bgv vertex resolution first analysis vertex resolution as function of aperture
DESCRIPTION
BGV Vertex Resolution First Analysis Vertex Resolution as Function of Aperture. M. Kuhn, P. Hopchev. Introduction. a im at 0.2 aim at 10 %. Actual transverse beam size for Gaussian shaped beams is broadened by vertex resolution When : goal for final BGV! Motivation: - PowerPoint PPT PresentationTRANSCRIPT
LHC
BGV Vertex Resolution First Analysis
Vertex Resolution as Function of Aperture
M. Kuhn, P. Hopchev
Maria Kuhn - BGV Meeting #20 - 25.9.2013
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Introductiono Actual transverse beam size for Gaussian shaped beams
is broadened by vertex resolution
o When : goal for final BGV!
o Motivation:
− Measurement at 7 TeV most challenging, as the beam is smallest
− Goal of initial BGV system: demonstrate the principle
• vertex resolution ~7 TeV beam (150-200 mm) would be sufficient
o Analyse vertex resolution as function of
− Beam pipe radius: 23 mm, 21 mm and 19 mm aperture
− Exit window tapering angle: 45º and 75º
Maria Kuhn - BGV Meeting #20 - 25.9.2013
aim at 0.2 aim at 10 %
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Input for MC Simulation and Vertex Reconstruction
o See talk in BGV meeting #17 (14/08/2013)
− Proton beam – neon gas target interactions simulated with HIJING
− Flat distribution of events in z-range [-500;1100] mm
− Process ~ 73000 events with large number of high multiplicity tracks
o 2 detector modules at z = 1591 mm and z = 2611 mm with 2 space point measurements per station
− Variable exit window thickness
• Thickness with R = 23 mm : 0.75 mm, thickness with R = 106 mm: 3.5 mm, linear interpolation in between
Maria Kuhn - BGV Meeting #20 - 25.9.2013
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BGV sche-matic detector layout
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o Vertex Resolution improves with track multiplicity (NTr)
− When measuring the beam profile, select events with high #tracks
o What is the expected rate, where we should cut on the NTr?
o Determine total inelastic interaction rate per bunch:
− Assuming: 2808 bunches per beam ()
• Ne gas flat over (gas target length)
• (0.45/7 TeV)
Cut on Track Multiplicity NTr (I)
4Maria Kuhn - BGV Meeting #20 - 25.9.2013
P. Hopchev
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Cut on Track Multiplicity NTr (II)
o Freduct indicates what fraction of the events is needed to retain in order to get 200/20000 events per 3 min
− i.e. to get 5/0.5 % statistical error on the beam profile fit (assuming Gaussian)
o Subsequently, we can tell what NTr can be reached
− Caveat: large uncertainty associated to the distribution tails (when a very small fraction of events is selected)
5Maria Kuhn - BGV Meeting #20 - 25.9.2013
P. Hopchev
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Cut on Track Multiplicity NTr (III)o Guidelines for BGV vertex resolution study with toy MC:
− For detector layout with SciFi modules cut-out of 65 mm
− Choose only events with high track multiplicity
− For bunch measurements: NTr ≥ 11 (0.45 TeV); NTr ≥ 18 (7 TeV)
− For beam measurements: NTr ≥ 15 (0.45 TeV); NTr ≥ 25 (7 TeV)
o In the following:
− Estimates of the relative uncertainty on the beam width at 7 TeV
(always worse than at 450 GeV, because transverse beam size is smaller)
• As function of aperture
• And for different tapering angles
6Maria Kuhn - BGV Meeting #20 - 25.9.2013
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Vertex Resolution Definitiono Define and track true MC vertex xMC with BGV toy MC Simulation
− Sort events per number of tracks/vertex (NTr)
o Reconstruct primary vertex with LHCb algorithm xrec
o For each NTr plot histogram with residuals: xMC – xrec
o Fit histogram with 3 parameter Gauss Function to obtain s
Maria Kuhn - BGV Meeting #20 - 25.9.2013
= s vertex resolution
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Vertex Resolution versus NTr
o Divide original vertices from MC simulation in 4 z-position intervals
− [-500;-100], [-100;300], [300,700], [700,1100] mm
− Sort residuals accordinglyo Fit the x and y resolution with function:
− Fit convergences very sensitive to the initially given parameter values need to improve fitting method
Maria Kuhn - BGV Meeting #20 - 25.9.2013
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Maria Kuhn - BGV Meeting #20 - 25.9.2013
Vertex Resolution versus NTr (II)
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Vertex Resolution versus NTr (III)
o Repeated vertex resolution calculation for all apertures with 75º tapering angle
− “Nominal” aperture (23mm)
− 2 mm reduced aperture (21 mm)
− 4 mm reduced aperture (19 mm)
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Maria Kuhn - BGV Meeting #20 - 25.9.2013
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Weighted Vertex Resolution
o Choose events with NTr ≥ 18
o Weighted resolution:
− With and weights
o Vertex resolution improves when going closer to detector
− But less high-multiplicity events
Maria Kuhn - BGV Meeting #20 - 25.9.2013
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detector
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Summary Resolution for NTr ≥ 18o Comparison of weighted vertex resolution for different
apertures
− resolution error obtained from Gauss fit of histogram (statistical)
o Choose events with NTr ≥ 18
− Weighted vertex resolution for each NTr ≥ 18
− Results for x and y resolutions are similar, quoting the average of x and y
− To do: get resolution from curve fit and not from histogram
Maria Kuhn - BGV Meeting #20 - 25.9.2013
z range[mm]
Weighted resolution
“Nominal” aperture (23 mm)
2 mm reduced aperture (21 mm)
4 mm reduced aperture(19 mm)
700;1100 svtx [mm] 178 ± 6 164 ± 9 147 ± 10
300;700 svtx [mm] 192 ± 5 175 ± 5 165 ± 5
-100;300 svtx [mm] 192 ± 6 183 ± 5 175 ± 5
-500;-100 svtx [mm] 200 ± 6 187 ± 6 180 ± 5
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Conclusion - enorm = 1 mmo Reminder: with
o at 7 TeV for enorm = 1 mm & b = 170 m
Maria Kuhn - BGV Meeting #20 - 25.9.2013
z range[mm]
“Nominal” aperture (23 mm)
2 mm reduced aperture (21 mm)
4 mm reduced aperture(19 mm)
700;1100 0.141 0.119 0.096
300;700 0.163 0.136 0.120
-100;300 0.164 0.148 0.136
-500;-1000.176 0.154 0.144
Gain 10 – 15 % 20 – 30 %
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Conclusion - different enorm
o for enorm = 1.5 [2.,2.5] mm
− 7 TeV & b = 170 m
o Average over z range from [-500;700] mm (discard first z bin)
Maria Kuhn - BGV Meeting #20 - 25.9.2013
e [mm]
“Nominal” aperture (23 mm)
2 mm reduced aperture (21 mm)
4 mm reduced aperture(19 mm)
1.0 0.168 0.146 0.133
1.5 0.116 0.102 0.09
2.0 0.085 0.075 0.068
2.5 0.065 0.057 0.052
Gain 10 – 15 % 20 – 30 %
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Maria Kuhn - BGV Meeting #20 - 25.9.2013
for Different Emittanceso Relative uncertainty on the transverse beam size
− See table on previous slide
o Better accuracy for larger transverse beam sizes
o Smaller relative beam size uncertainty for smaller aperture
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Vertex Resolution for 45º Tapering Angle
o Repeated these studies with different tapering angle
− 45º instead of 75º
− 23 mm aperture
− NTr ≥ 18
o Conclusions:
− For every z-position interval the vertex resolution is worse for the smaller tapering angle
− The relative uncertainty of the measured beam size improves by 9 % when choosing a larger tapering angle (75º)
• Again assuming
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Maria Kuhn - BGV Meeting #20 - 25.9.2013
P. Hopchev
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Summaryo The expected vertex resolution is estimated from the BGV toy
MC
− For 3 different apertures: 23 mm, 21 mm, 19 mm (75º tapering angle)
− And for 2 different tapering angles: 45º and 75º (23 mm aperture)
o The improvements on are
− 10 – 15 % better resolution for 2 mm reduced aperture
− 20 – 30 % better resolution for 4 mm reduced aperture
• With respect to 23 mm aperture
− 9 % better resolution for 75º tapering angle
• With respect to 45º
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Maria Kuhn - BGV Meeting #20 - 25.9.2013
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Additional Slides
Maria Kuhn - BGV Meeting #20 - 25.9.2013
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Maria Kuhn - BGV Meeting #20 - 25.9.2013
Vertex Resolution for 2 mm Reduced Aperture
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Maria Kuhn - BGV Meeting #20 - 25.9.2013
Vertex Resolution for 2 mm Reduced Aperture
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Maria Kuhn - BGV Meeting #20 - 25.9.2013
Vertex Resolution for 4 mm Reduced Aperture
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Maria Kuhn - BGV Meeting #20 - 25.9.2013
Vertex Resolution for 4 mm Reduced Aperture
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Vertex Resolution Nominal Aperture
o Scatter plot: vertex resolution per z and #tracks bin
− Colour represents vertex resolution for x and y position
− Circle size represents #events per bin (see previous slide)
o Best x and y vertex resolution for large #tracks!o Weighted resolution =
Maria Kuhn - BGV Meeting #20 - 25.9.2013
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Nominal aperture = 23 mm
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2mm Reduced Apertureo Aperture = 21 mm
o Vertex resolution improves
Maria Kuhn - BGV Meeting #20 - 25.9.2013
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4 mm Reduced Apertureo Aperture = 19 mm
o Vertex resolution even better
Maria Kuhn - BGV Meeting #20 - 25.9.2013
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NTr ≥ 25
Maria Kuhn - BGV Meeting #20 - 25.9.2013
Not very useful to analyse – not enough statistics in high track multiplicity bin
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