Pulse (Energy) & Position Reconstruction in the CMS ECAL - INFN
Pulse (Energy) & Position Reconstruction in the CMS ECAL - INFN
Pulse (Energy) & Position Reconstruction in the CMS ECAL - INFN
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Shower<br />
shape<br />
Incident electron<br />
Crystal size<br />
2.2 x 2.4 cm<br />
Cut-off distribution<br />
5x5 <strong>Energy</strong><br />
Matrix<br />
Impact on crystal centre: 82% <strong>in</strong> central crystal and 96% <strong>in</strong> a 3x3 matrix (use 3x3)<br />
General Idea:<br />
∑ i<br />
∑<br />
= The position of <strong>the</strong> crystal (η i<br />
,ϕ i<br />
) or (x,y)<br />
= Two methods us<strong>in</strong>g different weights: w =<br />
x<br />
=<br />
Calor 2004 (March 2004) Ivo van Vulpen 16<br />
w<br />
i<br />
i • i<br />
w<br />
i<br />
x<br />
i Ei<br />
or<br />
w<br />
i<br />
=<br />
w<br />
0<br />
⎛<br />
+ log⎜<br />
⎜<br />
⎝<br />
∑ j<br />
Ei<br />
E<br />
j
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