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R(t) Relations from inclusive MDT tubes drift time distributions -- update --. M. Barone Software and Anal y s i s Meeting ATLAS/Frascati LNF -- October 18, 2004. The Method. Use of the inclusive drift time spectrum to determine the R(t) relation,
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R(t) Relationsfrom inclusive MDT tubes drift time distributions-- update -- M.Barone Software and Analysis Meeting ATLAS/Frascati LNF -- October 18, 2004
The Method 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 is the distance of minimum approach of the • muon track to the sensing wire Watch out! Incorrect R-t association for events where delta-rays are produced R • RTRUE(t) = “correct” relation between t and R ( no delta-rays ) • Use of RTRUE(t) to determine the distributionthat hypothetically would correspond to the inclusive time distribution muon track LNF, 18/20/2004
Results from MonteCarlo (Garfield) • The method performs very well: precision < 10 microns • using two MonteCarlo samples with different gas mixture RTRUE (t) – R(t) Similar excellent performances expected even with real data, provided that the appropriate distribution is used LNF, 18/20/2004
Delta rays • Are delta-rays properly simulated by the Garfield program? Comparison of the delta-ray content: Garfield vs X5 data (with external tracker) % of delta-rays Garfield does not simulate delta-ray productionin the tube walls Use of X5 data to determine the distribution LNF, 18/20/2004
Procedure • distribution : • from X5 • inclusive time distribution t : • from H8 • R(t) = (t) • …………. Our usual procedure, but… R (mm) LNF, 18/20/2004
Integration method • Garfield shows that the method is very sensitive to • variations of the t0 • Before:t0 and tmax as the starting and final point of • the t distribution => very critical and affecting • the achievable precision • Time window:t0 ≤ t ≤ tmax • 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) LNF, 18/20/2004
Tracking with Athena • R(t) as input for the tracking program (Athena) • our R(t) • R(t) obtained with Calib program LNF, 18/20/2004
# of segments <=2 residual (mm) PRELIMINAR our R(t) R(t) Calib R (mm) LNF, 18/20/2004
Conclusions • The method performs very well if the distribution used is appropriate for the sample to be analyzed • R(t) relation determined applying thedistribution 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 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 LNF, 18/20/2004
Supporting plots LNF, 18/20/2004
∆R = R(t+∆t) - R(t) ∆t = 1 ns LNF, 18/20/2004
X5 data - RTRUE (t) LNF, 18/20/2004
inclusive t distribution • integral (H8) • distribution integral • (X5) LNF, 18/20/2004
# of segments – BIL (2 multilayers) 10000 events 216 LNF, 18/20/2004
t (ns) R(mm) vs t (ns) R (mm) R(t) Calib LNF, 18/20/2004
residual (mm) vs R(mm) residual (mm) residual (mm) vs R (mm) # of segments <=2 LNF, 18/20/2004
t (ns) R(mm) vs t (ns) R (mm) our R(t) LNF, 18/20/2004
residual (mm) vs R(mm) residual (mm) residual (mm) vs R (mm) # of segments <=2 LNF, 18/20/2004