Pulse (Energy) & Position Reconstruction in the CMS ECAL - INFN

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Reconstruction Method 1: Linear weighting w i = Ei Calor 2004 (March 2004) Ivo van Vulpen 18 ∆Y (reco.–true) mm uncorrected S-curve corrected S-curve E = 120 GeV Reconstructed (Y) mm σ=620µm Resolution versus impact position Corrected for beam profile st resolution: ose to crystal edge ∆Y (reco.–true) mm Worst resolution: max. energy fraction in central crystal = Requires a correction that is f(E,η,ϕ)
Calor 2004 (March 2004) Ivo van Vulpen 19 w i = w Reconstruction Method 2: Logarithmic weighting 0 ⎛ + log⎜ ⎜ ⎝ ∑ j Ei E j ⎞ ⎟ ⎟ ⎠ (all weights should be ‡ 0.) Minimal (relative) crystal energy included in computation Optimal W 0 = 3.80 (min. crystal energy is 2.24% of the energy contained in the 3x3 matrix ∆Y (reco.–true) mm uncorrected Reconstructed (Y) mm σ=700µm ∆Y (reco.–true) mm Corrected for beam profile = Resolution is now more flat over the crystal surface = no correction needed that is f(E,η,ϕ)
Page 1 and 2: Pulse (Energy) & Position Reconstru
Page 3 and 4: Calor 2004 (March 2004) Ivo van Vul
Page 5 and 6: A single pulse Calor 2004 (March 20
Page 7 and 8: Pulse Reconstruction Method Calor 2
Page 9 and 10: Pulse Shape information: Average pu
Page 11 and 12: Optimization of parameters for test
Page 13 and 14: Final design of front-end electroni
Page 15 and 16: Precision on ‘true’ impact posi
Page 17: Calor 2004 (March 2004) Ivo van Vul
Page 21 and 22: Calor 2004 (March 2004) Ivo van Vul
Page 23: A pure signal f(t) A signal + remai

Pulse (Energy) & Position Reconstruction in the CMS ECAL - INFN

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