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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
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

23 Ottobre 2009                          Alessandro Palma                            2
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)




23 Ottobre 2009                     Alessandro Palma                              3
The Compact Muon Solenoid (CMS) experiment




23 Ottobre 2009     Alessandro Palma           4
The CMS electromagnetic calorimeter (ECAL)
                                                        Energy resolution and design performance
   75,848 PbWO4 scintillating crystals
                                                                                          Constant
   Barrel (0 < |η| < 1.479): 61,200 crystals
                                                                                          [c = 0.5%]
   Endcaps (1.48 < |η| < 2.7): 2 x 7,324 crystals

                                                            Stochastic       Noise
                                                            [a = 2.7%]       [b ≈ 200 MeV]

                                    Endcap


                                                                         Test beam results

Endcap
                            Barrel




 23 Ottobre 2009                     Alessandro Palma                                 5
ECAL calibration with Z  ee events




Simulated Z  ee event in CMS                      e+e- invariant mass




  23 Ottobre 2009               Alessandro Palma                  6
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%




23 Ottobre 2009                          Alessandro Palma   7
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

     23 Ottobre 2009                        Alessandro Palma   8
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)



23 Ottobre 2009                     Alessandro Palma                                 9
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
23 Ottobre 2009                       Alessandro Palma                             10
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




23 Ottobre 2009                         Alessandro Palma                    11
Measurement of electron charge misidentification
                     rate from data


                                       Electron with wrong reconstructed charge




                        Simulated Z  ee event in CMS


23 Ottobre 2009         Alessandro Palma                            12
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



23 Ottobre 2009                      Alessandro Palma                              13
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




23 Ottobre 2009                       Alessandro Palma   14
Measurement of electron charge misID
  Description of the method [1/2]


  Tag & Probe (TP) method applied to Zee 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


23 Ottobre 2009                      Alessandro Palma                            15
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




23 Ottobre 2009                    Alessandro Palma                               16
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
23 Ottobre 2009                      Alessandro Palma   17
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)

23 Ottobre 2009                           Alessandro Palma   18
Application of electron charge misID
                       to W+/W- cross section ratio




       High-pT
       isolated                                    Missing transverse

       electron                                    energy (neutrino)




23 Ottobre 2009                Alessandro Palma             19
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




23 Ottobre 2009                              Alessandro Palma   20
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




23 Ottobre 2009                       Alessandro Palma                              21
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




23 Ottobre 2009                     Alessandro Palma                                         22
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
           23 Ottobre 2009                  Alessandro Palma                         W
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
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|



 23 Ottobre 2009                             Alessandro Palma   24
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)%




23 Ottobre 2009                    Alessandro Palma                             25
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
23 Ottobre 2009                       Alessandro Palma
                                                                 Electron !       26
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 !
23 Ottobre 2009                         Alessandro Palma                              27
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




23 Ottobre 2009                          Alessandro Palma                                28

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[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 23 Ottobre 2009 Alessandro Palma 2
  • 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) 23 Ottobre 2009 Alessandro Palma 3
  • 4. The Compact Muon Solenoid (CMS) experiment 23 Ottobre 2009 Alessandro Palma 4
  • 5. The CMS electromagnetic calorimeter (ECAL) Energy resolution and design performance   75,848 PbWO4 scintillating crystals Constant   Barrel (0 < |η| < 1.479): 61,200 crystals [c = 0.5%]   Endcaps (1.48 < |η| < 2.7): 2 x 7,324 crystals Stochastic Noise [a = 2.7%] [b ≈ 200 MeV] Endcap Test beam results Endcap Barrel 23 Ottobre 2009 Alessandro Palma 5
  • 6. ECAL calibration with Z  ee events Simulated Z  ee event in CMS e+e- invariant mass 23 Ottobre 2009 Alessandro Palma 6
  • 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% 23 Ottobre 2009 Alessandro Palma 7
  • 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 23 Ottobre 2009 Alessandro Palma 8
  • 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) 23 Ottobre 2009 Alessandro Palma 9
  • 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 23 Ottobre 2009 Alessandro Palma 10
  • 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 23 Ottobre 2009 Alessandro Palma 11
  • 12. Measurement of electron charge misidentification rate from data Electron with wrong reconstructed charge Simulated Z  ee event in CMS 23 Ottobre 2009 Alessandro Palma 12
  • 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 23 Ottobre 2009 Alessandro Palma 13
  • 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 23 Ottobre 2009 Alessandro Palma 14
  • 15. Measurement of electron charge misID Description of the method [1/2] Tag & Probe (TP) method applied to Zee 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 23 Ottobre 2009 Alessandro Palma 15
  • 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 23 Ottobre 2009 Alessandro Palma 16
  • 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 23 Ottobre 2009 Alessandro Palma 17
  • 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) 23 Ottobre 2009 Alessandro Palma 18
  • 19. Application of electron charge misID to W+/W- cross section ratio High-pT isolated Missing transverse electron energy (neutrino) 23 Ottobre 2009 Alessandro Palma 19
  • 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 23 Ottobre 2009 Alessandro Palma 20
  • 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 23 Ottobre 2009 Alessandro Palma 21
  • 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 23 Ottobre 2009 Alessandro Palma 22
  • 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 23 Ottobre 2009 Alessandro Palma W 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| 23 Ottobre 2009 Alessandro Palma 24
  • 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)% 23 Ottobre 2009 Alessandro Palma 25
  • 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 23 Ottobre 2009 Alessandro Palma 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 ! 23 Ottobre 2009 Alessandro Palma 27
  • 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 23 Ottobre 2009 Alessandro Palma 28