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

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5.3 OV Tag analysis 115<br />

The t cut value is chosen to be 10 µs (⇠ 4.5⇥⌧ SM ) as to obtain ⇢(t cut ) & 90 %<br />

for both samples. The quantities a↵ected by the approximation performed<br />

in Eq. 5.1 are the FN e ciency and the SM purity, since resulting from<br />

the integral of Eq. 5.1 at short t. Using the ¯⌫ e sample to estimate the<br />

fraction of neutrons captured at t < 10 µs, the FN e ciency and the<br />

SM purity results un<strong>de</strong>restimated by approximately 4 %. Such correction is<br />

neglected for the SM, since its value results within the statistical uncertainty<br />

on the SM purity. Since ¯⌫ e and FN present the same t distributions, the<br />

fraction of ¯⌫ e events with t > t cut is assumed as FN e ciency. In this<br />

way, the FN e ciency is known with b<strong>et</strong>ter statistical uncertainty, since<br />

¯⌫ e sample statistics is bigger than the FN one, and do not su↵er from the<br />

approximation performed in Eq. 5.1. Final values of e ciency and purity<br />

are summarised in Tab. 5.1.<br />

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

Sample ✏ t ⇢ t<br />

Stopping Muon 0.99 +0.01<br />

0.17 0.88 ± 0.07<br />

Fast Neutron 0.78 ± 0.01 0.97 +0.03<br />

0.08<br />

Table 5.1: FN an SM separation e<br />

cut t cut = 10 µs.<br />

5.3 OV Tag analysis<br />

ciency (✏ t ) and purity (⇢ t ) for the chosen<br />

The corre<strong>la</strong>ted background could be estimated by tagging its parent muons<br />

crossing the OV (OVT). Since the OV v<strong>et</strong>o (OVV) applied in the signal<br />

selection, such tagged sample represent the events exclu<strong>de</strong>d from the signal<br />

selection. For this reason, this m<strong>et</strong>hod do not help to measure the<br />

total corre<strong>la</strong>ted background rate, but is useful to infer its spectral shape in<br />

[0.7, 12] MeV. The OVT is then performed by selecting those events rejected<br />

by the OVV, i.e. time coinci<strong>de</strong>nces b<strong>et</strong>ween the prompt candidate and an<br />

OV hit in a time window of 224 ns.<br />

In Fig. 5.4 the prompt energy spectrum in [0.7, 30] MeV is shown with<br />

(red points) and without (blue point) OVT, a rather f<strong>la</strong>t spectrum is observed.<br />

The OVT e ciency is estimated by comparing the high energy tail<br />

> 12 MeV with and without OVT. Assuming a f<strong>la</strong>t distribution, the total<br />

OVT e ciency is estimated to be 55 ± 6 % [45].<br />

The FN and the SM components are then separated by the t cut b<strong>et</strong>ween<br />

prompt and <strong>de</strong><strong>la</strong>yed events and evaluated separately. The OVT e ciency<br />

is estimated to be (38 ± 7) % for FN and (74 ± 12) % for SM, in agreement<br />

with the total OVT e ciency. As expected, the OVT e ciency for SM is

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