New analysis techniques to reduce systematics due ... - CNGS - CERN
New analysis techniques to reduce systematics due ... - CNGS - CERN
New analysis techniques to reduce systematics due ... - CNGS - CERN
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Improved approach IV<br />
• Far spectrum prediction in finite energy bins:<br />
P (E Far ,E Near ) → M(N bins × N bins ).<br />
→ →<br />
N Far = M · N Near<br />
M - Near-<strong>to</strong>-far correlation matrix, in general non-diagonal.<br />
Toy example with 2 energy bins<br />
[ ][ ]<br />
( )<br />
N<br />
Far<br />
1 ,N2<br />
Far M11 M = 12 N<br />
Near<br />
1<br />
M 21 M 22 N Near<br />
2<br />
(1)<br />
• On-axis, perfect focusing: M 12 ,M 21 =0.<br />
• Realistic on-axis: M 21 > 0.<br />
• Off-axis: M 12 >> 0,M 21 ,M 22 ≈ 0.<br />
NNN Micha̷l SZLEPER Analysis <strong>techniques</strong> <strong>to</strong> <strong>reduce</strong> <strong>systematics</strong>... 8
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