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Efficiency and Timing Simulations for Layers 0-3 in SuperB SVT

This update provides information on efficiency simulations and timing estimations for layers 0-3 in the SuperB SVT. It includes details on random waveform generation, hit energy distribution, efficiency computation, simulation results, hit time estimation, and uncertainty.

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Efficiency and Timing Simulations for Layers 0-3 in SuperB SVT

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  1. Update on efficiency and timing simulations for Layers 0-3 L. Ratti Università degli Studi di Pavia INFN Pavia SuperB SVT phone meeting, 17/4/2012

  2. Efficiency simulation – random waveform generation Generation of a random sequence of voltage pulses - output response to background hits of an analog channel with an RC2-CR shaper hits occur in time as Poisson points – the time interval between two subsequent events is a random number with exponential distribution (the average hit rate for each layer is provided by physical background simulations) hit energy distribution is provided again by physical background simulations Efficiency is computed as threshold (MIP/4) n is the total number of interesting events during DT, l the number of lost events in DT, TOTBG is the time over threshold during DT due to BG events, r is the rate of interesting events

  3. Simulation results – Layer0-1 3

  4. Simulation results – Layer2-3

  5. Hit time estimation and uncertainty Consider a readout channel with threshold discrimination The time of arrival of a particle, t0 (corresponding to the signal start time, drift time of the charge in the detector is considered negligible), is given by with tth the threshold crossing time and twalkthe time needed by the signal to reach the threshold (depending on the signal amplitude and, in turn, on the input charge). The uncertainty in the estimation of t0 is given by depends on amplitude measurement resolution depends on time stamping

  6. Uncertainty in the estimation of t0 Based on MC simulation results, the uncertainty in t0 can be expressed as where the worst case value of σwalk, ~0.25 TCK,TOT for TOT0, is assumed Actually σwalk gets smaller for larger values of TOT, so better estimation of t0 could be obtained

  7. TOT counter bit number Shaper linearity over the full signal dynamic range (15 MIPs) is assumed

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