R(t) Relations from inclusive MDT tubes drift time distributions -- update --
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R(t) RelationsR(t) Relations
from inclusive MDT tubes from inclusive MDT tubes drift time distributionsdrift time distributions
-- update ---- update --
M.M. BaroneBarone
Software and AnalSoftware and Analyyssiis Meetings MeetingATLAS/FrascatiATLAS/Frascati
LNF -- October 18, 2004LNF -- October 18, 2004
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Use of the inclusive drift time spectrum to determine the R(t) relation,by associating the R position of a track to the corresponding drift time R + t = R(t)R + t = R(t)
The Method
R
muon track
• R is the distance of minimum approach of the muon track to the sensing wire
Watch out!Incorrect R-t association for events wheredelta-rays are produced
• RTRUE(t) = “correct” relation between t and R ( no delta-rays )• Use of RTRUE(t) to determine the distribution
that hypothetically would correspond to the inclusive time distribution
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- The method performs very well: precision < 10 microns using two MonteCarlo samples with different gas mixture
Results from MonteCarlo (Garfield)
Similar excellent performances expected even with real data, provided that the appropriate distribution is used
RTRUE (t) – R(t)
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- Are delta-rays properly simulated by the Garfield program?
Comparison of the delta-ray content:GarfieldGarfield vs X5 dataX5 data (with external tracker)
% of delta-rays
Garfield does not simulate delta-ray production in the tube walls
Use of X5 data to Use of X5 data to determine the determine the
distributiondistribution
Delta rays
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- distribution : from X5
- inclusive time distribution t : from H8
- R(t) = (t)
…………. Our usual procedure, but…Our usual procedure, but…
Procedure
R (mm)
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• Garfield shows that the method is very sensitive to variations of the t0
• Before:Before: t0 and tmax as the starting and final point of the t distribution => very critical and affecting the achievable precision Time window: t0 t0 ≤≤ t ≤ tmax t ≤ tmax
• Now:Now: t0 and tmax values from the FermiDirac fit (bending points of the rising and falling edge resp.) Time window: (t0 – 20ns) ≤ t ≤ (tmax+40ns)(t0 – 20ns) ≤ t ≤ (tmax+40ns)
Integration method
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• R(t) as input for the tracking program (Athena)• our R(t)• R(t) obtained with Calib program
Tracking with Athena
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# of segments <=2
our R(t)
R(t) Calib
R (mm)
resid
ual (
mm
)
PRELIMINAR
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- The method performs very well if the distribution used is appropriate for the sample to be analyzed
- R(t) relation determined applying the distribution from X5 data to the inclusive time spectrum from H8 2004 data:
- tracking highlights remaining problems, especially in the region abs(R)~ 10mm => to be investigatedto be investigated
- Waiting to be able to quantify the number of delta rays in the H8 data we could use the R(t) relation from Calib to determine the distribution once for all
Conclusions
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Supporting plotsSupporting plots
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∆R = R(t+∆t) - R(t)
∆t = 1 ns
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X5 data - RTRUE (t)
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- distribution integral (X5)
- inclusive t distribution integral (H8)
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# of segments – BIL(2 multilayers)
10000 events
216
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R(t) Calib
R(mm) vs t (ns)t (ns)
R (mm)
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residual (mm)residual (mm) vs R(mm)
residual (mm) vs R (mm)
# of segments <=2
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our R(t)
R(mm) vs t (ns)t (ns)
R (mm)
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residual (mm) residual (mm) vs R(mm)
residual (mm) vs R (mm)
# of segments <=2