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7.4 Event class ratios 91<br />

γ<br />

/ E T<br />

HFS<br />

E T<br />

a. b.<br />

1.2 Data<br />

before calibration<br />

MC<br />

/ E T<br />

γ<br />

HFS<br />

E T<br />

1.2 Data<br />

after calibration<br />

MC<br />

1<br />

1<br />

0.8<br />

6 8 <strong>10</strong> 12 14 16 18 20<br />

γ<br />

[GeV]<br />

E T<br />

0.8<br />

6 8 <strong>10</strong> 12 14 16 18 20<br />

γ<br />

[GeV]<br />

E T<br />

γ<br />

/ E T<br />

HFS<br />

E T<br />

c. d.<br />

1.2 Data<br />

before calibration<br />

MC<br />

/ E T<br />

γ<br />

HFS<br />

E T<br />

1.2 Data<br />

after calibration<br />

MC<br />

1<br />

1<br />

0.8<br />

-1 -0.5 0 0.5 1 1.5 2<br />

γ<br />

η<br />

0.8<br />

-1 -0.5 0 0.5 1 1.5 2<br />

γ<br />

η<br />

Figure 7.6: The ratio of transverse energy of the hadronic final state to transverse energy<br />

of prompt photon candidate as a function of transverse energy of photon candidate E γ T<br />

(a, b) and its pseudorapidity η γ (c, d). Plots show situation before (a, c) and after (b, d)<br />

hadronic energy calibration.<br />

7.4 Event class ratios<br />

The ratio of direct to resolved cross section in MC is tuned to the measurement. In this<br />

section, a double-step method of tuning that ratio to data is explained. The ratio of direct<br />

to resolved events scale is important due to difference in the selection efficiency between<br />

the two samples, being on average equal to 0.34 for a direct prompt photon signal and<br />

0.27 for a resolved prompt photon signal. Since the efficiency correction is taken purely<br />

from MC, a proper sample mix is required. For the purpose of the event class ratio<br />

determination, the distributions of x jet<br />

γ observable is used. Its definition being similar to<br />

the x LO<br />

γ given by equation 1.41 is an another estimator of the x γ variable, but since it is<br />

using two leading jets, is valid as well for background events:<br />

x jet<br />

γ<br />

= Ejet1 T<br />

exp(−η jet1 ) + E jet2<br />

T<br />

exp(−η jet2 )<br />

, (7.5)<br />

2yE e<br />

with E jet<br />

T<br />

and η jet being the transverse energy and pseudorapidity of the two leading jets,<br />

E e is the energy of the electron beam and y is the inelasticity estimator. For prompt<br />

photon events one of the jets is the photon jet.<br />

• Tuning background event class ratios<br />

The background scales are studied using the low isolated photons (with the isolation

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