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LTracker Progress

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Cursory test of likelihood fitter by itself ... Acceptance of likelihood fitter must be understood. ... Maximum likelihood fitter acceptance is being examined ... – PowerPoint PPT presentation

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Title: LTracker Progress


1
L-Tracker Progress Plans
  • J.Popp
  • University of California, Irvine
  • Brookhaven National Lab
  • MECO Collaboration Meeting
  • May 14-15, 2004

2
Outline
  • Motivation
  • Cursory test of likelihood fitter by itself
  • No event selection (trigger energy cut, pitch
    angle cut, etc.)
  • No helix/detector crossing pre-selection for
    helix recognition
  • Example from study of finite efficiency and
    acceptance of straws
  • Mostly resolvable cluster type ambiguity
  • Multiple parents for clusters
  • Sketch of how we do cluster recognition
  • State of our L-tracker software tools

3
Motivation
  • Goal Obtain sufficient information about the
    L-tracker to make an acceptable performance
    comparison to the T-tracker.
  • Desirable select detector design SOON say, six
    months or less(?)
  • Acceptance of likelihood fitter must be
    understood.
  • Assuming a favorable outcome we must raise the
    level of sophistication of L-tracker simulation
  • Simulate detector operation at the raw data level
    (TDC times, etc.)
  • Finish cluster recognition reconstruction
    inefficiencies, etc.
  • Expand helix recognition pre-selection methods
  • Fully utilize cluster information local angle
    measurements
  • Add more event types beyond two orbits with (3,3)
    and (4,4) crossings

4
Simulation GMC Version 077
  • Detector solenoid simulation
  • 10,000 conversion events higher statistics,
    later
  • Electron energy 105 MeV in stopping target
  • Magnetic field MIT design calculation
  • Calorimeter crystal
  • Tracker
  • 2848 straws
  • Wall thickness 0.0025 cm
  • Outer radius 0.25 cm
  • Length 260 cm
  • Modules are tilted to avoid helix crossing a
    straw more than once
  • Test TJs maximum likelihood fitter by itself

5
Energy Spectra Smearing Off 10000 Events
  • MECO memo 125, Fig. 2
  • Entries 18.2 vs 21.9
  • Mean 0.283 vs 0.303 MeV
  • RMS 0.354 vs 0.370 MeV
  • Chi2/ndf 283/25 vs 270/127
  • Mean 0.327 vs 0.329 MeV
  • Sigma 0.230 vs 0.209 MeV
  • MECO memo 125, Fig. 4
  • Entries 18.2 vs 21.9
  • Mean 104.0 vs 104.0 MeV
  • RMS 0.681 vs 0.695 MeV
  • Chi2/ndf 30.4/27 vs 423/166
  • Mean 104.4 vs 104.1 MeV
  • Sigma 0.329 vs 0.568 MeV

6
Energy Spectra Smearing On 3500 Events
  • Smearing off vs on
  • E(fitter) E(entry to tracker)
  • Entries 21.9 vs 19.5
  • Mean 0.303 vs 0.310 MeV
  • RMS 0.370 vs 0.336 MeV
  • Chi2/ndf 270/127 vs 85.5/80
  • Mean 0.329 vs 0.324 MeV
  • Sigma 0.209 vs 0.248 MeV
  • E(fitter) energy spectrum
  • Entries 18.2 vs 19.5
  • Mean 104.0 vs 104.1 MeV
  • RMS 0.695 vs 0.629 MeV
  • Chi2/ndf 423/166 vs 201/139
  • Mean 104.1 vs 104.3 MeV
  • Sigma 0.568 vs 0.545 MeV

7
Whats missing
  • Pre-selection cuts in MECO memo 125 make little
    difference?
  • At least 6 helix/detector crossings
  • Trigger energy gt 75 MeV
  • Pitch angle cut 45-60 degrees
  • Likelihood gt 0.001
  • Fitting uncertainty lt 600 MeV
  • Scattering angle at crossing lt 0.08 radians

8
Example Finite Acceptance 1-hit Inefficiency
  • Finite Acceptance
  • Close-packed tubes, finite thickness
  • Tube geometry distortion later
  • Finite single-tube efficiency
  • Roy Lees dissertation, p.38 E871 average
    efficiency 0.96
  • Given an N-hit cluster the probability there are
    n hits missing is binomially distributed.
  • Our software can be easily generalized to
    distinguish clusters with any number of missing
    hits that we may require.

9
Resolvable Cluster Type Ambiguity Example
10
Multiple Parents for Distinct Cluster Types
  • Distinct cluster type, i.e.. geometry
  • Not a problem, just feature of terrain
  • Resolved by nonlinear fits to the observed set of
    time and wire positions
  • Could also test each hypothesis

11
Example Ideal Cluster Recognition
  • Distribution of cluster candidates per event,
    before reconstruction
  • Form list of straw hits
  • Form groups of contiguous hits
  • Give each hit a group label
  • Require hits in all 3 layers
  • Finite acceptances and efficiencies will require
    us to relax these conditions later
  • Form all combinations of 3- to 9-hits
  • Maximum distance between hits
  • TDC times have maximum separation
  • Reject combinations with no c-type
  • Reconstruct each cluster (DTD)
  • Reject if no tracks returned by cluster
    reconstruction subroutine

12
State of L-Tracker Tool Development
  • Helix pre-selection methods have been developed
    at UCI NYU
  • Maximum likelihood fitter acceptance is being
    examined
  • Could take up to a week, depending on what we
    find
  • Finite cluster efficiencies and acceptances
    60-70 complete
  • DTD reconstruction underway
  • FDT straight-forward once time differences are
    done
  • DTD could be completed in 1-2 weeks/ FDT should
    take a week
  • Cluster recognition 50 complete
  • Test effectiveness of cluster reconstruction on
    eliminating candidates
  • Cluster recognition may take 2-4 weeks, possibly
    less.
  • Pre-selection for helix recognition is most
    difficult task
  • TJs FORTRAN is very hard to read and follow
  • Maybe faster to use NYU pre-selection code for
    L-tracker.

13
Old Pattern Recognition Plan
  • Previous detector simulation plan Jan. 2002
  • Simulate raw detector signals
  • Straw clusters time differences
  • Pad clusters time differences
  • Crystals
  • Cluster recognition
  • Straws local position direction in plane
    perpendicular to wires
  • Pads local position along wires
  • Crystals local position on sensitive surface
  • Timing information in all cases
  • Helix recognition global track finding
  • Detector information pre-selection
  • Maximum likelihood method helix fitter

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26
Event Selection
  • 1000 muon-electron conversions
  • Crystal calorimeter E gt 85 MeV
  • Helix pitch angle 45-60 degrees
  • Ideal clusters with 3 9 hits
  • Trajectory crosses all 3 planes
  • Hits in cluster are contiguous
  • Events with 6-9 clusters

27
Multiplicity Ideal Clusters
28
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