Difference between revisions of "Mattione Update 09212011"

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(TOF Time Uncertainty)
(TOF X Uncertainty)
 
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* PLAN: I'm comparing the generated and reconstructed track parameters in the TOF, BCAL, and FCAL systems to determine the uncertainties.   
 
* PLAN: I'm comparing the generated and reconstructed track parameters in the TOF, BCAL, and FCAL systems to determine the uncertainties.   
  
* STATUS: TOF Uncertainties are below.  
+
* STATUS: TOF Uncertainties are below.
 
+
  
 
== TOF Time Uncertainty ==
 
== TOF Time Uncertainty ==
  
* &pi;<sup>-</sup> Hits in both TOF planes, &Delta;t vs. X, Y, average dE
+
=== &pi;<sup>-</sup> hits in both TOF planes ===
[[Image:Mattione_Update_09212011_TOF_DeltaTVsX.gif|thumb|left|300px]]
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* &Delta;t vs. x, y, average dE
[[Image:Mattione_Update_09212011_TOF_DeltaTVsY.gif|thumb|left|300px]]
+
[[Image:Mattione_Update_09212011_TOF_DeltaTVsX.gif|thumb|left|300px|&Delta;t vs. x]]
[[Image:Mattione_Update_09212011_TOF_DeltaTVsdE.gif|thumb|left|300px]]
+
[[Image:Mattione_Update_09212011_TOF_DeltaTVsY.gif|thumb|left|300px|&Delta;t vs. y]]
 +
[[Image:Mattione_Update_09212011_TOF_DeltaTVsdE.gif|thumb|left|300px|&Delta;t vs. avg. dE]]
 
<br style="clear:both;"/>
 
<br style="clear:both;"/>
  
* Next, the above histogram was fit to Gaussian functions, and the uncertainties are plotted with the points below.  The function shows the FCAL shower energy uncertainty as currently used in the reconstruction code.   
+
* Fit the &Delta;t distributions to Gaussian functions, &sigma;<sub>t</sub>'s are fit below.   
[[Image:Mattione_Update_09212011_TOF_SigmaTVsX.gif|thumb|left|600px|Points: Fits to MC, Function: Current Uncertainty]]
+
[[Image:Mattione_Update_09212011_TOF_SigmaTVsX.gif|thumb|left|300px|&sigma;<sub>t</sub> vs. x]]
 +
[[Image:Mattione_Update_09212011_TOF_SigmaTVsY.gif|thumb|left|300px|&sigma;<sub>t</sub> vs. y]]
 +
[[Image:Mattione_Update_09212011_TOF_SigmaTVsdE.gif|thumb|left|300px|&sigma;<sub>t</sub> vs. avg. dE]]
 
<br style="clear:both;"/>
 
<br style="clear:both;"/>
 +
 +
=== &pi;<sup>-</sup> hit only in the horizontal plane ===
 +
* &Delta;t vs. x, y, dE
 +
[[Image:Mattione_Update_09212011_TOF_DeltaTVsX_Horizontal.gif|thumb|left|300px|&Delta;t vs. x]]
 +
[[Image:Mattione_Update_09212011_TOF_DeltaTVsdE_Horizontal.gif|thumb|left|300px|&Delta;t vs. dE]]
 +
<br style="clear:both;"/>
 +
 +
* Fit the &Delta;t distributions to Gaussian functions, &sigma;<sub>t</sub>'s are fit below. 
 +
[[Image:Mattione_Update_09212011_TOF_SigmaTVsX_Horizontal.gif|thumb|left|300px|&sigma;<sub>t</sub> vs. x]]
 +
[[Image:Mattione_Update_09212011_TOF_SigmaTVsdE_Horizontal.gif|thumb|left|300px|&sigma;<sub>t</sub> vs. dE]]
 +
<br style="clear:both;"/>
 +
 +
=== &pi;<sup>-</sup> hit only in the vertical plane ===
 +
* &Delta;t vs. x, y, dE
 +
[[Image:Mattione_Update_09212011_TOF_DeltaTVsY_Vertical.gif|thumb|left|300px|&Delta;t vs. y]]
 +
[[Image:Mattione_Update_09212011_TOF_DeltaTVsdE_Vertical.gif|thumb|left|300px|&Delta;t vs. dE]]
 +
<br style="clear:both;"/>
 +
 +
* Fit the &Delta;t distributions to Gaussian functions, &sigma;<sub>t</sub>'s are fit below. 
 +
[[Image:Mattione_Update_09212011_TOF_SigmaTVsY_Vertical.gif|thumb|left|300px|&sigma;<sub>t</sub> vs. y]]
 +
[[Image:Mattione_Update_09212011_TOF_SigmaTVsdE_Vertical.gif|thumb|left|300px|&sigma;<sub>t</sub> vs. dE]]
 +
<br style="clear:both;"/>
 +
 +
== TOF Deposited Energy Uncertainty ==
 +
 +
=== &pi;<sup>-</sup> hits in both TOF planes ===
 +
* &Delta;dE (Measured Average - Most Probable) vs. Most Probable (NOT True) dE
 +
[[Image:Mattione_Update_09212011_TOF_DeltadEVsProbabledE.gif|thumb|left|500px|&Delta;dE vs. Most Probable dE]]
 +
* &Delta;dE (Measured Average - Most Probable) vs. Measured Average dE
 +
[[Image:Mattione_Update_09212011_TOF_DeltadEVsAvgdE.gif|thumb|left|500px|&Delta;dE vs. Measured Avg. dE]]
 +
<br style="clear:both;"/>
 +
 +
* Most probable deposited energy calculated via Equation 27.10 in Section 27.2.7 of the [http://pdg.lbl.gov/2011/reviews/rpp2011-rev-passage-particles-matter.pdf RPP]. 
 +
 +
* Perhaps the best way to do it is to look at the dE distribution as a function of track &beta;&gamma;, and get the uncertainty from the width of that distribution.  How would the energy uncertainty be calibrated using real data?
 +
 +
== TOF X Uncertainty ==
 +
 +
=== &pi;<sup>-</sup> hits in both TOF planes ===
 +
* &Delta;x vs. x
 +
[[Image:Mattione_Update_09212011_TOF_DeltaXVsX.gif|thumb|left|500px|&Delta;x vs. x]]
 +
<br style="clear:both;"/>
 +
 +
* Fit the &Delta;x distributions to Gaussian functions, means are shown below. 
 +
[[Image:Mattione_Update_09212011_TOF_MeanXVsX.gif|thumb|left|500px|&mu;<sub>x</sub> vs. x]]
 +
<br style="clear:both;"/>
 +
 +
* I'm not sure, but I think the skews may be due to the cut used to identify when the hits matched between planes.

Latest revision as of 13:31, 21 September 2011

Summary

  • OBJECTIVE: I'm updating the reconstruction uncertainties to improve the particle-ID algorithms and support the kinematic fitting analyses.
  • PLAN: I'm comparing the generated and reconstructed track parameters in the TOF, BCAL, and FCAL systems to determine the uncertainties.
  • STATUS: TOF Uncertainties are below.

TOF Time Uncertainty

π- hits in both TOF planes

  • Δt vs. x, y, average dE
Δt vs. x
Δt vs. y
Δt vs. avg. dE


  • Fit the Δt distributions to Gaussian functions, σt's are fit below.
σt vs. x
σt vs. y
σt vs. avg. dE


π- hit only in the horizontal plane

  • Δt vs. x, y, dE
Δt vs. x
Δt vs. dE


  • Fit the Δt distributions to Gaussian functions, σt's are fit below.
σt vs. x
σt vs. dE


π- hit only in the vertical plane

  • Δt vs. x, y, dE
Δt vs. y
Δt vs. dE


  • Fit the Δt distributions to Gaussian functions, σt's are fit below.
σt vs. y
σt vs. dE


TOF Deposited Energy Uncertainty

π- hits in both TOF planes

  • ΔdE (Measured Average - Most Probable) vs. Most Probable (NOT True) dE
ΔdE vs. Most Probable dE
  • ΔdE (Measured Average - Most Probable) vs. Measured Average dE
ΔdE vs. Measured Avg. dE


  • Most probable deposited energy calculated via Equation 27.10 in Section 27.2.7 of the RPP.
  • Perhaps the best way to do it is to look at the dE distribution as a function of track βγ, and get the uncertainty from the width of that distribution. How would the energy uncertainty be calibrated using real data?

TOF X Uncertainty

π- hits in both TOF planes

  • Δx vs. x
Δx vs. x


  • Fit the Δx distributions to Gaussian functions, means are shown below.
μx vs. x


  • I'm not sure, but I think the skews may be due to the cut used to identify when the hits matched between planes.