1. lepton efficiency & fake rate Yousuke Kataoka University of Tokyo Content definitions of leptons p2 efficiency and fake rate for SU3 (12.0.6.1) p3, p4 efficiency and fake rate for T1 (12.0.6.4) p5, p6 topology dependence of efficiency p7 topology dependence of fake rate p8 data samples p9 Page.1 Sep 8, 2007 Backup without isolation condition on Truth topology dependence of the fake rate

2. definitions of lepton for comparison Reconstructed Lepton Electron ID egamma Algorithm (not softe) isEM mask 0x3ff Isolation: ET(cone0.2) < 10GeV |eta| 20GeV Muon ID MuID Algorithm Combined Muon Track match chi2 0) Track fit chi2 / DoF < 5 Isolation: ET(cone0.2) < 10GeV |eta| 20GeV ※ in the calculation of lepton efficiency for the truth lepton (pT>20GeV), the pT threshold of the reconstructed leptons (candidates of the matching) is 15GeV considering to the resolution. Truth Lepton definition1: generator-level lepton come from SUSY, W, Z, tau definition2: leptons of def.1 and generator-level lepton come from others (such as b,c hadrons) definition3: leptons of def.2 and leptons generated by G4 with the condition Isolation: ET(cone0.2) < 10GeV |eta| 20GeV ※ in the calculation of fake lepton for the reconstructed lepton (pT>20GeV), the pT threshold of the truth leptons (candidates of the matching) is 15GeV considering to the resolution. The isolation cut is not applied on the truth lepton. Page.2 Truth Jets for the fake study Tower Clustering with cone 0.4 |eta| 20GeV overlaps to electron are removed with R=0.2

3. Lepton efficiency for SU3 (12.0.6.1) (trig1_misal1_csc11.005403.SU3_jimmy_susy.recon.AOD.v12000601_tid006978) truth leptons(definition2) match reconstructed leptons with DR<0.02 Electron pT dep. Electron eta dep. (pT>30GeV) Muon eta dep. (pT>30GeV) Muon pT dep. 75.6±0.5% 76.6±0.5% 85.6±0.4% 85.6±0.5% ※ pT and eta are those of truth leptons Page.3

4. #event =49250 (197 files) #Truth Jet =228068 (before e removal, 235076) Reco.Truth (def1)Truth (def2)Truth (def3) Electron(>20GeV)6211765376657809 Muon(>20GeV)676777117730 # rec. candidates (pT>15GeV) pT>20GeV |eta|<2.5 region1 (0 ～ 0.7) region2 (0.7 ～ 1.35) region3 (1.35 ～ 1.65) region4 (1.65 ～ 2.5) Electron(def1)712875.6±0.582.3±0.680.3±0.843.8±1.961.6±1.6 Electron(def2)712875.6±0.582.3±0.680.4±0.843.8±1.961.6±1.6 Muon(def1)777185.6±0.4 Muon(def2)777185.6±0.4 # truth candidates (pT>15GeV, no isol. cut) # fake leptonFake ratetau jet contribution (truth tau found in 0.4) Electron(def1)9246446 (tau: 227)2.0×10 -3 ±0.1×10 -3 1.0×10 -3 ±0.1×10 -3 Electron(def2)12672 (+b,c)376 (tau: 222)1.7×10 -3 ±0.1×10 -3 0.9×10 -3 ±0.1×10 -3 Electron(def3)61273 (+pi0  γγ  )318 (tau: 189)1.4×10 -3 ±0.1×10 -3 0.8×10 -3 ±0.1×10 -3 Muon(def1)932484 (tau: 3)0.37×10 -3 ±0.04×10 -3 Muon(def2)12220 (+b,c)4 (tau: 3)0.02×10 -3 ±0.01×10 -3 Muon(def3)12355 (+decays?)3 (tau: 2)0.01×10 -3 ±0.01×10 -3 fake rate ( not matched lepton / number of TruthJet ) efficiency (%) numbers of denominator numbers, efficiency, fake rate for SU3 (12.0.6.1) Page.4 ※ # truth tau (hadronic decay) 7517 (pT>20GeV,|eta|<2.5) fake rate from tau hadronic decay is about 3%

5. Lepton efficiency for T1 (trig1_misal1_mc12.005200.T1_McAtNlo_Jimmy.recon.AOD.v12000604_tid007900) truth leptons(definition2) match reconstructed leptons with DR<0.02 Electron pT dep. Electron eta dep. (pT>30GeV) Muon eta dep. (pT>30GeV) Muon pT dep. 73.3±0.3% 74.0±0.3% 86.0±0.2% 86.0±0.3% ※ pT and eta are those of truth leptons Page.5

6. #event =59300 (238 files, file 00120 is 50events) #Truth Jet =241362 (before e removal, 259025) Reco.Truth (def1)Truth (def2)Truth (def3) Electron(>20GeV)14646185481862218833 Muon(>20GeV)170931916619241 # rec. candidates (pT>15GeV) pT>20GeV |eta|<2.5 region1 (0 ～ 0.7) region2 (0.7 ～ 1.35) region3 (1.35 ～ 1.65) region4 (1.65 ～ 2.5) Electron(def1)1623773.4±0.382.5±0.480.3±0.542.8±1.161.0±0.8 Electron(def2)1623773.3±0.382.4±0.480.3±0.542.9±1.161.0±0.8 Muon(def1)1889386.0±0.2 Muon(def2)1889386.0±0.2 # truth candidates (pT>15GeV, no isol. cut) # fake leptonFake ratetau jet contribution (truth tau found in 0.4) Electron(def1)21739659 (tau: 104)2.7×10 -3 ±0.1×10 -3 0.4×10 -3 ±0.1×10 -3 Electron(def2)26118 (+b,c)373 (tau: 104)1.6×10 -3 ±0.1×10 -3 0.4×10 -3 ±0.1×10 -3 Electron(def3)40511 (+pi0  γγ  )322 (tau: 89)1.3×10 -3 ±0.1×10 -3 0.4×10 -3 ±0.1×10 -3 Muon(def1)21842398 (tau: 1)1.7×10 -3 ±0.1×10 -3 Muon(def2)26501 (+b,c)2 (tau: 0)  00 / 241362 jets Muon(def3)26552 (+decays?)2 (tau: 0)  00 / 241362 jets fake rate ( not matched lepton / number of TruthJet ) efficiency (%) numbers of denominator numbers, efficiency, fake rate for T1 Page.6 ※ # truth tau (hadronic decay) 2320 (pT>20GeV,|eta|<2.5) unfortunately ΔR or eta of muon is on the threshold !

7. topology dependence of efficiency pT>20GeV |eta|<2.5 region1 (0 ～ 0.7) region2 (0.7 ～ 1.35) region3 (1.35 ～ 1.65) region4 (1.65 ～ 2.5) SU375.6±0.582.3±0.680.4±0.843.8±1.961.6±1.6 T173.3±0.382.4±0.480.3±0.542.9±1.161.0±0.8 Tt(lνqq)+3j74.0±0.880.7±1.077.6±1.240.5±2.964.9±2.4 Tt(lνqq)+2j73.8±0.682.2±0.879.2±1.041.7±2.059.7±1.8 Tt(lνqq)+1j73.3±1.078.6±1.481.9±1.546.0±3.458.8±2.7 Tt(lνlν)+3j74.6±0.482.3±0.579.7±0.743.1±1.659.7±1.3 W(eν)+5j67.1±1.282.5±1.980.5±1.935.4±3.357.5±2.1 pT>20GeV, |eta|<2.5 SU385.6±0.4 T186.0±0.2 Tt(lνqq)+3j85.5±0.6 Tt(lνqq)+2j86.2±0.5 Tt(lνqq)+1j85.0±1.0 Tt(lνlν)+3j84.8±0.4 W(μν)+5j86.7±0.7 Electron efficiency (definition2 for truth, %) Muon efficiency (definition2 for truth, %) the efficiency for each eta region is stable. But inclusive electron efficiency depends on the topology (for example tt or W). This is because the eta distributions differ for those topologies. the efficiency for muon is stable Page.7

8. topology dependence of fake lepton pT>20GeV, |eta|<2.5not from tau jet SU31.7×10 -3 ±0.1×10 -3 0.8×10 -3 ±0.1×10 -3 T11.6×10 -3 ±0.1×10 -3 1.1×10 -3 ±0.1×10 -3 J10.04×10 -3 ±0.04×10 -3 J20.4×10 -3 ±0.1×10 -3 J30.7×10 -3 ±0.1×10 -3 J40.4×10 -3 ±0.1×10 -3 pT>20GeV, |eta|<2.5 SU30.02×10 -3 ±0.01×10 -3 T10 / 240516 jets J10 / 22806 jets J20.02×10 -3 ±0.02×10 -3 J30 / 124842 jets J40.01×10 -3 ±0.01×10 -3 Muon (not matched lepton / number of TruthJet, definition2 for truth but no isolation cut) Electron (not matched lepton / number of TruthJet, definition2 for truth but no isolation cut) Page.8 ～ 10 -5 10 -3 ～ 10 -4

9. data samples SU3 (197files) trig1_misal1_csc11.005403.SU3_jimmy_susy.recon.AOD.v12000601_tid006978 T1 (238files) trig1_misal1_mc12.005200.T1_McAtNlo_Jimmy.recon.AOD.v12000604_tid007900 Alpgen samples tt(lνqq)+3j trig1_misal1_mc12.005533.AlpgenJimmyToplnqqNp3.recon.AOD.v12000601_tid006531 tt(lνqq)+2j trig1_misal1_csc11.005532.AlpgenJimmyToplnqqNp2.recon.AOD.v12000601_tid006530 tt(lνqq)+1j trig1_misal1_csc11.005531.AlpgenJimmyToplnqqNp1.recon.AOD.v12000601_tid006529 tt(lνlν)+3j trig1_misal1_mc12.005538.AlpgenJimmyToplnlnNp3.recon.AOD.v12000601_tid006535 W(eν)+5j trig1_misal1_mc12.005226.AlpgenJimmyWenuNp5.recon.AOD.v12000601_tid006527 W(μν)+5j trig1_misal1_mc12.008205.AlpgenJimmyWmunuNp5.recon.AOD.v12000601_tid006541 Pythia samples J1 trig1_misal1_csc11.005010.J1_pythia_jetjet.recon.AOD.v12000601 J2 trig1_misal1_csc11.005011.J2_pythia_jetjet.recon.AOD.v12000601 J3 trig1_misal1_csc11.005012.J3_pythia_jetjet.recon.AOD.v12000601 J4 trig1_misal1_csc11.005013.J4_pythia_jetjet.recon.AOD.v12000601 Page.9

10. without isolation condition on Truth for the comparison to other groups

11. SU3(12.0.6.5)SU3(12.0.6.1)T1(12.0.6.4) Electron (def-1)00.0%±0.5%75.6%±0.5%73.4%±0.3% Electron (def-2)00.0%±0.5%75.6%±0.5%73.3%±0.3% Muon (def-1)00.0%±0.4%85.6%±0.4%86.0%±0.2% Muon (def-2)00.0%±0.4%85.6%±0.4%86.0%±0.2% SU3(12.0.6.5)SU3(12.0.6.1)T1(12.0.6.4) Electron (def-1)72.1%±0.5%72.2%±0.5%70.9%±0.3% Electron (def-2)55.5%±0.5%55.9%±0.5%63.1%±0.3% Muon (def-1)81.8%±0.5%82.1%±0.4%83.5%±0.3% Muon (def-2)64.4%±0.5%65.1%±0.5%74.2%±0.3% with isolation cut on truth without isolation cut on truth page1

12. Topology dependence of the fake rate

13. fake electron matched jet (origin of fake electron) pT (GeV) T1 fake ratio (matched jets / jet spectrum) pT (GeV) T1 J3 J1 SU3 T1 Topology dependence 1. pT spectrum of jets Matched jets are higher than fake electrons due to e/h correction or loose isolation condition ? pT spectrum of jet highly depends on the topology  We should use fake rate as a function of pT of jets pT spectrum of jets dropped by pT threshold of fake electron (20GeV) page1

14. Topology dependence 2. tau jets contribution SU3 T1J3 Black plot … all jets contribution Red plot … non tau jets contribution SU3, T1 samples are tau rich, J samples are not.  tau jet contribution makes some difference tau jet (hadronic decay) contribution page2

15. Topology dependence 3. effect of isolation condition J3 We uses the following isolation condition of reconstructed electron ET (cone 0.2) < 10 GeV ET (cone 0.2) < 10 GeV && ET (cone 0.2) < 0.1 × ET of electron But, more strict condition drops the fake rate J3 page3

16. ET (cone 0.2) < 10 GeV ET (cone 0.2) < 10 GeV && ET (cone 0.2) < 0.1 × ET of electron T1 73.3% T1 70.6% loose isolation condition strict isolation condition We applied isolation condition on the Truth electron ET (cone 0.2) < 10 GeV page4