The first part of this work describes how to use Z -> e+e- events in order to calibrate the CMS electromagnetic calorimeter, which makes use of scintillating crystals in order to precisely measure the energy of electrons and photons coming from the proton-proton interactions.
Using the very precise knowledge of the Z mass coming from LEP experiments, it is possible to set the absolute scale of the calorimeter as well as calibrating regions of the calorimeter with various topologies, and finely correct the calorimeter response to electrons. Focus is put on the first weeks of data taking.
The second part of this work concentrates on the misidentification of the electric charge of electrons/positrons in CMS. It will be shown how it is possible to extract the charge misidentification rate from the first CMS data, this time relying on the fact that electrons coming from the Z decay are always oppositely-charged.
Measuring this charge misidentification rate not only allows to perform a real-time check of the reconstruction quality during data taking, but also has an important role in the study of some physics channels. One of the studies where the charge misidentification has an important in influence is the W+/W- cross section ratio, that represent a test of the Standard Model which does not need a precise knowledge of the machine luminosity, that will be difficult to achieve with the first data.
Measures of Dispersion and Variability: Range, QD, AD and SD
[L'angolo del PhD] Alessandro Palma - XXII Ciclo - 2009
1. Studies on the dielectron spectrum with the
first data of the CMS experiment at the LHC
Dottorato di Ricerca in Fisica XXII ciclo – Seminario Finale
Alessandro Palma Supervisors: Prof. Egidio Longo
Roma, 23 Ottobre 2009 Dr. Riccardo Paramatti
Dr. Paolo Meridiani
2. Outlook of the work
LHC experiments will start data taking before 2010
Precise tests of Standard Model (SM) and search for new TeV-physics
Focus on first months of CMS data (integrated luminosity 100 pb-1)
Important to calibrate detectors with physics events and “re-discover” SM
1. Calibration studies: use Z ee events to calibrate the CMS e.m. calorimeter
• Absolute energy scale
• Intercalibration of different calorimeter regions
2. Measurement of electron charge misidentification
• Assess and monitor quality of electron reconstruction algorithms
• Crucial ingredient in both SM and beyond-SM physics channels
• Early SM application: measurement of W+/W- cross section ratio
Physics studies developed in the framework of CMS Electroweak Group @CERN
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3. The Large Hadron Collider (LHC) at CERN
First collisions at √s = 7 TeV before 2010, then centre-of-mass energy will be stepped up
Results shown here are for √s = 10 TeV (intermediate step before 14 TeV)
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4. The Compact Muon Solenoid (CMS) experiment
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6. ECAL calibration with Z ee events
Simulated Z ee event in CMS e+e- invariant mass
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7. Precalibration of the ECAL before startup
Barrel
1. Test beam electrons (on 10/36 of Barrel)
• Intercalibration at 0.4% level
2. Cosmic ray flux (on all the Barrel)
• Provides intercalibration of 1-2%
depending on pseudorapidity
3. Light Yield (LY) lab measures (on all the Barrel)
• Provides intercalibration of 4-5%
Endcaps
Expected intercalibration at startup: 7-10%
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8. ECAL calibration with Z ee events
Description of the method
In each event “i”, the quadratic mass ratio
folds a weighted average of the
miscalibrations of the regions ”j” of the
calorimeter hit by the Z-electrons
The weights are given by the energy
fraction carried by region “j”
Event after event, for each region “j” a
histogram is filled with the quadratic mass
ratio with its weight
After a number of events, the histogram is
fitted and its peak gives an estimate of the
region miscalibration
The procedure is repeated iteratively
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9. ECAL calibration with Z ee events
MonteCarlo validation of the method
The ECAL regions to study can be defined in different ways, according to:
same η-ring
same manifacturer How to validate the method?
1. Introduce ad-hoc miscalibration
η-rings 2. Compare miscalib and 1/recalib
constants at convergence
1/recalib
Spread around y=x
gives recalibration precision miscalib
(improving w/ statistics)
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10. ECAL calibration with Z ee events
Applications of the method in Barrel
Find corrections to electron energy in bins of (η, ET)
Material budget in front of ECAL
Increasing Bremsstrahlung
Brings worse energy reconstruction
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11. ECAL calibration with Z ee events
Applications of the method in Endcaps
Intercalibration of η-rings of crystals
f(x) = p0 + p1/√x
ECAL Endcaps
Expected miscalibration
at LHC startup
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12. Measurement of electron charge misidentification
rate from data
Electron with wrong reconstructed charge
Simulated Z ee event in CMS
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13. Measurement of electron charge misID
Origin of charge misID [1/2]
Bremsstrahlung emission followed by conversion “confuses” reco algorithms
e+
e+
e-
Brem yield pT resolution
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14. Measurement of electron charge misID
Origin of charge misID [2/2]
If the explanation is correct, for wrongly-
reconstructed electrons:
o Transverse Impact Parameter (TIP) is
expected to be larger
o Azimuthal angle φ has worse resolution
and biased determination
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15. Measurement of electron charge misID
Description of the method [1/2]
Tag & Probe (TP) method applied to Zee events:
one electron (Tag) must pass a stringent track quality selection in order to ensure
that its charge is correctly reconstructed
the other electron (Probe) usually passes looser selection
Tag-Probe invariant mass in the range [85,95] GeV/c2 to reduce background
the method measures the charge misID rate on the Probe
Probe misID rate =
(# of TP events where Tag and Probe have same charge) / (# of TP events)
A typical selection for Tag (with efficiency ~10%) is:
• ECAL Barrel only
• ET > 20 GeV
• num. of track-hits > 10
• χ2 of track < 1.2
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16. Measurement of electron charge misID
Results: charge misID rate vs reconstructed electron quantities
Probe here is a track-isolated electron with ET>20 GeV
MisID rate behaves as expected
Good agreement with MonteCarlo check on the Probe charge (reco vs gen-level electron)
Integrated misID value (1.52 ±0.09)% Statistical error w/ 100 pb-1 data
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17. Measurement of electron charge misID
Systematic uncertainties [1/2]
• Invariant mass window
Agreement with MonteCarlo truth
checked with various invariant mass
windows
• MisID on the Tag electron
If misID for Tag is >0 (Ptag), the
method measures the sum of Tag
misID + Probe misID
Ptag can be extracted from Tag-Tag
events and subtracted
• Probe definition
Stability of the method checked with
various “Probe” definitions
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18. Measurement of electron charge misID
Systematic uncertainties [2/2]
• Charge symmetry
No significant differences found in
misID results when requesting positive
and negative Tags
• Background level
Background found not significant
(S/B ~ 100)
Systematics below 0.1% even when
background enhanced by 3 (to account
for uncertainty in QCD yield)
Overall systematics ~0.1%
(comparable with stat. @ 100 pb-1)
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19. Application of electron charge misID
to W+/W- cross section ratio
High-pT
isolated Missing transverse
electron energy (neutrino)
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20. Application to W+/W- cross section ratio
Positive and negative W bosons at CMS
LHC initial p-p state favours W+
production
o integrated W+/W- ratio is > 1
u-type quarks carry more of the proton
momentum than d-type
o boosted W’s are more often positive
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21. Application to W+/W- cross section ratio
Relevance of the measurement: constraining PDFs
PDF investigation: LHC will be able to explore a new region in (x, Q2) plane
Different PDF models give different W+/W- predictions
Average ratio W+/W- ≈ 1.4
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22. Application to W+/W- cross section ratio
W eν selection
One electron with ET > 15 GeV at online reconstruction (to filter events live to a
sustainable rate)
One electron with ET > 30 GeV at offline reconstruction
No 2nd electron with ET > 20 GeV (to reduce Z ee background)
Track, ECAL, HCAL isolation and tight eleID requirements (to reduce QCD jets)
Missing Transverse Energy (MET) distribution
of selected events (signal & background):
• gives a flavour of the S/B ratio
• shows how distinctive MET is in W eν
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23. Application to W+/W- cross section ratio
CHAPTER 4. CHARGE MISIDENTIFICATION CORRECTION TO THE W + /W −
Number of selected events with 100 pb-1 data
CROSS SECTION RATIO
Physics channel Selected events
W → eν 371937
Z → ττ 1589
W → τν 5018
Z → ee 23650
γ + jets 53138
QCD 76877
tt 1875
Table 4.5: Number of signal and background events passing the selection for a statistics of
100 pb−1 S/B = 2.3
A robust strategy of background subtraction is under study in CMS
asymmetrically, and the final state electron has the same charge of the τ because it
comes from the Background decay. be considered in the following
τ → eνe ντ will not
Fig. ?? and ?? show the pseudorapidity and transverse energy distribution of the recon-
structed positive/negative electrons coming from the decay of positive/negative 23 bosons
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respectively (except for the misID phenomenon that will be covered later on in this chap-
ter): the transverse energy distributions are very similar, while the pseudorapidity plot shows
24. Application to W+/W- cross section ratio
W+/W- ratio with misID correction
N+,-:observed misID rate T+,-:true W+/W-
W+/W-
Correcting for electron charge misID
becomes important when:
1. W+/W- ratio becomes large
2. misID rate becomes large
i.e. at high values of electron |η|
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25. Application to W+/W- cross section ratio
Charge misID rate for W electrons
Apply Tag&Probe method to electrons passing the selection requested for W
Check charge symmetry so that the same misID values can be applied to W+ and W-
events
Integrated misID rate: (1.27±0.08)%
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26. Application to W+/W- cross section ratio
Constraining PDFs without misID correction
W “data” was generated starting from CTEQ6L1 (LO) PDF library
If no misID correction is inserted, at high |η| agreement with MonteCarlo gets weak
2.1
R
2 W data - misID corr.
1.9
CTEQ6L1 (MonteCarlo truth)
1.8
1.7
1.6
1.5
1.4
1.3
1.2
1.1
-2 -1 0 1 2
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Electron ! 26
27. Application to W+/W- cross section ratio
Constraining PDFs with misID correction
When misID correction is inserted, at high |η| data fit MonteCarlo better
2.1
R
2
W data - misID corr.
1.9
1.8 CTEQ6L1 (MonteCarlo truth)
1.7
1.6
1.5 Integrated W+/W-
1.4
1.3
1.2
1.1
-2 -1 0 1 2
Electron !
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28. Conclusions
An iterative method has been elaborated that allows calibration of
regions of the CMS em calorimeter, that with 100 pb-1 data allows:
o Barrel: tuning of (η, ET)-dependent correctiosn to the electron energy
o Endcaps: intercalibration of η-rings at permille level
A “Tag&Probe” method to extract the electron charge misID rate
from data has been developed
o Good stability and agreement with MonteCarlo
o Important in Standard Model analyses and beyond
In measuring W+/W- ratio, inserting misID correction is relevant to
constraint proton PDFs
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