1. TOF Software and Analysis Tools
MICE CM22, Rutherford Appleton Laboratory
Sunday 19 October 2008
Mark Rayner

2. Analysis Applications
G4MICE
Reconstruction
Analysis
Tools
Real Data
Simulation
Reconstruction of
the angles x’ and y’
Momentum spectra
for KEK data
Time in Tracker
Reference Plane
Measurement of
emittance
Longitudinal
momentum in TRP
Analysis Applications
Measurement of
optical parameters
Reconstruction
of RF Phase
TofTrack
Average muon momentum between TOFs
Particle ID
TofSpacePoints
Muon time and position in each TOF
TofSlabHits
Hit time in scintillator slabs
TofDigits
Time and signal in each PMT
Calibration
DATE
Digitization
KEK data
Simulation
GVA data 2

3. Calibration of the Timing Detector Photomultiplier Tubes
KEK tracker test timing detectors
250 MeV/c e+, m+ and p+
Assume e+ are ultra-relativistic
The MICE TOFs
KEK method not practical
Laser injection to slab centre
T1 timing counter
Aerogels
5x5 TOF counter
Tracker

4. Analysis Applications
G4MICE
Reconstruction
Analysis
Tools
Real Data
Simulation
Reconstruction of
the angles x’ and y’
Momentum spectra
for KEK data
Time in Tracker
Reference Plane
Measurement of
emittance
Longitudinal
momentum in TRP
Analysis Applications
Measurement of
optical parameters
Reconstruction
of RF Phase
TofTrack
Average muon momentum between TOFs
Particle ID
TofSpacePoints
Muon time and position in each TOF
TofSlabHits
Hit time in scintillator slabs
TofDigits
Time and signal in each PMT
Calibration
DATE
Digitization
KEK data
Simulation
GVA data 4

5. Momentum Reconstruction Between Timing Detectors
KEK tracker test data
The Geneva counters
Expected performance of the MICE TOFs
p [MeV/c] m+ p+
pTofTrack – pTruth [MeV/c]
Before
TOF0
After
TOF1

6. Analysis Applications
G4MICE
Reconstruction
Analysis
Tools
Real Data
Simulation
Reconstruction of
the angles x’ and y’
Momentum spectra
for KEK data
Time in Tracker
Reference Plane
Measurement of
emittance
Longitudinal
momentum in TRP
Analysis Applications
Measurement of
optical parameters
Reconstruction
of RF Phase
TofTrack
Average muon momentum between TOFs
Particle ID
TofSpacePoints
Muon time and position in each TOF
TofSlabHits
Hit time in scintillator slabs
TofDigits
Time and signal in each PMT
Calibration
DATE
Digitization
KEK data
Simulation
GVA data 6

7. The G4MICE Beam Line Between TOF0 and TOF1
Effective focusing strength k [m-2]
Effective length l [m]
Central quadrupole gradient [T/m]
150
MeV/c
200
250
300
Effective phase advance W [rad]
Defocusing
Focusing

8. Modelling the Beam Line Between TOF0 and TOF1
Use the quadrupole parameterization and linear beam optics to select ideal quadrupole gradients for the measurement of x’=dx/dz
Verify with G4MICE simulations
g07 [T/m]
T/m
g09
–g08
M21 [m-1]
dx/dz
x [mm]
TOF0
TOF1

9. Angle Reconstruction and Emittance Measurement
Error on x’
[radians]
Amplitude [mm]
Total error
Due to Cherenkov
Due to position error
Due to timing error
Due to tracking error
True x’
Reconstructed x’
True trace space
distribution
at TOF1
G4MICE
reconstruction
of trace space
using simulated
TOF hits
dx/dz
x [mm]
No Cherenkov

10. Extrapolation of Time and Momentum to the TRP and RF
TOF1
& cage
Tracker Solenoid 1
Tracker 1
Photon
Muon
Electron
Focus coil RF H2
absorber
Extrapolation of Time and Momentum to the TRP and RF
Extrapolate to tracker reference plane for longitudinal emittance
Extrapolate to RF to measure phase and define a bunched beam
Work in progress
Possible methods
Geant4 style stepping algorithm
Transfer matrix style Taylor expansion
Kalman filter

11. Analysis Applications
G4MICE
Reconstruction
Analysis
Tools
Real Data
Simulation
Reconstruction of
the angles x’ and y’
Momentum spectra
for KEK data
Time in Tracker
Reference Plane
Measurement of
emittance
Longitudinal
momentum in TRP
Analysis Applications
Measurement of
optical parameters
Reconstruction
of RF Phase
TofTrack
Average muon momentum between TOFs
Particle ID
TofSpacePoints
Muon time and position in each TOF
TofSlabHits
Hit time in scintillator slabs
TofDigits
Time and signal in each PMT
Calibration
DATE
Digitization
KEK data
Simulation
GVA data 11