IEKP - KIT
T0-Estimation using CDC Drift Circles and EventT0 dataobject.
F2F Tracking Meeting Hamburg. Nils Braun (based on work by Tobias Schl¨ uter) | 23.11.2016 www.kit.edu
T 0 -Estimation using CDC Drift Circles and EventT0 dataobject. F2F - - PowerPoint PPT Presentation
T 0 -Estimation using CDC Drift Circles and EventT0 dataobject. F2F Tracking Meeting Hamburg. uter) | 23.11.2016 Nils Braun (based on work by Tobias Schl IEKP - KIT www.kit.edu Motivation In the normal mode, we will have a bunch-Crossing
IEKP - KIT
F2F Tracking Meeting Hamburg. Nils Braun (based on work by Tobias Schl¨ uter) | 23.11.2016 www.kit.edu
TOP (very good time resolution, but needs tracks in TOP . Not present in Cosmics test). L1-Trigger (trigger jitter approx. 10 ns, 20 ns in worst case. Distribution?) CDC (Measuring drift circles is anyway a time measurement)
T0-Estimation using CDC Drift Circles and EventT0 dataobject. - Nils Braun 23.11.2016 2/9
What Does a Drift Chamber Measure?
Tobias Schlüter Event Time from Tracks 2 / 11 December 17, 2015
Measurement Procedure
▶ passing charged particle ionizes gas ▶ gas cloud collapses on wire ▶ difference
𝑈(passage of particle) − 𝑈(collapse) gives distance of passage
How do we know the passage time?
Usually:
▶ Starting time of the track is evaluated ▶ 𝑈(Passage) =Track Length / Velocity
A drift chamber is a device that measures time, positions are inferred.
T0-Estimation using CDC Drift Circles and EventT0 dataobject. - Nils Braun 23.11.2016 3/9
What Happens if the Time is Badly Known?
Tobias Schlüter Event Time from Tracks 3 / 11 December 17, 2015
The simplest case, straight lines, all hits on one side.
Correct Timing Passage Time Underestimated
▶ position measurement depends on the evaluated drift time ▶ In this simple case a bias in time leads to bias in position.
T0-Estimation using CDC Drift Circles and EventT0 dataobject. - Nils Braun 23.11.2016 3/9
Time Alignment
Tobias Schlüter Event Time from Tracks 5 / 11 December 17, 2015
Tracking problem: 𝜓2 =
hits i
(𝑛𝑗 − 𝐼𝑗𝑡)𝑈𝑆−1
𝑗 (𝑛𝑗 − 𝐼𝑗𝑡) = min
Minimize the distance between the measurements 𝑛𝑗 and the projections 𝐼𝑗 of the track parameters 𝑡, i.e. the residuals 𝑠, weighted by the residual covariances 𝑆𝑗 = 𝑊𝑗 − 𝐼𝑗𝐷𝐼𝑈
𝑗
(𝑊𝑗 measurement covariance, 𝐷 covariance of track params) Alignment problem: 𝜓2 =
tracks 𝑙
hits 𝑗
(𝑛𝑗𝑙(𝑏) − 𝐼𝑗𝑙𝑡𝑙)𝑈𝑆−1
𝑗𝑙 (𝑛𝑗𝑙(𝑏) − 𝐼𝑗𝑙𝑡𝑙) = min
Find the track parameters 𝑡𝑙 and the set of alignement parameters 𝑏 that simultaneously minimize this 𝜓2.
T0-Estimation using CDC Drift Circles and EventT0 dataobject. - Nils Braun 23.11.2016 3/9
T0-Estimation using CDC Drift Circles and EventT0 dataobject. - Nils Braun 23.11.2016 4/9
T0-Estimation using CDC Drift Circles and EventT0 dataobject. - Nils Braun 23.11.2016 5/9
T0-Estimation using CDC Drift Circles and EventT0 dataobject. - Nils Braun 23.11.2016 6/9
T0-Estimation using CDC Drift Circles and EventT0 dataobject. - Nils Braun 23.11.2016 7/9
T0-Estimation using CDC Drift Circles and EventT0 dataobject. - Nils Braun 23.11.2016 9/9