Difference: ImpactParameterResolution (2 vs. 3)

Revision 32009-03-25 - AndreasMoll

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META TOPICPARENT name="SuperBelleOptimization"

Definition

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  The impact parameter resolution studies presented here were done for the parameters d0 and z0 using the software tools MOKKA and Marlin.
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Muon gun

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The detector response of the SBelle detector consisting of the subdetectors PXD, CDC and SVD was simulated using a particle gun. The particles fired were μ+ having uniformly distributed φ angles in the range [-180°, 180°]. The different θ angles and energies used are given in the following table:
 
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  • phi is isotropic
  • theta and energy are as follows:

Angle 0.1 [GeV] 0.2 [GeV] 0.4 [GeV] 0.6 [GeV] 0.8 [GeV] 1.0 [GeV] 2.0 [GeV]
20°              
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  0.1 [GeV] 0.2 [GeV] 0.4 [GeV] 0.6 [GeV] 0.8 [GeV] 1.0 [GeV] 2.0 [GeV]
20° Warning, important Not used, slanted parts are not yet implemented in track fitting code
 
40° done done done done done done done
60° done done done done done done done
80° done done done done done done done
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Detector Models are summarized here: ImpactParameter Resolution
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The various detector models simulated with MOKKA are summarized here: Detector Models

The hits which were created by MOKKA in the three subdetectors are then digitized in Marlin using highly advanced algorithms. For the PXD and CDC a newly developed pixel vertex digitizer and for the SVD a slightly modified version of the original ILD TPC digitizer is used. After digitization, a tracking procedure and a Kalman based fit are applied. The result are tracks carrying the required impact parameter information.

Analysis

For each track the impact parameters d0 and z0 are stored in a ROOT tree and saved as a ROOT file. Therefore, for each θ angle, energy and detector model a separate ROOT file is created. Then, the parameters d0 / z0 are taken from a ROOT file and filled into a histogram. According to A. Raspereza the impact parameter resolution is defined as the RMS90 value of an impact parameter. The RMS90 values for the d0-histogram and the z0-histogram are calculated by starting with the mean value of a given histogram and expanding the range until 90% of all events are contained within this range. The histogram is re-filled using the found range and its RMS value is calculated.

The impact parameter resolution is parameterized as follows:

  • for d0: a + b / (E sin(θ)3/2)
  • for z0: a + b / (E sin(θ)5/2)

where a and b are free parameters, E is the energy of the particle and θ its angle.

 

Results for SuperBelle and SuperBelle Upgrade

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The impact parameter resolutions for all possible combinations of angles and energies of a given model and a given impact parameter are inserted into a common graph with the x-axis being E sin(θ)3/2 for the d0 case and E sin(θ)5/2 for the z0 case. The graph is then fitted using the impact parameter resolution functions defined above in order to extract the values for a and b. The second row of plots shown below for each model represents the result of this procedure. The pink curve represents the BELLE experiment impact parameter resolution for reference purposes, where the required parameters a and b were taken from the Belle Note 715.
The values of a and b extracted from the fit, are then used to draw the curves shown in the first row of plots for each model. A combined plot of all fitted impact parameter functions for all models is shown in the last two pictures of this topic.

SuperBelle, constant pixel size, 800 pixels, support structure 10mm

TrkSBelle_CPS800_SUP10_ImpactParameterD0.png TrkSBelle_CPS800_SUP10_ImpactParameterZ0.png

TrkSBelle_CPS800_SUP10_ImpactParameterFitD0.png TrkSBelle_CPS800_SUP10_ImpactParameterFitZ0.png

SuperBelle, constant pixel size, 1000 pixels, support structure 10mm

TrkSBelle_CPS1000_SUP10_ImpactParameterD0.png TrkSBelle_CPS1000_SUP10_ImpactParameterZ0.png

TrkSBelle_CPS1000_SUP10_ImpactParameterFitD0.png TrkSBelle_CPS1000_SUP10_ImpactParameterFitZ0.png

SuperBelle, constant pixel size, 1600 pixels, support structure 10mm

TrkSBelle_CPS1600_SUP10_ImpactParameterD0.png TrkSBelle_CPS1600_SUP10_ImpactParameterZ0.png

TrkSBelle_CPS1600_SUP10_ImpactParameterFitD0.png TrkSBelle_CPS1600_SUP10_ImpactParameterFitZ0.png

SuperBelle, constant pixel size, 2000 pixels, support structure 10mm

TrkSBelle_CPS2000_SUP10_ImpactParameterD0.png TrkSBelle_CPS2000_SUP10_ImpactParameterZ0.png

TrkSBelle_CPS2000_SUP10_ImpactParameterFitD0.png TrkSBelle_CPS2000_SUP10_ImpactParameterFitZ0.png

SuperBelle Upgrade, constant pixel size, 800 pixels, support structure 10mm

TrkSBelleUpgr_CPS800_SUP10_ImpactParameterD0.png TrkSBelleUpgr_CPS800_SUP10_ImpactParameterZ0.png

TrkSBelleUpgr_CPS800_SUP10_ImpactParameterFitD0.png TrkSBelleUpgr_CPS800_SUP10_ImpactParameterFitZ0.png

SuperBelle Upgrade, constant pixel size, 1000 pixels, support structure 10mm

TrkSBelleUpgr_CPS1000_SUP10_ImpactParameterD0.png TrkSBelleUpgr_CPS1000_SUP10_ImpactParameterZ0.png

TrkSBelleUpgr_CPS1000_SUP10_ImpactParameterFitD0.png TrkSBelleUpgr_CPS1000_SUP10_ImpactParameterFitZ0.png

Impact parameter resolution for all models merged into one single plot

ImpactParameterFunctionModelsD0.png ImpactParameterFunctionModelsZ0.png

  -- AndreasMoll - 20 Mar 2009
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META FILEATTACHMENT attr="" autoattached="1" comment="z impact parameter for TrkSBelle_CPS1600_SUP10" date="1237989288" name="TrkSBelle_CPS1600_SUP10_ImpactParameterZ0.png" path="TrkSBelle_CPS1600_SUP10_ImpactParameterZ0.png" size="42115" user="Main.AndreasMoll" version="1"
 
META FILEATTACHMENT attr="h" autoattached="1" comment="Projection of a track helix segment in the xy plane" date="1237541714" name="LCIOTrackDefinition.png" path="LCIOTrackDefinition.png" size="17995" user="Main.AndreasMoll" version="1"
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META FILEATTACHMENT attr="" autoattached="1" comment="impact parameter resolution d0 for TrkSBelle_CPS1000_SUP10" date="1237989114" name="TrkSBelle_CPS1000_SUP10_ImpactParameterFitD0.png" path="TrkSBelle_CPS1000_SUP10_ImpactParameterFitD0.png" size="37905" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="impact parameter resolution z0 for TrkSBelle_CPS2000_SUP10" date="1237989526" name="TrkSBelle_CPS2000_SUP10_ImpactParameterFitZ0.png" path="TrkSBelle_CPS2000_SUP10_ImpactParameterFitZ0.png" size="38055" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="z impact parameter for TrkSBelleUpgr_CPS1000_SUP10" date="1237988359" name="TrkSBelleUpgr_CPS1000_SUP10_ImpactParameterZ0.png" path="TrkSBelleUpgr_CPS1000_SUP10_ImpactParameterZ0.png" size="41812" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="r-phi impact parameter for TrkSBelle_CPS800_SUP10" date="1237988802" name="TrkSBelle_CPS800_SUP10_ImpactParameterD0.png" path="TrkSBelle_CPS800_SUP10_ImpactParameterD0.png" size="41814" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="r-phi impact parameter for TrkSBelle_CPS1600_SUP10" date="1237989262" name="TrkSBelle_CPS1600_SUP10_ImpactParameterD0.png" path="TrkSBelle_CPS1600_SUP10_ImpactParameterD0.png" size="41720" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="r-phi impact parameter for TrkSBelleUpgr_CPS1000_SUP10" date="1237988330" name="TrkSBelleUpgr_CPS1000_SUP10_ImpactParameterD0.png" path="TrkSBelleUpgr_CPS1000_SUP10_ImpactParameterD0.png" size="41965" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="mpact parameter resolution d0 for TrkSBelle_CPS800_SUP10" date="1237988850" name="TrkSBelle_CPS800_SUP10_ImpactParameterFitD0.png" path="TrkSBelle_CPS800_SUP10_ImpactParameterFitD0.png" size="38456" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="z impact parameter for TrkSBelle_CPS2000_SUP10" date="1237989465" name="TrkSBelle_CPS2000_SUP10_ImpactParameterZ0.png" path="TrkSBelle_CPS2000_SUP10_ImpactParameterZ0.png" size="42334" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="z impact parameter for TrkSBelle_CPS1000_SUP10" date="1237989087" name="TrkSBelle_CPS1000_SUP10_ImpactParameterZ0.png" path="TrkSBelle_CPS1000_SUP10_ImpactParameterZ0.png" size="41782" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="r-phi impact parameter for TrkSBelleUpgr_CPS800_SUP10" date="1237987070" name="TrkSBelleUpgr_CPS800_SUP10_ImpactParameterD0.png" path="TrkSBelleUpgr_CPS800_SUP10_ImpactParameterD0.png" size="42180" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="z impact parameter for TrkSBelle_CPS800_SUP10" date="1237988825" name="TrkSBelle_CPS800_SUP10_ImpactParameterZ0.png" path="TrkSBelle_CPS800_SUP10_ImpactParameterZ0.png" size="41263" user="Main.AndreasMoll" version="1"
 
META FILEATTACHMENT attr="" autoattached="1" comment="Projection of a track helix segment in the xy plane" date="1237544115" name="LCIOTrackDefinitionXY.png" path="LCIOTrackDefinitionXY.png" size="17995" user="Main.AndreasMoll" version="1"
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META FILEATTACHMENT attr="" autoattached="1" comment="Impact parameter resolution z0 for all models" date="1237990011" name="ImpactParameterFunctionModelsZ0.png" path="ImpactParameterFunctionModelsZ0.png" size="43970" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="r-phi impact parameter for TrkSBelle_CPS2000_SUP10" date="1237989441" name="TrkSBelle_CPS2000_SUP10_ImpactParameterD0.png" path="TrkSBelle_CPS2000_SUP10_ImpactParameterD0.png" size="41406" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="z impact parameter for TrkSBelleUpgr_CPS800_SUP10" date="1237987130" name="TrkSBelleUpgr_CPS800_SUP10_ImpactParameterZ0.png" path="TrkSBelleUpgr_CPS800_SUP10_ImpactParameterZ0.png" size="41547" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="impact parameter resolution z0 for TrkSBelleUpgr_CPS1000_SUP10" date="1237988447" name="TrkSBelleUpgr_CPS1000_SUP10_ImpactParameterFitZ0.png" path="TrkSBelleUpgr_CPS1000_SUP10_ImpactParameterFitZ0.png" size="37623" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="Impact parameter resolution d0 for all models" date="1237989986" name="ImpactParameterFunctionModelsD0.png" path="ImpactParameterFunctionModelsD0.png" size="42099" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="r-phi impact parameter for TrkSBelle_CPS1000_SUP10" date="1237989053" name="TrkSBelle_CPS1000_SUP10_ImpactParameterD0.png" path="TrkSBelle_CPS1000_SUP10_ImpactParameterD0.png" size="41326" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="impact parameter resolution d0 for TrkSBelle_CPS2000_SUP10" date="1237989500" name="TrkSBelle_CPS2000_SUP10_ImpactParameterFitD0.png" path="TrkSBelle_CPS2000_SUP10_ImpactParameterFitD0.png" size="38165" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="impact parameter resolution z0 for TrkSBelle_CPS1000_SUP10" date="1237989144" name="TrkSBelle_CPS1000_SUP10_ImpactParameterFitZ0.png" path="TrkSBelle_CPS1000_SUP10_ImpactParameterFitZ0.png" size="37799" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="impact parameter resolution d0 for TrkSBelleUpgr_CPS1000_SUP10" date="1237988387" name="TrkSBelleUpgr_CPS1000_SUP10_ImpactParameterFitD0.png" path="TrkSBelleUpgr_CPS1000_SUP10_ImpactParameterFitD0.png" size="37787" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="impact parameter resolution z0 for TrkSBelle_CPS800_SUP10" date="1237988876" name="TrkSBelle_CPS800_SUP10_ImpactParameterFitZ0.png" path="TrkSBelle_CPS800_SUP10_ImpactParameterFitZ0.png" size="37908" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="impact parameter resolution z0 for TrkSBelle_CPS1600_SUP10" date="1237989337" name="TrkSBelle_CPS1600_SUP10_ImpactParameterFitZ0.png" path="TrkSBelle_CPS1600_SUP10_ImpactParameterFitZ0.png" size="37918" user="Main.AndreasMoll" version="1"
 
META FILEATTACHMENT attr="" autoattached="1" comment="Projection of a track helix in the sz plane" date="1237544219" name="LCIOTrackDefinitionZS.png" path="LCIOTrackDefinitionZS.png" size="12562" user="Main.AndreasMoll" version="1"
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META FILEATTACHMENT attr="" autoattached="1" comment="impact parameter resolution d0 for TrkSBelle_CPS1600_SUP10" date="1237989312" name="TrkSBelle_CPS1600_SUP10_ImpactParameterFitD0.png" path="TrkSBelle_CPS1600_SUP10_ImpactParameterFitD0.png" size="38163" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="impact parameter resolution z0 for TrkSBelleUpgr_CPS800_SUP10" date="1237987232" name="TrkSBelleUpgr_CPS800_SUP10_ImpactParameterFitZ0.png" path="TrkSBelleUpgr_CPS800_SUP10_ImpactParameterFitZ0.png" size="37511" user="Main.AndreasMoll" version="1"
META FILEATTACHMENT attr="" autoattached="1" comment="impact parameter resolution d0 for TrkSBelleUpgr_CPS800_SUP10" date="1237987185" name="TrkSBelleUpgr_CPS800_SUP10_ImpactParameterFitD0.png" path="TrkSBelleUpgr_CPS800_SUP10_ImpactParameterFitD0.png" size="37815" user="Main.AndreasMoll" version="1"
 
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