another look to the bgo matrix calibration c voena infn roma
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Another look to the BGO matrix calibration C.Voena INFN Roma. Signal windows in OSC waveform analysis. As in the paper, event by-event for PMT i (start of signal is determined from average time profile): Q i = Integral[0,115]ns S i = Integral[50,115]ns

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signal windows in osc waveform analysis
Signal windows in OSC waveform analysis
  • As in the paper, event by-event for PMTi
  • (start of signal is determined from average time profile):
  • Qi = Integral[0,115]ns
  • Si = Integral[50,115]ns
  • Ci = Integral[0,16]ns-0.27*Si

mV

S2

S1

In the paper S1/S2 is assumed to be 20% on the basis of 2007 results

S1/S2=27%

sample

q sum q 1 q 2 q 3 q 4 distributions 50 gev
Qsum(=Q1+Q2+Q3+Q4) distributions (50 GeV)

central beam position

Qsum

Long tail at low total energy

q sum and q 1 dependence on downstream bc
Qsum and Q1 dependence on DownStream BC

Y(tdc counts)

Y(tdc counts)

Qsum

Q1

- Strange distributions at Y>0 and for some runs also at Y<200 and Y>-200 (Y= vertical coordinate of downstream beam chamber)

- The tails of Qsum distribution are concentrated at Y>0

Cut at Y<0 and Y>-200 in what follows

calibration procedure using q i minimize resolution
Calibration procedure using Qi: minimize resolution

Intercalibration constants k1i of all runs at 10-20-30-50-100-150-200 GeV at the three different position (21 runs) by minimizing:

j=run number

Overall calibration constant k from run at 50 GeV

in position c

results for q sum in central beam position
Results for Qsum in central beam position

Linearity

/E(GeV)

Resolution

0.30/√E(GeV)+1.3%

-1/√E(GeV)

E(GeV)

results for q sum in beam position b
Results for Qsum in beam position b)

Linearity

Resolution

/E(GeV)

0.31/√E(GeV)+0.5%

-1/√E(GeV)

E(GeV)

- Very non uniform behavior with respect to central position

- beam position a) is in better agreement with central

beam position

- Minimizing linearity for all runs brings mean linearity in

0.8-1.2 range for all positions

results for cerenkov signal in central beam position
Results for Cerenkov signal in central beam position

Linearity

/E(GeV)

Resolution

0.42/√E(GeV)+2%

E(GeV)

-1/√E(GeV)

- Optimizing the inter-calibration constants separatly

for C and S improve resolution of few %.

results for scintillation signal in central beam position
Results for scintillation signal in central beam position

Linearity

/E(GeV)

Resolution

0.47/√E(GeV)+1%

-1/√E(GeV)

E(GeV)

- Optimizing the inter-calibration constants separatly

for C and S improve resolution of few %.

summary
Summary
  • - BGO matrix calibrated by minimizing the resolution
  • at all energies
  • - Low energy tails removed to apply this procedure
  • - Resolutions for beam in central position
  • - Linearity at <5% level except at 10GeV and 20-30 GeV
  • for Cerenkov signal
  • - Very different response when beam is sent in position c)
  • - Some improvement in resolution with respect to approach
  • that minimizes linearity but worse linearity for Cerenkov
  • signal

C:0.42/√E(GeV)+2%

Q:0.30/√E(GeV)+0.5%

S:0.47/√E(GeV)+2%

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