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Calorimetry and particle identificationSummary of two selected HCPSS 2012 courses
R. Märki
EPFL - LPHE
8 October 2012
1/47 R. Märki Calorimetry and particle identification
Outline
I attended the 7th Annual Fermilab-CERN HCPSS in August 2012and I summarize two selected topics in this presentation.
Calorimetry
Advantages
Calorimeter types
Calibration
Examples
Particle identification
Principle
Strategy and complete example of CMS
More techniques
Efficiency and purity
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Calorimetry advantages
Who do calorimetry ?!
Pros:
Measure neutrals as well as charged particles
Resolution improves with particle energy
If hermetic, can be used to measure missing particles (eg.neutrinos)
Fast trigger
Cons:
Non-linear response
Must be BIG (hence expensive)
Needs non-trivial engineering for design, construction andsignal extraction
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Calorimetry advantages
Combined with tracking, the energy resolution is highlyimproved
Example of CMS:
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Material interactions
Particles interact in matter and deposit energy
Bethe-bloch for charged particles
Mean free path (or radiation length) important for calorimeterdesign
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Shower developpement
Example here: electrons
Longitudinal shower: several radiation lengths are needed tocompletely stop a particle.
Lateral shower: the so called Moliere radiusRM ∼ X0(21MeV /Ec) contains 90% of the electromagneticcascade, though there are long tails.
longitudinal lateral
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Sampling calorimeters
Only part of the deposited energy dE/dx is measured
The sampling fraction is defined as∑(dE/dx)active medium/
∑(dE/dx)absorber
The energy measurement is linear for an infinite detectorEparticle = k×(dE/dx)absorber/(dE/dx)active medium×
P(dE/dx)active medium
Number of particles in the shower is statistical but scales like:Nshower ∼ Eparticle/Ecritical
Energy deposition in the shower is a statistical processσE ∼ 1/
√Nshower → σE ∼ 1/
√Eparticle
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Homogeneous calorimeters
Commonly
Scintillator (solid and liquid)Liquid Argon
Less commonly
Gas proportional tubesSilicon
Example: CMS Lead-Tungstate Calorimeter - response to highenergy electrons
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Electromagnetic calorimeters
Both sampling and homogeneous are frequently used
Need fine granularity to distinguish photons from π0 forinstance, discussed more in PID part
Usually preshower with even finer granularity over 1-2 firstradiation lengths
In a sampling electromagnetic calorimeter, the samplingfraction changes in the shower
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Hadronic calorimeters
Hadronic calorimeters are usually sampling calorimeters
Hadron showers have a complex composition:
EM energy (eg π0 → γγ) : O(50%)Visible non-EM energy (eg dE/dX) : O(25%)Invisible non-EM energy (eg nuclear breakup) :O(25%)Escaped energy (eg ν) :O(1%)
Therefore the simulation is complicated as well
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Example of calorimeters - CDF
The sampling calorimeter of CDF
Lead absorber with sheets of plastic scintillator
The left picture was taken by myself this summer !
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Example of calorimeters - D0
Homogeneous calorimeter at D0
Uranium metal bathed in liquefied argon
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Example of calorimeters - ATLAS HCAL
ATLAS HCAL:
Sampling calorimeter
Absorber: steel
Scintillating tiles
8m diameter
12m long
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Example of calorimeters - ATLAS Argon
ATLAS ECAL (and HCAL in theforward region):
Sampling calorimeter
Absorber: lead and stainless steel
Liquid argon to sample
Accordeon shaped electrodes
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Example of calorimeters - CMS HCAL
CMS HCAL:
Sampling calorimeter
Absorber + plastic scintillator(scintillator plates 2m long)
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Example of calorimeters - CMS ECAL
Very famous and compactCMS ECAL
Homogeneous calorimeter
Lead tungstate (PbWO4)crystal tiles
Before: pre-showerlead / silicon strips
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Calorimeter calibration - ATLAS
Optical chain calibration:(in real time)
tiles with source (Cs137)
PMT with laser
readout electronics with test pulse
Aging effects can be measured and taken into account:
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Calorimeter calibration - CMS
Very first calibration in test beam
ECAL calibrated with electrons (and photons)
HCAL calibrated with π0 (normal incidence, no working ECAL in front)→ need for correction
The energy calibration is parametrized withE = a + b(p, η)ECAL + c(p, η)HCAL
a, b and c are determined with “isolated” tracks in minimum bias events
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Detector aging - CMS EM crystals
The aging can be monitored using the calibration methods seenbefore
Monitor using laser calibration system Response using E/p in W → eν
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Particle identification
Already in calorimeters there are different shower responses forelectrons and hadrons
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Particle identification
General detector response depending on particle
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Particle identification - example in CMS
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Particle identification - example in CMS
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Particle identification - example in CMS
During reconstruction the event is “cleaned” up:
1 Find and “remove” muons (σtrack)
2 Find and “remove” electrons ( min[σtrack , σECAL] )
3 Find and “remove” charged hadrons (σtrack)
4 Find and “remove” converted photons ( min[σtrack , σECAL] )
5 Find and “remove” V0’s (σtrack)
6 Find and “remove” photons (σECAL)
7 Left with neutral hadrons (10%) (σHCAL + fake)
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Particle identification - example in CMS
Link tracks to ECAL and HCAL
25 ECAL cells underneath each HCAL cell
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Particle identification - example in CMS
Top view helps to see the links
The captions correspond to what was simulated
What is actually reconstructed: γ, γ, γ, π+, π−
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Particle identification - example in ATLAS
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Particle identification - example in ATLAS
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Particle identification - when E � p
Few energy in calorimeter compared to measured momentumMainly due to muonsMuon ID very efficient, 98% in CMSThe resting 2% still contribute significantlyLooser muon cuts used but still many cases leftTrue origin: fake tracks and interactions in tracker material
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Particle identification - when E � p
Tracker acts like a pre-shower (silicon is heavy)
Has up to 2 radiation lengths for certain pseudo-rapidities
CMS ATLAS
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Particle identification - when E � p
Reduce hits progressively
Start from very pure track seeding
Remove used hits and start over with looser requirements
For charged hadrons: from 85% efficiency, 20% fake rate to93% efficiency, 1-2% fake rate
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Particle identification - Time of Flight
Measure time difference between two detector plane crossingsDifferent times for different particles of same momentumβ = d/c∆t and p = γmcβ → ∆t = dp/γmDifference very small for relativistic particlesExample for a 12m distance:10 GeV/c K → 40.05 ns10 GeV/c π → 40.00 nsOne needs to measure 50 ps difference for a 12m distancewhich is already a large scale
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Particle identification - Ionization
Particles lose energy according to the Bethe-Bloch formula
Energy loss depends on momentum and mass
If energy or momentum loss is measured, one candiscrimanate between particles
Hard to distinguish π and µ though, as their masses are veryclose
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Particle identification - Transition radiation
A charged particle flying into a medium with different n (ordifferent dielectric constant, as n =
√ε) will have its relative
velocity with respect to c ′ changed
This change results in the emission of transition radiation(photons)
Emitted energy proportional to the boost (γ) of the particle
Hence also quite good for high energy particles
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Particle identification - Cherenkov radiation
A charged particle having a velocity higher than c ′ emitsCherenkov radiation
The light is emitted in a cone, like the waves from amotorboat
The angle of the cone is proportional to the velocitycos(θc) = 1/βn
θC
(mra
d)
250
200
150
100
50
0
1 10 100
Momentum (GeV/c)
Aerogel
C4F10 gas
CF4 gas
eµ
p
K
π
242 mrad
53 mrad
32 mrad
θC max
Kπ
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Particle identification - Electron ID
Electrons radiate around 70% of the energy in the track bybremsstrahlung
Photons have > 50% chance to convert into e+e− pair
Hence, energy spreads in ϕ (⊥ to B)
Standart Kalman Filterpattern recognition gives upquickly
Need to account forBethe-Heitler energy loss(bremsstrahlung)
Use sum of Kalman Filters(Gaussian Sum Filter) toapproximate non-gaussianpart
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Particle identification - Electron ID
Very important to identify/recover bremsstrahlung photons
Otherwise their energy is counted twice:(in track + again in ECAL)
Holds also for electron pair converted bremsstrahlung photons
How it is done in CMS:
Check if tangent of trackpoints to ECAL cluster
Link cluster to track
Also test compatibilitybetween ECAL cluster E and∆p along GSF track
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Particle identification - Electron ID
BUT ! Everything that we have just seen can be used todiscrimanate between e and π for instance
π radiate much less, so one can:
count the number of hits linked to the tracklook at ∆pcount the number of bremsstrahlung γ associated to the tracklook at Ebremsstrahlunglook at shower shape along ϕ and ηlook at linked HCAL energy
Everything put into a MVA gives 95% efficiency for isolatedelectrons and 70-80% efficiency in jets
KS → π+π−
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Particle identification - Photon ID
If not converted, the only way to measure photons arecalorimeters
When looking at unconverted photons, everything known hasalready been “removed” from the event. Then:
Use fine segmentation to look at shower shapeUse isolation criteria
Clustering algorithm plays a big role (be sure that all energy islinked to the cluster !)
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Particle identification - Efficiency and purity
Assume ID is uncorrelated with isolation
The true number of photons among NA is equal toN(γ) = NA − backgroundThis background is NB ×MA/MBHence the purity is P = 1− NB/NA ×MA/MB
Efficiency can also be simulated
Or use tag and probe method
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Related physics results
The Higgs in H → γγ !
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Thank you for your attention
Backup slides
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CMS event
Massive Pile-up at CMS
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Material interactions in tracking system at CMS
Interaction vertices in the CMS tracker
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LHCb RICH PID
LHCb φ→ K+K− result from 2009 (√
s = 900GeV ) withoutand with RICH PID information
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Tag and probe muons at CMS
Fit J/ψ mass for dimuons which pass or do not pass PID cut
Evaluate efficiency and purity
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