Determination of the Top- Quark Mass from the m lb Distribution in Dileptonic Top-Pair Events at s= 8 TeV

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1 Deteration of the Top- Quark Mass frohe Distribution in Dileptonic Top-Pair Events at s= 8 TeV Motivation - - Event Selection & mlb Definition- - Extraction: Method - - Results - - Summary - 1

2 Motivation Inclusive tt cross sections used to extract mt,pole at NNLO Taking advantage of different slope of σpred(mt) and σmeas(mt) Next step: Extract from differential cross sections (PLB 78 (14) 496) Possibly more sensitive to mt, more clear theoretical interpretation Step to simultaneous mt, pdf, αs extraction Observable sensitive to mt, measurement + prediction Reference: PAS-TOP4-14

3 Event Selection and mlb Definition 3

4 Event Selection Full 1, 8 TeV dataset (19.7 fb ) Signal: MadGraph+Pythia (7 masspoints) Selection opposite charged isolated leptons eµ Remove low m ll < GeV high p T jets 1 b-tagged jet N evt obs pred data ttv/γ non-w/z Wjets tw/tw ll DY/VV tt signal MC syst+stat N b N evt /GeV obs pred data ttv/γ non-w/z Wjets tw/tw ll DY/VV tt signal MC syst+stat p T,b N evt /GeV obs pred 7 data 6 ttv/γ non-w/z 5 Wjets tw/tw ll 4 DY/VV 3 tt signal MC syst+stat 1.5 p p T,l1 4

5 Observable mlb, Definition on generator and reconstruction level leading b: Combines production rate and decay shape Leading b-jet: smaller JES uncertainties Lepton kinematics known to high precision Visible phase space (vis. PS) b-quark froop / b-jet η <.4, pt > 3 GeV, : use smaller of combinations x l: Status 3 ME leptons froop (e/µ/tau( e,µ)) / selected oppositely charged lepton pair η <.4, p T > GeV N evt /GeV /N mt N mt fb =17.5 GeV =166.5 GeV =169.5 GeV =175.5 GeV =178.5 GeV (8 TeV) Simulation MadGraph+Pythia normalized to NNLO+NNLL 5

6 Observable mlb, () Good data/mc agreement Low background Only small contribution of migrations from outside visible PS (reco) Simulation N evt /GeV obs pred fb data ttv/γ non-w/z Wjets tw/tw ll DY/VV tt signal MC syst+stat (8 TeV) τ decays, efficiencies included in response matrix (gen) Strong correlation between reconstructed and generated mlb, 6

7 Folding Use reconstruction level distributions Compare to MadGraph on reconstruction level Fold theory: Separate matrix for each systematic variation / mt Reflects: Detector modeling uncertainties Signal modeling uncertainties (reconstruction efficiencies) (reco) Simulation (gen) No additional unfolding/regularization uncertainties No stat. correlations between bins of reconstructed distribution Here: Fold theory within visible phase space 7

8 Top-Mass Extraction: Method 8

9 Modeling Likelihood (mt) Fit mt-dependence of prediction, Npred, with nd order polynomial Includes backgrounds Use statistical uncertainty (mostly background) from central point σpred Parametrization uncertainties not included here ( see systematics) N evt data prediction Data yield Ndata: constant with σdata χ Define estimator Extract top mass from imum of χ (mt) For total rate or in bins of any distribution (mlb) 9

10 Method Overview N evt N evt /GeV N mt /N mt m t =169.5 GeV =175.5 GeV data =178.5 GeV prediction Simulation =17.5 GeV =166.5 GeV prediction: either or + data N evt data prediction For each bin: Derive dependence of pred (fit) Construct χ (mt) Combine bins No stat correlations sum χ over bins Detere Repeat for each syst. variation rate shape & rate shape χ

11 Top-Mass Extraction: Results 11

12 Extraction of mt (MadGraph+Pythia) N evt /GeV 1/N tot shape χ data =178.5 GeV =17.5 GeV =166.5 GeV N evt /GeV shape & rate χ data =178.5 GeV =17.5 GeV =166.5 GeV only stat uncertainties MadGraph+Pythia + background processes Extraction performed for shape only, shape & rate and rate-only Repeated for each systematic uncertainty 1

13 Extraction using MCFM Use MCFM to simulate mlb, distribution in. vis PS Fold to detector level and extract top mass normalized (rate underestimated) Pure MCFM NLO / LO NLO production + decay 1 Real and virt. corrections in decay & production NLO production + decay Real and virt. corrections in production only (Closest to MadGraph ME level) Plain LO (no FSR) decay decay 1 Uncertainties similar to MadGraph+Pythia 13

14 Results Mlb shows low mt-sensitivity wrt. higher orders in production Overall consistent results from shape, shape & rate and rate based extraction Doant uncertainties (experimental/theory): Rate: normalization uncertainties, JES signal normalization Shape & rate: partial cancellation of JES uncertainties signal normalization Shape smallest total uncertainty JES Q scale N evt /GeV 1/N tot χ data =178.5 GeV =17.5 GeV =166.5 GeV 14

15 Summary 15

16 Summary Extracted top mass from reco-level distributions & total rate with MadGraph+Pythia From shape: = 17.3 ±1.3 GeV All MadGraph+Pythia mass -values consistent Partial cancellation of uncertainties in shape+rate extraction N evt /GeV 1/N tot χ data =178.5 GeV =17.5 GeV =166.5 GeV Extracted using folded MCFM LO/NLO No unfolding/regularization effects Low sensitivity of to production mechanism Shift due to radiation in decay 16

17 BACKUP 17

18 Closure Tests: Pseudo-Experiments Based on fitted Npred(mt) (per bin) Data toys: Random yield (Poisson) around Npred Same statistics as data Prediction toys: Signal - Random yield (Poisson) with tt MC statistics - Uncorrelated for each mass point Background - Random yield (Poisson) with background MC statistics - Correlated for each mass point Scaled back to luosity and added Extract mt and evaluate mt,in vs. mt,out (x 5 ) No bias Stat uncertainties estimated correctly private work rate =169.5 GeV peak:.1, width:.98 =17.5 GeV peak:, width:.98 =175.5 GeV peak: -., width: ,out -,in / Δ stat rate & shape =169.5 GeV peak:.5, width:.99 =17.5 GeV peak:.5, width:.98 =175.5 GeV peak:.4, width: ,out -,in / Δ stat shape =169.5 GeV peak:.3, width:.99 =17.5 GeV peak:.4, width: 1.1 =175.5 GeV peak:.3, width: ,out -,in / Δ stat 18

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