sources and evaluation method of systematics based on data

ScECAL Fermilab Beam Test analysis

ScECAL Group Meeting

Kyungpook National University, Daegu, Republic of Korea,March 29th , 2012

Adil Khan, Satoru Uozumi, DongHee Kim

Sources and evaluation method of systematics based on data

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Sources of systematic study• Response calibration by MIP (uncertainty of calib. const)• Correction for temperature dependence• MPPC gain measurement by LED system• Electronics inter-calibration of low/high gain modes (uncertainty

of inter-calib factor)• MPPC saturation correction (effective num. of pixels)

Perform pseudo-experiments and see variation• randomly change parameter channel-by-channel, and perform pseudo-experiments.• Observe the variation (RMS) in terms of resolution and linearity.• Total 20 trials

1. Systematics from MIP calibration

Distribution of calib. constant and its statistical uncertainty for all the channels

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From stochastic term the Effect of systematic error is order of ~0.08% .

From constant term the Effect of systematics error is order of ~0.07%.

Deviation from linearity (%)

Effect slightly larger than stat. uncertainties.

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Deviation from linearity for all 20 trials and for all energy points stays within ±1.5%.

2. Systematic on Temperatur Correction

Distribution of temp. correction factor and its statistical uncertainty for all the channels

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From stochastic and constant term the Effect of systematic error is order of ~0.01% ….small.

Deviation from linearity (%)

Effect is comparable or slightly larger than stat. uncertainties.

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12GeV

20GeV15GeV 30GeV

32GeV

Deviation from linearity for all 20 trials and for all energy points stays within ±1.5%.

3. Systematic on Gain Calibration

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From stochastic term the Effect of systematic error is order of ~0.007% .

From constant term the Effect of systematic error is order of ~0.005% .

Distribution of gain calib. Constant and its statistical uncertainty for all the channels

Deviation from Linearity (%)

Effect is almost comparable or slightly lager then the stat. uncertainties.

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Deviation from linearity for all 20 trials and for all energy points stays within ±1.5%.

4. Systematic on Inter-calibration factor

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Distribution of int.calib. Constant

and its statistical uncertainty for all

the channels

From stochastic term the Effect of systematic error is order of ~0.009% .

From constant term the Effect of systematic error is order of ~0.009% .

Deviation from Linearity (%)

Effect is comparable to the stat. uncertainties.

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Deviation from linearity for all 20 trials and for all energy points stays within ±1.5%.

5. Systematic on Saturation correction (effective num. of pixels (Npix))

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From stochastic term the Effect of systematic error is order of ~0.07% .

From constant term the Effect of systematic error is order of ~0.06% .

Distribution of Npix. For 72 strip

Deviation from linearity (%)

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• Effect is larger comparable to the stat. uncertainties.

Deviation from linearity for all 20 trials and for all energy points stays within ±1.5%.

Systematics study summary in terms of Energy Resolution and Linearity

Trials σstoch ± Δσstat± Δσsyst (%) σconst ± Δσstat± Δσsyst (%)

Systematics on Mip 13.03±0.03±0.08 2.42±0.01± 0.07

Systematics on Temp.Corr 13.03±0.03±0.01 2.42±0.01± 0.01

Systematics on Gain 13.03±0.03±0.01 2.42±0.01± 0.01

Systematics on InterCalib. 13.03±0.03±0.01 2.42±0.01± 0.01

Systematics on Npix 13.03±0.03±0.07 2.42±0.01± 0.06

total 13.03±0.03±0.12 2.42±0.01± 0.09

Summary & PlanSystematics (based on data) are evaluated

- For MIP calibration

- For Temperature correction

- For gain calibration

- Inter-Calibration correction

- For saturation correction

* Dominant uncertainty on deviation and resolution comes from uncertainty of effective num. of MPPC pixels and Mip Calibration, but still deviation stays within ±1.5%.

* Try to use gain runs for systematics on gain constant

* ScECALDigitizer to analyze MC events

* CALICE note for systematics. Will present in the upcoming conference ACFA KILC and KPS 23~27 april