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Etude et impact du bruit de fond corrélé pour la mesure de l'angle ...

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5.5 Stopping Muon analysis 149<br />

The shapes and the rates obtained by rejecting the HELN events with <strong>de</strong>dicated<br />

cut based on the Digital Q max /Q tot are well in agreement with the<br />

results of Sec. 5.5.2, obtained subtracting the HELN contribution selected<br />

o↵-time. Such results validate the o↵-time sample subtraction as valid LN<br />

re<strong>du</strong>ction m<strong>et</strong>hod.<br />

Fit const. slope 2 /dof R SM (R SM )/R SM<br />

mo<strong>de</strong>l [1/(3 MeV)] [1/(3 MeV) 2 ] [cpd] [%]<br />

F<strong>la</strong>t 35.9 ± 7.7 – 7.9/9 0.57 ± 0.12 21<br />

Slope 39.0 ± 20.1 -0.2 ± 1.1 8.4/8 0.60 ± 0.22 37<br />

tel-00821629, version 1 - 11 May 2013<br />

Table 5.15: Summary of SM spectral param<strong>et</strong>ers and SM background rate<br />

for the f<strong>la</strong>t and the sloped linear mo<strong>de</strong>l.<br />

Figure 5.29: SM spectrum fit with f<strong>la</strong>t mo<strong>de</strong>l (left) and sloped linear mo<strong>de</strong>l<br />

(right) upon Digital Q max /Q tot cut. The shapes and the rates are well in<br />

agreement with the results of Sec. 5.5.2.<br />

5.5.4 Validating high energy <strong>de</strong><strong>la</strong>yed window<br />

The <strong>de</strong><strong>la</strong>yed event pro<strong>du</strong>ced by the SM originates from the Michel electron,<br />

created by the muon <strong>de</strong>cay ⇠ 2.2 µs after the muon has stopped, loosing<br />

all its energy by ionization. Since the muon energy losses and the muon<br />

<strong>de</strong>cay are two in<strong>de</strong>pen<strong>de</strong>nt processes, the prompt energy spectrum and the<br />

Michel electron spectrum are expected to be in<strong>de</strong>pen<strong>de</strong>nt. The SM prompt<br />

spectrum obtained selecting the <strong>de</strong><strong>la</strong>yed events at high energy, [20, 60] MeV,

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