron travers<strong>in</strong>g <strong>the</strong> TRT is <strong>the</strong>refore expected to give to a large number<br />

<strong>of</strong> high threshold hits, while heavier charged particles should generate few such hits.<br />

7 In <strong>the</strong> axial magnetic field <strong>of</strong> <strong>the</strong> <strong>in</strong>ner detector, oppositely charged tracks will diverge <strong>in</strong> <strong>the</strong><br />

azimuthal angle φ, so that <strong>the</strong> tracks are not expected to have a small difference <strong>in</strong> this angle.

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