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8.7 Corrections to the QCD calculations 125<br />

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Figure 8.15: Isolation correction ftheor isol as determined for all the final cross sections. The<br />

cross sections codes as defined in table 8.1 are given in relevant places.<br />

ftheor had is determined for each bin i: ftheor,i had = Nhad i /N par<br />

i , (8.53)<br />

where Ni<br />

had and N par<br />

i is the number of generated events in the given phase space in<br />

bin i on hadron and parton level respectively. Since the hadronisation in MC can be<br />

calculated using two competitive methods (see section 2.1.1), the correction factor ftheor<br />

had<br />

is determined with the help of two different Monte Carlo generators. The actual correction<br />

factor is taken as the mean value between the correction factor obtained with PYTHIA<br />

MC (using Lund fragmentation model) and with HERWIG MC (CDF model), while half<br />

of the difference between them determines the corresponding uncertainty.<br />

The correction factors for all the final cross sections is shown in figure 8.16. For the<br />

inclusive cross sections, the hadronisation correction is most significant for low transverse<br />

energies and in the forward direction. At low energies hadron level jets are statistically<br />

wider which may affect the resolution in the isolation of the photon. In the forward region<br />

of the detector, the proton remnant creates higher local particle density and thus more<br />

sensitivity to the isolation cut. For the exclusive cross section, correction factors obtained

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