Scan Back
and
Vertex Analysis
Gerardo Di Iorio
8 GeV/c pions
exposure
Nov 2004
• Nominal density of the brick:~ 0.1 tracks/mm2
/400 mrad
• Exposure of the brick at 6h cosmic ray (~ 1 tracks/mm2
/400mrad )
•The CS sheets accumulated a lot of tracks during the flight from japan
Single CS
~ 26 tracks/mm2
/400 mrad
Prediction selection
Scanning area 25 cm2
2 CS and the last sheet of the brick
2 CS and PL01
~ 0.17 tracks/mm2
/400 mrad
433 tracks recostruct
Scan Back procedure
 1x1 cm2
scanning area for plate-to-plate inter-calibration
 Calculation of scanning area for each prediction, taking into
account the affine transformation
 Only 1 view scanning to search for candidates
 Candidates defined on the basis of the angular and the
position agreement with the prediction (chi2 analysis)
Scan Back procedure (2)
•Take the best χ2 track if less than 6 (99.9% prob.)
•Look for predictions for 2 additional plates (1 per mill inefficiency) if not found
2
2
2
2
2
2
2
2
2
yxy
y
x
x yx
σσσ
ϑ
σ
ϑ
χ
ϑϑ
∆
+
∆
+
∆
+
∆
= |)|*41()0()( θσθσ ++=
Without chi2 cut
Position accuracy
∆x = x_cand – x_pred (µm) ∆y = y_cand – y_pred
(µm)
σ = 7.3 µm σ = 5.0 µm
Tagli –50,50 Profile to get the parameterization
σ = 5.3 mrad
predxcandxx −− −=∆ ϑϑϑ
Angular accuracy
σ = 4.9 mrad
predycandyy −− −=∆ ϑϑϑ
Vertex plate definition
Lead
Impurity due to random
coincidences between CS to
brick connection (4.7 mm gap):
high single plate background
beam
beam
Numberofpredictions
Sheet number
Vertex defined
from the track
disapperance on 3
consecutive
sheets
Vertex Analysis (1)
Scanning area 5x5 mm2
on 4 sheets upstream and 4 downstream the
lead plate in which the scan-back track is stopped
Vertex plate
vertex
The stopping point is confirmed and the
interaction vertex is reconstructed by using
impact parameter method (Fedra)
Vertex Analysis (2)
• Vertex scanning of all tracks stop from sheet 4 to 52:
350???tracks
• Vertex analysis of 119 volume (~ 30940 mm3
)
Impact parameter
Scatter Plot
Impact parameter – angular track
Vertex analysis results
Class Number of
events
Multi-track vertex
57
Kink
24
Multiple scattering
6
Stopping tracks without
vertex
2
Passing through
6
Alignment problems
4
Total volumes 99
Reconstructed interactions
57+24+(6)=81 (87)
Scan-Back track
Neutral hadron interactions
Confirmed by eye check
Vertex recostructed (1)
beam
Impact
parameter:
1) 7.5 µm
2) 7.9 µm
3) 10.5 µm
4) 5.5 µm
5) 7.5 µm
6) 4.5 µm
1
2
3
4
56
Vertex recostructed (2)
Impact parameter
1) 6.9 µm
2) 6.5 µm
3) 1.8 µm
4) 2.5 µm
5) 8.4 µm
beam
1
2
3
4 5
Conclusions and Outlook
 Our first scan-back trial
 Definition of the scan-back procedure (chi2 analysis)
 413 tracks followed in the ECC brick starting from
2CS+pl01 used as trigger (very high background
density)
 99 stopping points (3 missing segments)
 25 mm2 x 8 plate volume analysed around the
stopping point
 81 vertex interactions reconstructed
 Fine tuning of the procedure
 Monte-Carlo study to measure the efficiency
 Implement the procedure in the Oracle database
Stima dei vertici di interazione
attesi
cm17int =λ
Attese 84 interazioni di pioni primari
int/
0)( λz
enzn −
=
[ ] 84)/exp(1341 int0 ≈−−×= λzNattese
mmz 480 ≈spessore del mattone:
particelle sopravvissute dopo spessore z
(sovrastima del 10÷15 % nella normalizzazione a 341, a causa della molteplicità dei
secondari negli eventi)

Scan Back and Vertex Analysis

  • 1.
  • 2.
    8 GeV/c pions exposure Nov2004 • Nominal density of the brick:~ 0.1 tracks/mm2 /400 mrad • Exposure of the brick at 6h cosmic ray (~ 1 tracks/mm2 /400mrad ) •The CS sheets accumulated a lot of tracks during the flight from japan Single CS ~ 26 tracks/mm2 /400 mrad
  • 3.
    Prediction selection Scanning area25 cm2 2 CS and the last sheet of the brick 2 CS and PL01 ~ 0.17 tracks/mm2 /400 mrad 433 tracks recostruct
  • 4.
    Scan Back procedure 1x1 cm2 scanning area for plate-to-plate inter-calibration  Calculation of scanning area for each prediction, taking into account the affine transformation  Only 1 view scanning to search for candidates  Candidates defined on the basis of the angular and the position agreement with the prediction (chi2 analysis)
  • 5.
    Scan Back procedure(2) •Take the best χ2 track if less than 6 (99.9% prob.) •Look for predictions for 2 additional plates (1 per mill inefficiency) if not found 2 2 2 2 2 2 2 2 2 yxy y x x yx σσσ ϑ σ ϑ χ ϑϑ ∆ + ∆ + ∆ + ∆ = |)|*41()0()( θσθσ ++= Without chi2 cut
  • 6.
    Position accuracy ∆x =x_cand – x_pred (µm) ∆y = y_cand – y_pred (µm) σ = 7.3 µm σ = 5.0 µm Tagli –50,50 Profile to get the parameterization
  • 7.
    σ = 5.3mrad predxcandxx −− −=∆ ϑϑϑ Angular accuracy σ = 4.9 mrad predycandyy −− −=∆ ϑϑϑ
  • 8.
    Vertex plate definition Lead Impuritydue to random coincidences between CS to brick connection (4.7 mm gap): high single plate background beam beam Numberofpredictions Sheet number Vertex defined from the track disapperance on 3 consecutive sheets
  • 9.
    Vertex Analysis (1) Scanningarea 5x5 mm2 on 4 sheets upstream and 4 downstream the lead plate in which the scan-back track is stopped Vertex plate vertex The stopping point is confirmed and the interaction vertex is reconstructed by using impact parameter method (Fedra)
  • 10.
    Vertex Analysis (2) •Vertex scanning of all tracks stop from sheet 4 to 52: 350???tracks • Vertex analysis of 119 volume (~ 30940 mm3 ) Impact parameter Scatter Plot Impact parameter – angular track
  • 11.
    Vertex analysis results ClassNumber of events Multi-track vertex 57 Kink 24 Multiple scattering 6 Stopping tracks without vertex 2 Passing through 6 Alignment problems 4 Total volumes 99 Reconstructed interactions 57+24+(6)=81 (87) Scan-Back track Neutral hadron interactions Confirmed by eye check
  • 12.
    Vertex recostructed (1) beam Impact parameter: 1)7.5 µm 2) 7.9 µm 3) 10.5 µm 4) 5.5 µm 5) 7.5 µm 6) 4.5 µm 1 2 3 4 56
  • 13.
    Vertex recostructed (2) Impactparameter 1) 6.9 µm 2) 6.5 µm 3) 1.8 µm 4) 2.5 µm 5) 8.4 µm beam 1 2 3 4 5
  • 14.
    Conclusions and Outlook Our first scan-back trial  Definition of the scan-back procedure (chi2 analysis)  413 tracks followed in the ECC brick starting from 2CS+pl01 used as trigger (very high background density)  99 stopping points (3 missing segments)  25 mm2 x 8 plate volume analysed around the stopping point  81 vertex interactions reconstructed  Fine tuning of the procedure  Monte-Carlo study to measure the efficiency  Implement the procedure in the Oracle database
  • 15.
    Stima dei verticidi interazione attesi cm17int =λ Attese 84 interazioni di pioni primari int/ 0)( λz enzn − = [ ] 84)/exp(1341 int0 ≈−−×= λzNattese mmz 480 ≈spessore del mattone: particelle sopravvissute dopo spessore z (sovrastima del 10÷15 % nella normalizzazione a 341, a causa della molteplicità dei secondari negli eventi)