Difference: TauCSCPlots (1 vs. 26)

Revision 262011-01-26 - PatrickJussel

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Tau-related plots from the CSC book

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Revision 252010-12-20 - PeterJones

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Revision 242009-11-24 - WolfgangMader

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META TOPICPARENT name="TauPublicResults"
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Please modify it in the sections indicated to create your topic! In particular, notice that at the bottom there are some sections that must be filled for publicly accessible pages.
If you have any comments/complaints about this template, then please email : Stephen Haywood (Computing Documentation Coordinator)
S.Haywood at rl.ac.uk (or failing that, edward.moyse at cern.ch)
-->
This page contains approved plots and results in the order as they appear in the CSC note. Only the CSC note contains all the relevant information and should thus be consulted if any of the plots is used.

 
<!-- By default the title is the WikiWord used to create this topic !-->
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Tau-related plots from the CSC book

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Tau-related plots from the CSC book

This page contains approved plots and results in the order as they appear in the CSC note. Only the CSC note contains all the relevant information and should thus be consulted if any of the plots is used.

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Additional Information

Revision 232009-09-24 - WolfgangMader

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META TOPICPARENT name="TauPublicResults"
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Revision 222009-01-08 - WolfgangMader

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META TOPICPARENT name="TauPublicResults"
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Revision 212009-01-07 - YannCoadou

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META TOPICPARENT name="TauPublicResults"
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This page contains approved plots and results in the order as they appear in the CSC note. Only the CSC note contains all the relevant information and should thus be consulted if any of the plots is used.

Since the CSC book is not yet published, you have to add 'preliminary' to all plots.
>
>
This page contains approved plots and results in the order as they appear in the CSC note. Only the CSC note contains all the relevant information and should thus be consulted if any of the plots is used.
 
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Additional Information

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  • If you want to cite the CSC book in your publication, please do it the following way:
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  • If you want to cite the CSC book (full text) in your publication, please do it the following way:
 
ATLAS Collaboration,
Expected Performance of the ATLAS Experiment,
Detector, Trigger and Physics,
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CERN-OPEN-2008-020, Geneva, 2008, to appear.
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CERN-OPEN-2008-020, Geneva, 2008.
 
  • An .eps version of each of the plots displayed below is available by clicking on the corresponding thumbnail.

Revision 202008-11-04 - WolfgangMader

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This page contains approved plots and results in the order as they appear in the CSC note. Only the CSC note contains all the relevant information and should thus be consulted if one of the plots is used.

Since the CSC book is not yet published, you have to add 'preliminary' to all plots.
>
>
This page contains approved plots and results in the order as they appear in the CSC note. Only the CSC note contains all the relevant information and should thus be consulted if any of the plots is used.

Since the CSC book is not yet published, you have to add 'preliminary' to all plots.
 
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Full version of CSC Note

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Additional Information

 
  • A full version of the tau CSC chapter is available via CDS (ATL-COM-PHYS-2008-068)
  • If you want to cite the CSC book in your publication, please do it the following way:
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  Detector, Trigger and Physics,
CERN-OPEN-2008-020, Geneva, 2008, to appear.
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Introduction

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Revision 192008-11-04 - YannCoadou

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This page contains approved plots and results in the order as they appear in the CSC note. Only the CSC note contains all the relevant information and should thus be consulted if one of the plots is used.

Since the CSC book is not yet covered, you have to add 'preliminary' to all plots.
>
>
This page contains approved plots and results in the order as they appear in the CSC note. Only the CSC note contains all the relevant information and should thus be consulted if one of the plots is used.

Since the CSC book is not yet published, you have to add 'preliminary' to all plots.
 
Added:
>
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<!-- By default the title is the WikiWord used to create this topic !-->
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TauCSCPlots

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Tau-related plots from the CSC book

 
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Full version of CSC Note

Revision 182008-11-04 - WolfgangMader

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META TOPICPARENT name="AtlasPhysics"
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This page contains approved plots and results in the order as they appear in the CSC note. Only the CSC note contains all the relevant information and should thus be consulted if one of the plots is used.
>
>
This page contains approved plots and results in the order as they appear in the CSC note. Only the CSC note contains all the relevant information and should thus be consulted if one of the plots is used.

Since the CSC book is not yet covered, you have to add 'preliminary' to all plots.
 
<!-- By default the title is the WikiWord used to create this topic !-->

Revision 172008-10-31 - WolfgangMader

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Full version of CSC Note

Revision 162008-10-28 - WolfgangMader

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Revision 152008-10-27 - WolfgangMader

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META FILEATTACHMENT attachment="tau_et_cor.eps" attr="h" comment="tau_et_cor.eps" date="1216470756" name="tau_et_cor.eps" path="tau_et_cor.eps" size="222926" stream="tau_et_cor.eps" user="Main.ChristophAnders" version="2"
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Revision 142008-10-27 - WolfgangMader

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Full version of CSC Note

  • A full version of the tau CSC chapter is available via CDS (ATL-COM-PHYS-2008-068)
  • If you want to cite the CSC book in your publication, please do it the following way:
    ATLAS Collaboration,
    Expected Performance of the ATLAS Experiment,
    Detector, Trigger and Physics,
    CERN-OPEN-2008-020, Geneva, 2008, to appear.
 
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Caption: Tau combinatorics for charge misidentification Percentage of one- and three prong τ lepton hadronic decays within
>
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Caption: Percentage of one- and three prong τ lepton hadronic decays within
  reconstructed one-, two- and three-prong τhad candidates by the track-based algorithm, matched to true τ decays. Tracks in a cone of Δ R=0.2 around the leading good
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Revision 132008-10-24 - WolfgangMader

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Introduction

Line: 85 to 85
 
Changed:
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Seeds for track-based $\tau_{had}$-candidates
>
>
Seeds for track-based τhad candidates
 
Reconstructed as single-prong Reconstructed as three-prong Reconstructed as two-prong
Electron contamination (from conversion)
Changed:
<
<
1.5\% 5.7\% 2.9\%
>
>
1.5% 5.7% 2.9%
 
Changed:
<
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$\tau \to \pi^{\pm} n\pi^{0} \nu$ 96.1\% 3.8\% 23.8\%
>
>
τ->π+/-0 ν 96.1% 3.8% 23.8%
 
Changed:
<
<
$\tau \to 3 \pi^{\pm} n\pi^{0} \nu$ 3.9 \% 96.2\% 76.2\%
>
>
τ-> 3π+/-0 ν 3.9% 96.2% 76.2%
 
Charge misid.
Changed:
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<
1.7\% 3.6\%
>
>
1.7% 3.6%
 
(no had. interact.)
Changed:
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0.4\% 2.1\%
>
>
0.4% 2.1%
 
Line: 192 to 192
 
Resolution Mean
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68.3\% 95\%
>
>
68.3% 95%
 
Line: 204 to 204
 
Fully matched 3-prong
Changed:
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$0.593 \pm 0.008\,$mm $0.006 \pm 0.006\,$mm $1.27\,$mm $5.33\,$mm
>
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0.593 +/- 0.008 mm 0.006 +/- 0.006 mm 1.27mm 5.33mm
 
Partially matched
Changed:
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$0.703 \pm 0.030\,$mm $-0.035 \pm 0.020\,$mm $3.83\,$mm $ > 15\,$mm
>
>
0.703 +/- 0.030 mm -0.035 +/- 0.020 mm 3.83 mm > 15 mm
 
Combined
Changed:
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$0.613 \pm 0.008\,$mm $0.004 \pm 0.006\,$mm $1.89\,$mm $ 11.37\,$mm
>
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0.613 +/- 0.008 mm 0.004 +/- 0.006 mm 1.89 mm 11.37 mm
 
Line: 232 to 232
 
Fully matched 3-prong
Changed:
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$10.1 \pm 0.2\,\mu$m $0.2 \pm 0.1\,\mu$m $14.4\,\mu$m $36.9\,\mu$m
>
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10.1 +/- 0.2 μm 0.2 +/- 0.1 μm 14.4 μm 36.9 μm
 
Partially matched
Changed:
<
<
$11.3 \pm 0.5\,\mu$m $-0.1 \pm 0.2\,\mu$m $20.9\,\mu$m $72.2\,\mu$m
>
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11.3 +/- 0.5 μm -0.1 +/- 0.2 μm 20.9 μm 72.2 μm
 
Combined
Changed:
<
<
$10.5 \pm 0.2\,\mu$m $0.1 \pm 0.1\,\mu$m $16.4\,\mu$m $48.1\,\mu$m
>
>
10.5 +/- 0.2 μm 0.1 +/- 0.1 μm 16.4 μm 48.1 μm
 
Line: 296 to 296
 
decay mode
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<
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no $\pi^0$ subclusters 1 $\pi^0$ subcluster $ \ge 2 $ $\pi^0$ subclusters
>
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no π0 subclusters 1 π0 subcluster >= 2 π0 subclusters
 
Changed:
<
<
all $\tau\to\mathrm{had}\nu$ 32\% 35\% 33\%
>
>
all τhadν 32% 35% 33%
 
Changed:
<
<
$\tau\to\pi\nu$ 65\% 20\% 15\%
>
>
τ->πν 65% 20% 15%
 
Changed:
<
<
$\tau\to\rho\nu$ 15\% 50\% 35\%
>
>
τ->ρν 15% 50% 35%
 
Changed:
<
<
$\tau\to a_1(\to 2\pi^0\pi)\nu$ 9\% 34\% 57\%
>
>
τ->a1 (-> 2π0π)ν 9% 34% 57%
 
Line: 395 to 395
 
Changed:
<
<
$\tau$ from $W \to \tau \nu$ (vs reconstructed $\tau_{had}$) 94.1\% 96.2\% 94.9\%
>
>
τ from W->τν (vs reconstructed τhad) 94.1% 96.2% 94.9%
 
Changed:
<
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Electron from $W \to e \nu$ (vs true e) 1.5\% $<$ 0.1\% 1.6\%
>
>
Electron from W->eν (vs true e) 1.5% <0.1% 1.6%
 
Line: 413 to 413
 
Changed:
<
<
$\tau$ from $W \to \tau \nu$ (vs reconstructed $\tau_{had}$) 99.9\% 99.9\% 99.9\%
>
>
τ from W->τν (vs reconstructed τhad) 99.9% 99.9% 99.9%
 
Changed:
<
<
Electron from $W \to e \nu$ (vs true e) 15.6\% 0.4\% 16.4\%
>
>
Electron from W->eν (vs true e) 15.6% 0.4% 16.4%
 
Line: 431 to 431
 
Changed:
<
<
$\tau$ from $W \to \tau \nu$ (vs reconstructed $\tau_{had}$) 90.6\% 95.1\% 92.1\%
>
>
τ from W->τν (vs reconstructed τhad) 90.6% 95.1% 92.1%
 
Changed:
<
<
Electron from $W \to e \nu$ (vs true e) 4.2\% 0.2\% 4.6\%
>
>
Electron from W->eν (vs true e) 4.2% 0.2% 4.6%
 
Line: 582 to 582
 
Changed:
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$E_T$ = 10-30 GeV :
>
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ET = 10-30 GeV :
 
one-prong 0.33
Changed:
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225 $\pm$ 10 435 $\pm$ 30 510 $\pm$ 40 460 $\pm$ 40
>
>
225 +/- 10 435 +/- 30 510 +/- 40 460 +/- 40
 
three-prong 0.28
Changed:
<
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360 $\pm$ 25 470 $\pm$ 40 740 $\pm$ 70 670 $\pm$ 60
>
>
360 +/- 25 470 +/- 40 740 +/- 70 670 +/- 60
 
Changed:
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$E_T$ = 30-60 GeV :
>
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ET = 30-60 GeV :
 
one-prong 0.42
Changed:
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140 $\pm$ 10 170 $\pm$ 10 440 $\pm$ 40 320 $\pm$ 30
>
>
140 +/- 10 170 +/- 10 440 +/- 40 320 +/- 30
 
three-prong 0.45
Changed:
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60 $\pm$ 2 9 0 $\pm$ 10 160 $\pm$ 10 130 $\pm$ 10
>
>
60 +/- 2 9 0 +/- 10 160 +/- 10 130 +/- 10
 
Line: 657 to 657
 
Algorithm
Changed:
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$E_T$ = 10-30 GeV $E_T$ = 30-60 GeV $E_T$ = 60-100 GeV $E_T &gt$ 100 GeV
>
>
ET = 10-30 GeV ET = 30-60 GeV ET = 60-100 GeV ET > 100 GeV
 
Track-based
Changed:
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1p: 740 $\pm$ 70 1p: 1030 $\pm$ 160
>
>
1p: 740 +/- 70 1p: 1030 +/- 160
 
(neural network)
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3p: 590 $\pm$ 50 3p: 590 $\pm$ 70
>
>
3p: 590 +/- 50 3p: 590 +/- 70
 
Line: 683 to 683
 
Calo-based
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<
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1p: 1130 $\pm$ 50 1p: 2240 $\pm$ 140 1p: 4370 $\pm$ 280
>
>
1p: 1130 +/- 50 1p: 2240 +/- 140 1p: 4370 +/- 280
 
(likelihood)
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3p: 187 $\pm$ 3 3p: 310 $\pm$ 7 3p: 423 $\pm$ 8
>
>
3p: 187 +/- 3 3p: 310 +/- 7 3p: 423 +/- 8
 
Line: 766 to 766
 
Track-based algorithm
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<
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$p_{T}$ range
>
>
pT range
 
MC stat. Expected stat. error MC stat.
Line: 774 to 774
 
(GeV)
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(\%) for $100~\mathrm{pb}^{-1}$ (\%) (\%) for $100~\mathrm{pb}^{-1}$ (\%)
>
>
(%) for 100 pb-1 (%) (%) for 100 pb-1 (%)
 
15-40
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2.3 $\pm$ 0.3 $\pm$ 0.02 2.5$\pm$0.5 $\pm$ 0.02
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2.3 +/- 0.3 +/- 0.02 2.5+/-0.5 +/- 0.02
 
40-80
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5.2 $\pm$ 2.2 $\pm$ 0.01 6.7$\pm$2.2 $\pm$ 0.01
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5.2 +/- 2.2 +/- 0.01 6.7+/-2.2 +/- 0.01
 
80-120
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0.5 $\pm$ 0.2 $\pm$ 0.001 1.8$\pm$0.6 $\pm$ 0.002
>
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0.5 +/- 0.2 +/- 0.001 1.8+/-0.6 +/- 0.002
 
Changed:
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    1. -160
0.2 $\pm$ 0.2 $\pm$ 0.002 1.4$\pm$0.6 $\pm$ 0.004
>
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120-160 0.2 +/- 0.2 +/- 0.002 1.4+/-0.6 +/- 0.004
 
Line: 842 to 841
 
Selection
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$W \to \tau \nu$ $W \to e \nu$ $W \to \mu \nu$
>
>
W->τν W->eν W->μν
 
QCD dijet
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<
<
$t \bar t$, $Z \to ee$, $Z \to \tau \tau$
>
>
ttbar, Z->ee, Z->ττ
 
Changed:
<
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Trigger $\tau20i$+EFxE30 8.8$\cdot 10^4$ 6.1$\cdot 10^5$ 3.2$\cdot 10^4$ 4.8$\cdot 10^8$ 3.0$\cdot 10^5$
>
>
Trigger tau20i+EFxE30 8.8 104 6.1 105 3.2 104 4.8 108 3.0 105
 
Changed:
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Identified $\tau$ + $E_T^{miss} &gt $ 30 GeV 2.0$\cdot 10^4$
>
>
Identified τ + ETmiss > 30 GeV 2.0 104
 
2600 200
Changed:
<
<
3.0 $\cdot 10^6$
>
>
3.0 106
 
1600
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$E_T^{miss} &gt $ 50 GeV
>
>
ETmiss > 50 GeV
 
4200 530 90
Changed:
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<
5.0$\cdot 10^4$
>
>
5.0 104
 
550
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Veto fake $E_T^{miss}$ topology
>
>
Veto fake ETmiss topology
 
3600 500 80
Changed:
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1.8$\cdot 10^4$
>
>
1.8 104
 
150
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Require jet $p_T &gt 15$ GeV
>
>
Require jet pT > 15 GeV
 
3240 450 60
Line: 889 to 888
 
80
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Increase to $E_T^{miss} &gt $ 60 GeV
>
>
Increase to ETmiss > 60 GeV
 
1550 150 25
Line: 930 to 929
 
Selection
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$Z \to \tau \tau$ $W \to \ell \nu$ QCD dijet $t \bar t$ Z$\to \ell \ell$
>
>
Z->ττ W->lν QCD dijet ttbar Z->ll
 
Isolated lepton
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1.5$\cdot 10^4$ 16.7$\cdot 10^5$ 1.1$\cdot 10^7$ 2.6$\cdot 10^4$ 2.2$\cdot 10^5$
>
>
1.5 104 16.7 105 1.1 107 2.6 104 2.2 105
 
Changed:
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$E^{miss}_T &gt 20$ GeV
>
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ETmiss > 20 GeV
 
4750
Changed:
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14.3$\cdot 10^5$ 3.2$\cdot 10^5$ 2.4$\cdot 10^4$ 1.0$\cdot 10^4$
>
>
14.3 105 3.2 105 2.4 104 1.0 104
 
Changed:
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$m^{\ell,E^{miss}_T}_T &lt 30 GeV $
>
>
mT(l, ETmiss) > 30 GeV
 
3200
Changed:
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<
2.6$\cdot 10^4$ 1.8$\cdot 10^5$
>
>
2.6 104 1.8 105
 
3650 3200
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$\Sigma E_T&lt 400$ GeV
>
>
ΣET < 400 GeV
 
3000
Changed:
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2.4$\cdot 10^4$ 1.7$\cdot 10^5$
>
>
2.4 104 1.7 105
 
1280 2800
b-jet veto 2780
Changed:
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2.4$\cdot 10^4$ 2.7$\cdot 10^4$
>
>
2.4 104 2.7 104
 
135 2600
Changed:
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$\tau_{had}$-id + $\Delta \phi (\ell \tau_{had})$ cuts 630$\pm$30 210 $\pm$10 74$\pm$11 10$\pm$2 30$\pm$5
>
>
τhad -id + Δφ(l, τhad) cuts 630+/-30 210 +/-10 74+/-11 10+/-2 30+/-5
 
OS events,
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$m^{\ell, \tau_{had}}$ = 37-75 GeV
520$\pm$30 45 $\pm$5 29$\pm$5 $&lt$ 5 10 $\pm$5
>
>
ml, τhad = 37-75 GeV
520+/-30 45 +/-5 29+/-5 < 5 10 +/-5
 
Line: 1026 to 1025
 
Selection
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$t \bar t (\ell, \tau_{had})$ $W \to \ell \nu + 3 jets$
>
>
ttbar (l, τhad) W->lν + 3 jets
 
single t
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>
>
Z->ll + 2 jets
 
Changed:
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>
>
Isolated lepton pT > 20 GeV
 
1300
Changed:
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3.9 $\cdot 10^5$
>
>
3.9 105
 
4300 630
Changed:
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Identified $\tau_{had}$ $p_T>$ 15 GeV
>
>
Identified τhad pT > 15 GeV
 
190 22000 210 120
Changed:
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>
>
1st jet ET > 50 GeV, 2nd jet ET > 30 GeV
 
170 4000 170 35
Changed:
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$E_T^{miss} &gt 25$ GeV
>
>
ETmiss > 25 GeV
 
150 3400 150 15
Changed:
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$\Sigma E_T> 250$ GeV
>
>
ΣET > 250 GeV
 
150 1750 130
Line: 1070 to 1069
 
130 850 54
Changed:
<
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$<$ 10
>
>
<10
 
1 b-jet tag
Line: 1089 to 1088
 
<!--For significant updates to the topic, consider adding your 'signature' (beneath this editing box)-->
Major updates:
Changed:
<
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-- ChristophAnders - 22 Jul 2008
>
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-- WolfgangMader - 24 Oct 2008 -- ChristophAnders - 22 Jul 2008
 -- ChristophAnders - 19 Jul 2008

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Revision 122008-10-24 - WolfgangMader

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Caption: Tau combinatorics for charge misidentification
Changed:
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Percentage of one- and three prong $\tau$ lepton hadronic decays within reconstructed one-, two- and three-prong $\tau_{had}$ candidates by the track-based
>
>
Percentage of one- and three prong τ lepton hadronic decays within reconstructed one-, two- and three-prong τhad candidates by the track-based
  algorithm, matched
Changed:
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to true $\tau$ decays. Tracks in a cone of $\Delta R=0.2$ around the leading good quality track are considered. A transverse momentum of $\pt>9\GeV$
>
>
to true τ decays. Tracks in a cone of Δ R=0.2 around the leading good quality track are considered. A transverse momentum of pT>9 GeV
  is required for the leading track. An estimate for electron contamination and charge misidentification is given in addition. Separately specified are results for a subsample where no hadronic secondary
Changed:
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interaction of primary charged $\pi$ was recorded inside the inner detector volume. Events from $Z\to\tau\tau$ and $W\to\tau\nu$ samples were used.
>
>
interaction of primary charged π was recorded inside the inner detector volume. Events from Z->ττ and W->τν samples were used. (eps version).
 

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 Caption: Resolution and mean of the distribution of residuals of the secondary vertex position in the directions parallel and transverse to that of the reconstructed momentum vector
Changed:
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<
of the $\tau_{had}$ candidate as obtained from the adaptive vertex
>
>
of the τhad candidate as obtained from the adaptive vertex
  fitter. Candidates with up to three associated tracks reconstructed by the track-based algorithm were used. The
Changed:
<
<
resolution quoted is the $\sigma$ of the core Gaussian of a double Gaussian fit in the range $[-4\,$mm$, 4\,$mm$]$ in the parallel direction and $[-50\,\mu$m$, 50\,\mu$m$]$ in the transverse direction. The 68.3\% and 95\% coverages are also quoted.
>
>
resolution quoted is the σ of the core Gaussian of a double Gaussian fit in the range [-4 mm, 4mm] in the parallel direction and [-50 μm, 50μm] in the transverse direction. The 68.3% and 95% coverages are also quoted. (eps version).
 
Line: 290 to 290
 
Caption: Single prong candidates: fractions with
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<
zero, one and two or more reconstructed $\pi^0$ subclusters.
>
>
zero, one and two or more reconstructed π0 subclusters. (eps version).
 

Line: 367 to 367
 
Caption: Veto for ele and muon tracks Efficiency for hadronically decaying
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$\tau$ leptons and true electrons from $W \to \tau \nu$ for passing the electron
>
>
τ leptons and true electrons from W->τν for passing the electron
  veto algorithm. The numbers
Changed:
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<
given are normalized to true electrons with $p_T> 9$~GeV and $|\eta|<2.5$ (vs. true e) and to reconstructed one-prong or
>
>
given are normalized to true electrons with pT >9 GeV and |η|<2.5 (vs. true e) and to reconstructed one-prong or
  three-prong candidates with the leading track being matched to a
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$\pi$ from $W\to\tau\nu$ events (vs. reconstructed $\tau_{had}$).
>
>
π from W->τν events (vs. reconstructed τhad).
  The probability that an
Changed:
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<
electron from $W \to e \nu$ events with $\pt>9\GeV$ and $|\eta|<2.5$ is reconstructed as one-prong (three-prong) candidate is $\sim 70\%$ ($\sim 0.7\%$). In addition the
>
>
electron from W->eν events with pT >9 GeV and |η|<2.5 is reconstructed as one-prong (three-prong) candidate is ~70% (~0.7%). In addition the
  performance of the standard algorithm for electron reconstruction
Changed:
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\cite{EG-1} is shown. The statistical uncertainty on the numbers presented here is at the level of $0.1-0.5\%$.
>
>
is shown. The statistical uncertainty on the numbers presented here is at the level of (0.1-0.5)%. (eps version).
 

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Caption: Efficiencies and rejection rates for different discrimination techniques for the track-based algorithm for fixed efficiencies.
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The efficiencies are normalized to all hadronic τ decays.
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Caption: Rejection against jets from Monte Carlo true particles for a 30%
  efficiency and separately for the one-prong (1p) and three-prong (3p) candidates. The efficiencies are normalized to true
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hadronic $\tau$ decays. For the signal $Z\to\tau\tau$ events and events from $bbH,\,H\to\tau\tau$ with $m_H=800\GeV$
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hadronic τ decays. For the signal Z->ττ events and events from bbH, H->ττ with mH=800 GeV
  were used; for the background QCD dijet-samples were used. The
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errors given are statistical only. (eps version).
 
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Caption: The τhad fake rate from QCD jets and its statistical
 uncertainty for the available Monte Carlo statistics and for
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expected $100\,\mathrm{pb}^{-1}$ of data in bins of $\pt$ for both $\tau_{had}$ reconstruction algorithms.
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Caption: Expected number of events in 100 pb-1 of data for signal and
 background after subsequent steps of the selection.
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The track-based algorithm has been used for τhad reconstruction. The QCD background has
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Caption: Expected number of events in 100 pb-1 of data for signal and background after reconstruction of the τ candidate with the
 calorimeter-based algorithm and after application of the selection cuts
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for the Z->ττ channel. The QCD background has been estimated combining fast and full simulation. (eps version).
 
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Caption: Expected number of events in 100 pb-1 of data for ttbar-> W(lν)W(τhad, ντ) bbbar signal and
 background after subsequent steps in the selection. The track-based algorithm
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Revision 112008-10-23 - WolfgangMader

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Tracks from conversions

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Charge mis-identification and tracks from conversions

 
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Secondary vertex reconstruction and transverse flight path

 
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Caption: Resolution on the transverse flight path reconstructed with the adaptive vertex fitter for fully matched three-prong τhad candidates as a function of the transverse momentum (left) and the pseudorapidity (right). Standard deviations of Gaussians fitted to central intervals covering 80% of the residual distributions are shown (black points). In addition the 68.3% and 95% coverages of the distributions of residuals of the secondary vertex position are shown (dashed and dot-dashed lines).}

Caption: Significance of the transverse flight path for fully matched and partially matched three-prong and for fake candidates with and without hadrons containing b or c quarks (the contribution from semileptonic decays of b/c jets into τ leptons was not subtracted).

Caption: The energy response obtained for the visible energy from τ->ρν events using candidates with one π0 subcluster (left). The invariant mass of the visible decay products for hadronic single-prong τ->ρν, τ->a1 (-> 2 π0 π) ν, and τ->πν decays using candidates from W->τν events with at least one π0 subcluster reconstructed (right).

Caption: The efficiency of the electron veto algorithm for W->τν (rectangles) and W->eν (triangles) events as a function of |η| and pT of the leading track.

Offline algorithms for tau reconstruction

Caption: The ratio of the reconstructed ET and the true (ETτ-vis) transverse energy of the hadronic τ decay products is shown as a function of the visible true transverse energy ETτ-vis (left), calculated in |η|<2.5 and |η| (right) for taus from Z->ττ (triangles) and A->ττ with mA=800 GeV (squares) decays. The ordinate value is the mean and the error bars correspond to the sigma of the Gaussian fit performed in the range 0.8<ET/ETτ-vis. The results are obtained after applying the loose likelihood selection, see below.


Caption: The distributions of a few discriminating variables (electromagnetic radius, energy isolation, transverse energy width in the η strip layer and ET over pT, 1 of the leading track) used in the calorimeter-based tau identification for true tau decays and jets with visible transverse cluster energies ET in the range from 40 to 60 GeV and track multiplicities between 1 and 3.

Caption: Left: The log likelihood (LLH) distribution for τ leptons (solid) and jets from QCD production (dashed). The likelihood is applied after a preselection on the number of associated tracks, i.e. requiring 1<= Ntr<=3. (Candidates with LLH<-10 had variables outside the boundaries of histograms used when obtaining the PDFs for the likelihood calculation). Right: Efficiency for τ leptons and rejection against jets for different ET ranges, achieved with the likelihood selection.
 
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Caption: The fractional energy response for single-prong (left) and three-prong (right) true τhad candidates reconstructed with the track-based algorithm. Events from a W->τν sample are shown.

Caption: The distributions for signal and backgrounds for the visible mass mviseflow and ratio of the transverse energy in the isolation and core region ETisol/ETcore for single-prong candidates, and variance Wtracksτ and invariant mass of the track system mtrk3p for three-prong candidates. Distributions are shown for the candidates in the transverse energy range ET=20-40 GeV.

Caption: Expected performance for the track-based algorithm with a neural-network selection (left) and the calorimeter-based algorithm with the likelihood selection (right). The rejection rates against jets from Monte-Calo particles as a function of the efficiency for hadronic τ decays for various ranges of the visible transverse energy are shown. For signal events Z->ττ and bbH, H->ττ with mH=800 GeV were used, for the background QCD dijet samples were used.

Caption: Track multiplicity distributions obtained for hadronic τ decays with a visible transverse energy above 20 GeV and below 60 GeV using the track-based τ identification algorithm. The distributions are shown after reconstruction, after cut-based identification and finally after applying the neural network (NN) discrimination technique for an efficiency of 30% for the signal (left) and the background (right).

Caption: Track multiplicity distributions obtained for hadronic τhad-decays with visible transverse energy above 20 GeV and below 60 GeV using the calorimeter-based τ identification. The distributions are shown after reconstruction and after applying the likelihood discrimination technique (medium selection) for the signal (left) and the background (right).

Fake-rates from QCD di-jet samples

Caption: Example of selections on a MC dijet sample, generated with 70<=pT<= 140 GeV. The two jets have to fulfill Δφ >= (π -0.3) in order to be back to back in φ (left) and have similar pT values (right).

Tau leptons in Standard Model processes

Caption: The track multiplicity spectrum of accepted τhad candidates after selection as described in the text with thresholds respectively ETmiss > 50 GeV (left) and ETmiss > 60 GeV (right). The expected event numbers are given for an integrated luminosity of 100 pb-1.

Caption: Left: The reconstructed visible mass of the (l τhad) pair for Z->ττ decays (solid line) and QCD, W->lν, Z->ll backgrounds (dashed line). Right: The reconstructed visible mass of the (l τhad) pair from Z->ττ decays as a function of the τhad energy scale (right). The dashed lines correspond to +/- 1 σ and +/- 3 σ with respect to the reconstructed peak position. The results were obtained with the calorimeter-based algorithm.

Caption: Combined b-tagging weights using impact parameter and secondary vertex information for the first two leading ET jets, both in ttbar->W(eνe, μνμ)W(τhadντ)bbbar and W+3-jets background. The eτ (μτ) channel is shown on the left (right). The cut value of 7 on the b-tagging weight is indicated with the arrows. An integrated luminosity of 100 pb-1 of data is assumed.

Table 1

Table 2

{Resolution and mean of the distribution of residuals of

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Caption: Resolution and mean of the distribution of residuals of
  the secondary vertex position in the directions parallel and transverse to that of the reconstructed momentum vector of the $\tau_{had}$ candidate as obtained from the adaptive vertex
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  double Gaussian fit in the range $[-4\,$mm$, 4\,$mm$]$ in the parallel direction and $[-50\,\mu$m$, 50\,\mu$m$]$ in the transverse direction. The 68.3\% and 95\% coverages are also quoted.
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$48.1\,\mu$m
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Caption: Resolution on the transverse flight path reconstructed with the adaptive vertex fitter for fully matched three-prong τhad candidates as a function of the transverse momentum (left) and the pseudorapidity (right). Standard deviations of Gaussians fitted to central intervals covering 80% of the residual distributions are shown (black points). In addition the 68.3% and 95% coverages of the distributions of residuals of the secondary vertex position are shown (dashed and dot-dashed lines).}
 
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Table 3

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Caption: Significance of the transverse flight path for fully matched and partially matched three-prong and for fake candidates with and without hadrons containing b or c quarks (the contribution from semileptonic decays of b/c jets into τ leptons was not subtracted).

Reconstruction of π0 subclusters

 
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n[Pi0 efficiencies] Single prong candidates: fractions with
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Caption: Single prong candidates: fractions with
  zero, one and two or more reconstructed $\pi^0$ subclusters.
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34\% 57\%
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Caption: The energy response obtained for the visible energy from τ->ρν events using candidates with one π0 subcluster (left). The invariant mass of the visible decay products for hadronic single-prong τ->ρν, τ->a1 (-> 2 π0 π) ν, and τ->πν decays using candidates from W->τν events with at least one π0 subcluster reconstructed (right).
 
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Table 4

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Combined veto on electron tracks

 
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Veto for ele and muon tracks Efficiency for hadronically decaying
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Caption: The efficiency of the electron veto algorithm for W->τν (rectangles) and W->eν (triangles) events as a function of |η| and pT of the leading track.

Caption: Veto for ele and muon tracks Efficiency for hadronically decaying
  $\tau$ leptons and true electrons from $W \to \tau \nu$ for passing the electron veto algorithm. The numbers given are normalized to true electrons with $p_T> 9$~GeV and
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  \cite{EG-1} is shown. The statistical uncertainty on the numbers presented here is at the level of $0.1-0.5\%$.
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0.2\% 4.6\%
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Offline algorithms for tau reconstruction

The calorimeter-based algorithm

Caption: The ratio of the reconstructed ET and the true (ETτ-vis) transverse energy of the hadronic τ decay products is shown as a function of the visible true transverse energy ETτ-vis (left), calculated in |η|<2.5 and |η| (right) for taus from Z->ττ (triangles) and A->ττ with mA=800 GeV (squares) decays. The ordinate value is the mean and the error bars correspond to the sigma of the Gaussian fit performed in the range 0.8<ET/ETτ-vis. The results are obtained after applying the loose likelihood selection, see below.


Caption: The distributions of a few discriminating variables (electromagnetic radius, energy isolation, transverse energy width in the η strip layer and ET over pT, 1 of the leading track) used in the calorimeter-based tau identification for true tau decays and jets with visible transverse cluster energies ET in the range from 40 to 60 GeV and track multiplicities between 1 and 3.

Caption: Left: The log likelihood (LLH) distribution for τ leptons (solid) and jets from QCD production (dashed). The likelihood is applied after a preselection on the number of associated tracks, i.e. requiring 1<= Ntr<=3. (Candidates with LLH<-10 had variables outside the boundaries of histograms used when obtaining the PDFs for the likelihood calculation). Right: Efficiency for τ leptons and rejection against jets for different ET ranges, achieved with the likelihood selection.

The track-based algorithm

The energy-flow approach

Caption: The fractional energy response for single-prong (left) and three-prong (right) true τhad candidates reconstructed with the track-based algorithm. Events from a W->τν sample are shown.

Identification with calorimetric and tracking variables

 
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Table 5

Efficiencies and rejection rates for different discrimination
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Caption: The distributions for signal and backgrounds for the visible mass mviseflow and ratio of the transverse energy in the isolation and core region ETisol/ETcore for single-prong candidates, and variance Wtracksτ and invariant mass of the track system mtrk3p for three-prong candidates. Distributions are shown for the candidates in the transverse energy range ET=20-40 GeV.

Overall efficiency and rejection

Caption: Efficiencies and rejection rates for different discrimination
 techniques for the track-based algorithm for fixed efficiencies. The efficiencies are normalized to all hadronic $\tau$ decays. The rejection rates are calculated with respect to jets reconstructed from true particles in the Monte Carlo. Events from $Z\to\tau\tau$ signal samples and QCD dijets were used. The errors given are statistical only
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Table 6

 
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Rejection against jets from Monte Carlo true particles for a $30\%$
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Comparison of the two algorithms

Caption: Expected performance for the track-based algorithm with a neural-network selection (left) and the calorimeter-based algorithm with the likelihood selection (right). The rejection rates against jets from Monte-Calo particles as a function of the efficiency for hadronic τ decays for various ranges of the visible transverse energy are shown. For signal events Z->ττ and bbH, H->ττ with mH=800 GeV were used, for the background QCD dijet samples were used.

Caption: Rejection against jets from Monte Carlo true particles for a $30\%$
  efficiency and separately for the one-prong (1p) and three-prong (3p) candidates. The efficiencies are normalized to true hadronic $\tau$ decays. For the signal $Z\to\tau\tau$ events and events from $bbH,\,H\to\tau\tau$ with $m_H=800\GeV$ were used; for the background QCD dijet-samples were used. The errors given are statistical only.
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Algorithm
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Caption: Track multiplicity distributions obtained for hadronic τ decays with a visible transverse energy above 20 GeV and below 60 GeV using the track-based τ identification algorithm. The distributions are shown after reconstruction, after cut-based identification and finally after applying the neural network (NN) discrimination technique for an efficiency of 30% for the signal (left) and the background (right).
 
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Table 7

The $\tau_{had}$ fake rate from QCD jets and its statistical
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Caption: Track multiplicity distributions obtained for hadronic τhad-decays with visible transverse energy above 20 GeV and below 60 GeV using the calorimeter-based τ identification. The distributions are shown after reconstruction and after applying the likelihood discrimination technique (medium selection) for the signal (left) and the background (right).

Fake-rates from QCD di-jet samples

Caption: Example of selections on a MC dijet sample, generated with 70<=pT<= 140 GeV. The two jets have to fulfill Δφ >= (π -0.3) in order to be back to back in φ (left) and have similar pT values (right).

Caption: The $\tau_{had}$ fake rate from QCD jets and its statistical
 uncertainty for the available Monte Carlo statistics and for expected $100\,\mathrm{pb}^{-1}$ of data in bins of $\pt$ for both $\tau_{had}$ reconstruction algorithms.
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Tau leptons in Standard Model processes

 
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Table 8

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W->τν inclusive production

 
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Expected number of events in $100~\ipb$ of data for signal and
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Caption: The track multiplicity spectrum of accepted τhad candidates after selection as described in the text with thresholds respectively ETmiss > 50 GeV (left) and ETmiss > 60 GeV (right). The expected event numbers are given for an integrated luminosity of 100 pb-1.

Caption: Expected number of events in $100~\ipb$ of data for signal and
 background after subsequent steps of the selection. The track-based algorithm has been used for $\tau_{had}$ reconstruction. The QCD background has been estimated combining fast and full simulation. Given are the expected number of events of track multiplicity one to three, i.e.~contributing to signal region only.
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The Z->ττ inclusive production

 
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Table 9

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Caption: Left: The reconstructed visible mass of the (l τhad) pair for Z->ττ decays (solid line) and QCD, W->lν, Z->ll backgrounds (dashed line). Right: The reconstructed visible mass of the (l τhad) pair from Z->ττ decays as a function of the τhad energy scale (right). The dashed lines correspond to +/- 1 σ and +/- 3 σ with respect to the reconstructed peak position. The results were obtained with the calorimeter-based algorithm.
 
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Expected number of events in $100~\ipb$ of data for signal and
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Caption: Expected number of events in $100~\ipb$ of data for signal and
 background after reconstruction of the $\tau$ candidate with the calorimeter-based algorithm and after application of the selection cuts for the $Z\to\tau\tau$ channel. The QCD background has been estimated combining fast and full simulation.
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The τ leptons from ttbar production

Caption: Combined b-tagging weights using impact parameter and secondary vertex information for the first two leading ET jets, both in ttbar->W(eνe, μνμ)W(τhadντ)bbbar and W+3-jets background. The eτ (μτ) channel is shown on the left (right). The cut value of 7 on the b-tagging weight is indicated with the arrows. An integrated luminosity of 100 pb-1 of data is assumed.
 
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Table 10

 
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Caption: Expected number of events in $100~\ipb$ of data for $t\bar{t} \rightarrow
 W(\ell \nu)W(\tau_{had},\nu_{\tau})b\bar{b}$ signal and background after subsequent steps in the selection. The track-based algorithm has been used for $\tau_{had}$ reconstruction.
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Revision 102008-10-23 - WolfgangMader

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Tables are taken from J16_TauCSC.tex Version 1.53
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Introduction

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tau_et_cor tau_et_cor2_type2
Caption: The visible transverse energy of τ leptons from different
  physics processes: top quark decays, W/Z production, Standard Model
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vector boson fusion Higgs boson production for $m_H=120\GeV$ with $H \to \tau \tau$, for $\tau$ leptons from low energy Supersymmetry with a light stau (SU1 sample), heavy $Z^\prime$ bosons, and heavy Higgs bosons from $bbH$ production in the MSSM with $\tan\beta = 20(45)$ for masses of $400\GeV$ ($800\GeV$).

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vector boson fusion Higgs boson production for mH=120 GeV with H->ττ, for τ leptons from low energy Supersymmetry with a light stau (SU1 sample), heavy Z' bosons, and heavy Higgs bosons from bbH production in the MSSM with tanβ=20(45) for masses of 400 GeV (800 GeV).
 

Performance of the ATLAS detector for tau identification

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Tracking and Vertexing

Reconstruction efficiency and track quality

Caption: Reconstruction efficiency for tracks from charged π's for one- and three-prong hadronic τ decays from W->τν and Z->ττ signal samples as a function of the
  transverse momentum of the track (left) and of the pseudorapidity for three
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Tracks from conversions

 
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    Caption:
    Transverse (left) and longitudinal (right) impact parameter resolution as a function of $|\eta|$ from a one-prong $Z \to \tau \tau$ sample. The open (full) circles are from $\tau\to\pi(\pi^0)\nu$ ($\tau\to\mu\nu\bar\nu$) events.
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Caption: Tau combinatorics for charge misidentification Percentage of one- and three prong $\tau$ lepton hadronic decays within reconstructed one-, two- and three-prong $\tau_{had}$ candidates by the track-based algorithm, matched to true $\tau$ decays. Tracks in a cone of $\Delta R=0.2$ around the leading good quality track are considered. A transverse momentum of $\pt>9\GeV$ is required for the leading track. An estimate for electron contamination and charge misidentification is given in addition. Separately specified are results for a subsample where no hadronic secondary interaction of primary charged $\pi$ was recorded inside the inner detector volume. Events from $Z\to\tau\tau$ and $W\to\tau\nu$ samples were used.
 
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Seeds for track-based $\tau_{had}$-candidates Reconstructed as single-prong Reconstructed as three-prong Reconstructed as two-prong
Electron contamination (from conversion) 1.5\% 5.7\% 2.9\%
$\tau \to \pi^{\pm} n\pi^{0} \nu$ 96.1\% 3.8\% 23.8\%
$\tau \to 3 \pi^{\pm} n\pi^{0} \nu$ 3.9 \% 96.2\% 76.2\%
Charge misid. 1.7\% 3.6\%
(no had. interact.) 0.4\% 2.1\%

Impact parameter

 
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Caption: Transverse (left) and longitudinal (right) impact parameter resolution as a function of |η| from a one-prong Z->ττ sample. The open (full) circles are from τ->π(π0)ν (τ->μνν) events.
 
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    Significances of the impact parameters $d_0$ (\rm{left) and $z_0 \sin(\theta)$ (\rm{right}) for 1-prong $\tau_{had}$
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Caption: Significances of the impact parameters d0 (left) and z0sin(θ) (right) for 1-prong τhad
  candidates reconstructed by the track-based
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algorithm. Distributions are shown for $\tau_{had}$ candidates reconstructed from $\tau$ decays and for fake candidates which do not originate from the decays of $b$- or $c$-hadrons.

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algorithm. Distributions are shown for τhad candidates reconstructed from τ decays and for fake candidates which do not originate from the decays of b- or c-hadrons.

Caption:
  Residuals of the secondary vertex position parallel and
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perpendicular to the direction of flight of the $\tau_{had$ candidate
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perpendicular to the direction of flight of the τhad candidate
  using the adaptive vertex fitter. Fully (solid) and partially
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(open) matched three-prong $\tau_{had}$ candidates reconstructed with the track-based algorithm from $Z \to \tau\tau$ and $W \to \tau \nu$ processes are used.}

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(open) matched three-prong τhad candidates reconstructed with the track-based algorithm from Z->ττ and W->τν processes are used.
 
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Caption:
  Resolution on the transverse flight path reconstructed with
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the adaptive vertex fitter for fully matched three-prong $\tau_{had$
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the adaptive vertex fitter for fully matched three-prong τhad
  candidates as a function of the transverse momentum (left) and the pseudorapidity (right). Standard deviations
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of Gaussians fitted to central intervals covering $80\%$ of the
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$68.3\,\%$ and $95\,\%$ coverages of the distributions of
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68.3% and 95% coverages of the distributions of
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Caption:
  Significance of the transverse flight path for fully matched and partially matched three-prong and for fake candidates with and without hadrons containing b or c quarks (the contribution from semileptonic
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decays of b/c jets into $\tau$ leptons was not subtracted).
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decays of b/c jets into τ leptons was not subtracted).
 
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Caption:
  The energy response obtained for the visible
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energy from $\tau\to\rho\nu$ events using candidates with one $\pi^0$ subcluster (left). The invariant mass of the visible decay products for hadronic single-prong $\tau \rightarrow\rho\nu$, $\tau \rightarrow a_1 (\rightarrow 2 \pi^0 \pi ) \nu $, and $\tau \rightarrow\pi\nu$ decays using candidates from $W\to\tau\nu$ events with at least one $\pi^0$ subcluster
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energy from τ->ρν events using candidates with one π0 subcluster (left). The invariant mass of the visible decay products for hadronic single-prong τ->ρν, τ->a1 (-> 2 π0 π) ν, and τ->πν decays using candidates from W->τν events with at least one π0 subcluster
  reconstructed (right).
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Caption:
  The efficiency of the electron veto algorithm for
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$W\to\tau\nu$ (rectangles) and $W\to e\nu$ (triangles) events as a function of $|\eta|$ and $\textrm{p_\mathrm{\tiny{T}}}$ of the leading track.
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W->τν (rectangles) and W->eν (triangles) events as a function of |η| and pT of the leading track.
 

Offline algorithms for tau reconstruction

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  • etratio_vs_et.eps
    etratio_vs_eta.eps
    Caption:
    The ratio of the reconstructed ($E_T$) and the true ($\et^{\tau-vis}$) transverse energy of the hadronic $\tau$ decay products is shown as a function of the visible true transverse energy $E_T^\mathrm{\tau,\,vis}$ (left), calculated in $|\eta| < 2.5$ and $|\eta|$ (right) for taus from $Z \to \tau \tau$ (triangles) and $ A\to\tau\tau$ with $m_A= 800$~GeV (squares) decays. The ordinate value is the mean and
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Caption: The ratio of the reconstructed ET and the true (ETτ-vis) transverse energy of the hadronic τ decay products is shown as a function of the visible true transverse energy ETτ-vis (left), calculated in |η|<2.5 and |η| (right) for taus from Z->ττ (triangles) and A->ττ with mA=800 GeV (squares) decays. The ordinate value is the mean and
  the error bars correspond to the sigma of the Gaussian fit performed
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in the range $0.8<E_T/E_T^\mathrm{\tau,\,vis}<1.2 $.
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in the range 0.8<ET/ETτ-vis.
  The results are obtained after applying the loose likelihood selection, see below.
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Caption:
  The distributions of a few discriminating variables (electromagnetic radius, energy isolation,
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transverse energy width in the $\eta$ strip layer and \et \ over $p_{T1}$ of the leading track)
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transverse energy width in the η strip layer and ET over pT, 1 of the leading track)
  used in the calorimeter-based tau identification for true tau decays and jets with visible transverse
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cluster energies $\et$ in the range from 40 to 60 GeV and track multiplicities between 1 and 3.
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cluster energies ET in the range from 40 to 60 GeV and track multiplicities between 1 and 3.
 
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Caption: Left: The log likelihood (LLH) distribution for τ leptons (solid) and jets from QCD production
  (dashed). The likelihood is applied after a preselection on the number of associated
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tracks, i.e. requiring $ 1 \le N_{tr} \le 3 $. (Candidates with LLH $< -10$ had variables outside the boundaries
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tracks, i.e. requiring 1<= Ntr<=3. (Candidates with LLH<-10 had variables outside the boundaries
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Right: Efficiency for $\tau$ leptons and rejection against jets for different $\et$ ranges,
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Right: Efficiency for τ leptons and rejection against jets for different ET ranges,
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Caption:
  The fractional energy response for single-prong (left) and
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three-prong (right) true $\tau_{had}$ candidates reconstructed with the track-based algorithm. Events from a $W\to\tau\nu$ sample
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three-prong (right) true τhad candidates reconstructed with the track-based algorithm. Events from a W->τν sample
  are shown.
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Caption:
  The distributions for signal and backgrounds
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for the visible mass $m_{vis}^{eflow}$ and ratio of the transverse energy in the isolation and core region $E_T^{isol}/E_T^{core}$ for single-prong candidates, and variance $W_\mathrm{tracks}^\tau$ and invariant mass of the track system $m^{trk3p}$ for three-prong candidates. Distributions are shown for the candidates in the transverse energy range $E_T = 20-40$ GeV.

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for the visible mass mviseflow and ratio of the transverse energy in the isolation and core region ETisol/ETcore for single-prong candidates, and variance Wtracksτ and invariant mass of the track system mtrk3p for three-prong candidates. Distributions are shown for the candidates in the transverse energy range ET=20-40 GeV.
 
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Caption:
  Expected performance for the track-based algorithm with a neural-network selection (left) and the calorimeter-based algorithm with the likelihood selection (right). The rejection rates against jets from Monte-Calo particles as a
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function of the efficiency for hadronic $\tau$ decays for various ranges
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function of the efficiency for hadronic τ decays for various ranges
  of the visible transverse energy are shown. For signal events
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$Z \to \tau \tau$ and $ bbH, H \to \tau \tau$ with $m_H=800$ GeV were used,
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Z->ττ and bbH, H->ττ with mH=800 GeV were used,
  for the background QCD dijet samples were used.
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Caption:
  Track multiplicity distributions obtained for hadronic
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$\tau$ decays with a visible transverse energy above 20~GeV and below 60 GeV using the track-based $\tau$ identification algorithm. The
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τ decays with a visible transverse energy above 20 GeV and below 60 GeV using the track-based τ identification algorithm. The
  distributions are shown after reconstruction, after cut-based identification and finally after applying the neural network (NN)
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discrimination technique for an efficiency of~30\% for the signal
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discrimination technique for an efficiency of 30% for the signal
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Caption:
  Track multiplicity distributions obtained for hadronic
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$\tau_{had}$-decays with visible transverse energy above 20~GeV and below 60 GeV using the calorimeter-based $\tau$ identification. The
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τhad-decays with visible transverse energy above 20 GeV and below 60 GeV using the calorimeter-based τ identification. The
  distributions are shown after reconstruction and after applying the likelihood discrimination technique (medium selection) for the signal (left) and the background (right).
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Fake-rates from QCD di-jet samples

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Caption:
  Example of selections on a MC dijet sample, generated
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with $70\le p_\mathrm{T} \le140\GeV$. The two jets have to fulfill $\Delta\phi\ge(\pi -0.3)$ in order to be back to back in $\phi$ (left) and have similar $p_\mathrm{T}$ values
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with 70<=pT<= 140 GeV. The two jets have to fulfill Δφ >= (π -0.3) in order to be back to back in φ (left) and have similar pT values
  (right).
Added:
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Tau leptons in Standard Model processes

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  • etmiss50sf.eps
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    Caption:
    The track multiplicity spectrum of accepted $\tau_{had}$ candidates after selection as described in the text with thresholds respectively $E_T^{miss} > 50$ GeV (left) and $E_T^{miss} > 60$ GeV (right). The expected event numbers are given for an integrated luminosity of 100~pb$^{-1}$.

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Caption: The track multiplicity spectrum of accepted τhad candidates after selection as described in the text with thresholds respectively ETmiss > 50 GeV (left) and ETmiss > 60 GeV (right). The expected event numbers are given for an integrated luminosity of 100 pb-1.
 
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  • signbackvis_may21.eps
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    Caption:
    Left: The reconstructed visible mass of the $(\ell \tau_{had})$ pair for $Z \to \tau \tau$~ decays (solid line) and QCD, $W \to \ell \nu$, $Z \to \ell \ell$ backgrounds (dashed line). Right: The reconstructed visible mass of the $(\ell \tau_{had})$ pair from $Z \to \tau \tau$~ decays as a function of the $\tau_{had}$ energy scale (right). The dashed lines correspond to $\pm 1 \sigma$ and $\pm 3 \sigma$ with respect to the reconstructed peak position. The
>
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Caption: Left: The reconstructed visible mass of the (l τhad) pair for Z->ττ decays (solid line) and QCD, W->lν, Z->ll backgrounds (dashed line). Right: The reconstructed visible mass of the (l τhad) pair from Z->ττ decays as a function of the τhad energy scale (right). The dashed lines correspond to +/- 1 σ and +/- 3 σ with respect to the reconstructed peak position. The
  results were obtained with the calorimeter-based algorithm.
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    Caption:
    Combined $b$-tagging weights using impact parameter and secondary vertex information for the first two leading $E_{T}$ jets, both in $t\bar{t} \rightarrow W(e \nu_{e}, \mu\nu_{\mu})W(\tau_{had}\nu_{\tau})b\bar{b}$ and $W+3~jets$ background. The $e~\tau$ ($\mu~\tau$) channel is
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Caption: Combined b-tagging weights using impact parameter and secondary vertex information for the first two leading ET jets, both in ttbar->W(eνe, μνμ)W(τhadντ)bbbar and W+3-jets background. The eτ (μτ) channel is
  shown on the left (right). The cut value of 7 on the b-tagging weight is indicated
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with the arrows. An integrated luminosity of $100~\ipb$ of data is
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with the arrows. An integrated luminosity of 100 pb-1 of data is
  assumed.
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Table 1

Tau combinatorics for charge misidentification Percentage of one- and three prong $\tau$ lepton hadronic decays within reconstructed one-, two- and three-prong $\tau_{had}$ candidates by the track-based algorithm, matched to true $\tau$ decays. Tracks in a cone of $\Delta R=0.2$ around the leading good quality track are considered. A transverse momentum of $\pt>9\GeV$ is required for the leading track. An estimate for electron contamination and charge misidentification is given in addition. Separately specified are results for a subsample where no hadronic secondary interaction of primary charged $\pi$ was recorded inside the inner detector volume. Events from $Z\to\tau\tau$ and $W\to\tau\nu$ samples were used.

>
>
 
Changed:
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Seeds for track-based $\tau_{had}$-candidates Reconstructed as single-prong Reconstructed as three-prong Reconstructed as two-prong
Electron contamination (from conversion) 1.5\% 5.7\% 2.9\%
$\tau \to \pi^{\pm} n\pi^{0} \nu$ 96.1\% 3.8\% 23.8\%
$\tau \to 3 \pi^{\pm} n\pi^{0} \nu$ 3.9 \% 96.2\% 76.2\%
Charge misid. 1.7\% 3.6\%
(no had. interact.) 0.4\% 2.1\%
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Table 1

 

Table 2

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Revision 92008-10-23 - WolfgangMader

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Candidates
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  transverse momentum of the track (left) and of the pseudorapidity for three different ranges of track $\pt$ (right).

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    Seeds for track-based $\tau_{had}$-candidates | Reconstructed as single-prong | Reconstructed as three-prong | Reconstructed two-prong
    Electron contamination (from conversion) | 1.5\% | 5.7\% | 2.9\%
    $\tau \to \pi^{\pm} n\pi^{0} \nu$ | 96.1\% | 3.8\% | 23.8\%
    $\tau \to 3 \pi^{\pm} n\pi^{0} \nu$ | 3.9 \% | 96.2\% | 76.2\%
    Charge misid. | 1.7\% | 3.6\% | ---
    (no had. interact.) | 0.4\% | 2.1\% | ---
    ----- Caption: -----
    Percentage of one- and three prong $\tau$ lepton hadronic decays within reconstructed one-, two- and three-prong $\tau_{had}$ candidates by the track-based algorithm, matched to true $\tau$ decays. Tracks in a cone of $\Delta R=0.2$ around the leading good quality track are considered. A transverse momentum of $\pt>9\GeV$ is required for the leading track. An estimate for electron contamination and charge misidentification is given in addition. Separately specified are results for a subsample where no hadronic secondary interaction of primary charged $\pi$ was recorded inside the inner detector volume. Events from $Z\to\tau\tau$ and $W\to\tau\nu$ samples were used.}
 
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  reconstructed from $\tau$ decays and for fake candidates which do not originate from the decays of $b$- or $c$-hadrons.

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    --- | Resolution | Mean | 68.3\% |95\%
    Fully matched 3-prong | $0.593 \pm 0.008\,$mm | $0.006 \pm 0.006\,$mm | $1.27\,$mm | $5.33\,$mm
    Partially matched | $0.703 \pm 0.030\,$mm | $-0.035 \pm 0.020\,$mm | $3.83\,$mm | $ > 15\,$mm
    Combined | $0.613 \pm 0.008\,$mm | $0.004 \pm 0.006\,$mm | $1.89\,$mm | $ 11.37\,$mm Fully matched 3-prong | $10.1 \pm 0.2\,\mu$m | $0.2 \pm 0.1\,\mu$m | $14.4\,\mu$m | $36.9\,\mu$m
    Partially matched | $11.3 \pm 0.5\,\mu$m | $-0.1 \pm 0.2\,\mu$m | $20.9\,\mu$m | $72.2\,\mu$m
    Combined | $10.5 \pm 0.2\,\mu$m | $0.1 \pm 0.1\,\mu$m | $16.4\,\mu$m | $48.1\,\mu$m
    ----- Caption: -----
    Resolution and mean of the distribution of residuals of the secondary vertex position in the directions parallel and transverse to that of the reconstructed momentum vector of the $\tau_{had}$ candidate as obtained from the adaptive vertex fitter. Candidates with up to three associated tracks reconstructed by the track-based algorithm were used. The resolution quoted is the $\sigma$ of the core Gaussian of a double Gaussian fit in the range $[-4\,$mm$, 4\,$mm$]$ in the parallel direction and $[-50\,\mu$m$, 50\,\mu$m$]$ in the transverse direction. The 68.3\% and 95\% coverages are also quoted.
 
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Table 5

Efficiencies and rejection rates for different discrimination techniques for the track-based algorithm for fixed efficiencies. The efficiencies are normalized to all hadronic $\tau$ decays. The rejection rates are calculated with respect to jets reconstructed from true particles in the Monte Carlo. Events from $Z\to\tau\tau$ signal samples and QCD dijets were used. The errors given are statistical only
Selection Efficiency Rejection Rejection Rejection Rejection
cuts TMVA cuts NN PDRS
$E_T$ = 10-30 GeV :
one-prong 0.33 225 $\pm$ 10 435 $\pm$ 30 510 $\pm$ 40 460 $\pm$ 40
three-prong 0.28 360 $\pm$ 25 470 $\pm$ 40 740 $\pm$ 70 670 $\pm$ 60
$E_T$ = 30-60 GeV :
one-prong 0.42 140 $\pm$ 10 170 $\pm$ 10 440 $\pm$ 40 320 $\pm$ 30
three-prong 0.45 60 $\pm$ 2 9 0 $\pm$ 10 160 $\pm$ 10 130 $\pm$ 10

Table 6

Rejection against jets from Monte Carlo true particles for a $30\%$ efficiency and separately for the one-prong (1p) and three-prong (3p) candidates. The efficiencies are normalized to true hadronic $\tau$ decays. For the signal $Z\to\tau\tau$ events and events from $bbH,\,H\to\tau\tau$ with $m_H=800\GeV$ were used; for the background QCD dijet-samples were used. The errors given are statistical only.

Algorithm $E_T$ = 10-30 GeV $E_T$ = 30-60 GeV $E_T$ = 60-100 GeV $E_T &gt$ 100 GeV
Track-based 1p: 740 $\pm$ 70 1p: 1030 $\pm$ 160
(neural network) 3p: 590 $\pm$ 50 3p: 590 $\pm$ 70
Calo-based 1p: 1130 $\pm$ 50 1p: 2240 $\pm$ 140 1p: 4370 $\pm$ 280
(likelihood) 3p: 187 $\pm$ 3 3p: 310 $\pm$ 7 3p: 423 $\pm$ 8

Table 7

The $\tau_{had}$ fake rate from QCD jets and its statistical uncertainty for the available Monte Carlo statistics and for expected $100\,\mathrm{pb}^{-1}$ of data in bins of $\pt$ for both $\tau_{had}$ reconstruction algorithms.

Calorimeter-based algorithm Track-based algorithm
$p_{T}$ range MC stat. Expected stat. error MC stat. Expected stat. error
(GeV) (\%) for $100~\mathrm{pb}^{-1}$ (\%) (\%) for $100~\mathrm{pb}^{-1}$ (\%)
15-40 2.3 $\pm$ 0.3 $\pm$ 0.02 2.5$\pm$0.5 $\pm$ 0.02
40-80 5.2 $\pm$ 2.2 $\pm$ 0.01 6.7$\pm$2.2 $\pm$ 0.01
80-120 0.5 $\pm$ 0.2 $\pm$ 0.001 1.8$\pm$0.6 $\pm$ 0.002
    1. -160
0.2 $\pm$ 0.2 $\pm$ 0.002 1.4$\pm$0.6 $\pm$ 0.004

Table 8

Expected number of events in $100~\ipb$ of data for signal and background after subsequent steps of the selection. The track-based algorithm has been used for $\tau_{had}$ reconstruction. The QCD background has been estimated combining fast and full simulation. Given are the expected number of events of track multiplicity one to three, i.e.~contributing to signal region only.

Selection $W \to \tau \nu$ $W \to e \nu$ $W \to \mu \nu$ QCD dijet $t \bar t$, $Z \to ee$, $Z \to \tau \tau$
Trigger $\tau20i$+EFxE30 8.8$\cdot 10^4$ 6.1$\cdot 10^5$ 3.2$\cdot 10^4$ 4.8$\cdot 10^8$ 3.0$\cdot 10^5$
Identified $\tau$ + $E_T^{miss} &gt $ 30 GeV 2.0$\cdot 10^4$ 2600 200 3.0 $\cdot 10^6$ 1600
$E_T^{miss} &gt $ 50 GeV 4200 530 90 5.0$\cdot 10^4$ 550
Veto fake $E_T^{miss}$ topology 3600 500 80 1.8$\cdot 10^4$ 150
Require jet $p_T &gt 15$ GeV 3240 450 60 3200 80
Increase to $E_T^{miss} &gt $ 60 GeV 1550 150 25 500 30

Table 9

Expected number of events in $100~\ipb$ of data for signal and background after reconstruction of the $\tau$ candidate with the calorimeter-based algorithm and after application of the selection cuts for the $Z\to\tau\tau$ channel. The QCD background has been estimated combining fast and full simulation.

Selection $Z \to \tau \tau$ $W \to \ell \nu$ QCD dijet $t \bar t$ Z$\to \ell \ell$
Isolated lepton 1.5$\cdot 10^4$ 16.7$\cdot 10^5$ 1.1$\cdot 10^7$ 2.6$\cdot 10^4$ 2.2$\cdot 10^5$
$E^{miss}_T &gt 20$ GeV 4750 14.3$\cdot 10^5$ 3.2$\cdot 10^5$ 2.4$\cdot 10^4$ 1.0$\cdot 10^4$
$m^{\ell,E^{miss}_T}_T &lt 30 GeV $ 3200 2.6$\cdot 10^4$ 1.8$\cdot 10^5$ 3650 3200
$\Sigma E_T&lt 400$ GeV 3000 2.4$\cdot 10^4$ 1.7$\cdot 10^5$ 1280 2800
b-jet veto 2780 2.4$\cdot 10^4$ 2.7$\cdot 10^4$ 135 2600
$\tau_{had}$-id + $\Delta \phi (\ell \tau_{had})$ cuts 630$\pm$30 210 $\pm$10 74$\pm$11 10$\pm$2 30$\pm$5
OS events, $m^{\ell, \tau_{had}}$ = 37-75 GeV 520$\pm$30 45 $\pm$5 29$\pm$5 $&lt$ 5 10 $\pm$5

Table 10

Expected number of events in $100~\ipb$ of data for $t\bar{t} \rightarrow W(\ell \nu)W(\tau_{had},\nu_{\tau})b\bar{b}$ signal and background after subsequent steps in the selection. The track-based algorithm has been used for $\tau_{had}$ reconstruction.

Selection $t \bar t (\ell, \tau_{had})$ $W \to \ell \nu + 3 jets$ single t Z$\to \ell \ell$ + 2 jets
Isolated lepton $p_T>$ 20 GeV 1300 3.9 $\cdot 10^5$ 4300 630
Identified $\tau_{had}$ $p_T>$ 15 GeV 190 22000 210 120
1st jet $E_T>$ 50 GeV, 2nd jet $E_T>$ 30 GeV 170 4000 170 35
$E_T^{miss} &gt 25$ GeV 150 3400 150 15
$\Sigma E_T> 250$ GeV 150 1750 130 10
Opposite-sign events 130 850 54 $<$ 10
1 b-jet tag 67 28 20
 
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-- ChristophAnders - 22 Jul 2008
 -- ChristophAnders - 19 Jul 2008

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Revision 62008-07-22 - MichelJanus

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  with the arrows. An integrated luminosity of $100~\ipb$ of data is assumed.

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Table 1

 
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Tau combinatorics for charge misidentification Percentage of one- and three prong $\tau$ lepton hadronic decays within reconstructed one-, two- and three-prong $\tau_{had}$ candidates by the track-based algorithm, matched to true $\tau$ decays. Tracks in a cone of $\Delta R=0.2$ around the leading good quality track are considered. A transverse momentum of $\pt>9\GeV$ is required for the leading track. An estimate for electron contamination and charge misidentification is given in addition. Separately specified are results for a subsample where no hadronic secondary interaction of primary charged $\pi$ was recorded inside the inner detector volume. Events from $Z\to\tau\tau$ and $W\to\tau\nu$ samples were used.

Seeds for track-based $\tau_{had}$-candidates Reconstructed as single-prong Reconstructed as three-prong Reconstructed as two-prong
Electron contamination (from conversion) 1.5\% 5.7\% 2.9\%
$\tau \to \pi^{\pm} n\pi^{0} \nu$ 96.1\% 3.8\% 23.8\%
$\tau \to 3 \pi^{\pm} n\pi^{0} \nu$ 3.9 \% 96.2\% 76.2\%
Charge misid. 1.7\% 3.6\%
(no had. interact.) 0.4\% 2.1\%

Table 2

{Resolution and mean of the distribution of residuals of the secondary vertex position in the directions parallel and transverse to that of the reconstructed momentum vector of the $\tau_{had}$ candidate as obtained from the adaptive vertex fitter. Candidates with up to three associated tracks reconstructed by the track-based algorithm were used. The resolution quoted is the $\sigma$ of the core Gaussian of a double Gaussian fit in the range $[-4\,$mm$, 4\,$mm$]$ in the parallel direction and $[-50\,\mu$m$, 50\,\mu$m$]$ in the transverse direction. The 68.3\% and 95\% coverages are also quoted.

Resolution Mean 68.3\% 95\%
Parallel
Fully matched 3-prong $0.593 \pm 0.008\,$mm $0.006 \pm 0.006\,$mm $1.27\,$mm $5.33\,$mm
Partially matched $0.703 \pm 0.030\,$mm $-0.035 \pm 0.020\,$mm $3.83\,$mm $ > 15\,$mm
Combined $0.613 \pm 0.008\,$mm $0.004 \pm 0.006\,$mm $1.89\,$mm $ 11.37\,$mm
Transverse
Fully matched 3-prong $10.1 \pm 0.2\,\mu$m $0.2 \pm 0.1\,\mu$m $14.4\,\mu$m $36.9\,\mu$m
Partially matched $11.3 \pm 0.5\,\mu$m $-0.1 \pm 0.2\,\mu$m $20.9\,\mu$m $72.2\,\mu$m
Combined $10.5 \pm 0.2\,\mu$m $0.1 \pm 0.1\,\mu$m $16.4\,\mu$m $48.1\,\mu$m

Table 3

n[Pi0 efficiencies] Single prong candidates: fractions with zero, one and two or more reconstructed $\pi^0$ subclusters.

decay mode no $\pi^0$ subclusters 1 $\pi^0$ subcluster $ \ge 2 $ $\pi^0$ subclusters
all $\tau\to\mathrm{had}\nu$ 32\% 35\% 33\%
$\tau\to\pi\nu$ 65\% 20\% 15\%
$\tau\to\rho\nu$ 15\% 50\% 35\%
$\tau\to a_1(\to 2\pi^0\pi)\nu$ 9\% 34\% 57\%

Table 4

Veto for ele and muon tracks Efficiency for hadronically decaying $\tau$ leptons and true electrons from $W \to \tau \nu$ for passing the electron veto algorithm. The numbers given are normalized to true electrons with $p_T> 9$~GeV and $|\eta|<2.5$ (vs. true e) and to reconstructed one-prong or three-prong candidates with the leading track being matched to a $\pi$ from $W\to\tau\nu$ events (vs. reconstructed $\tau_{had}$). The probability that an electron from $W \to e \nu$ events with $\pt>9\GeV$ and $|\eta|<2.5$ is reconstructed as one-prong (three-prong) candidate is $\sim 70\%$ ($\sim 0.7\%$). In addition the performance of the standard algorithm for electron reconstruction \cite{EG-1} is shown. The statistical uncertainty on the numbers presented here is at the level of $0.1-0.5\%$.

Candidates
Electron-veto algorithm
$\tau$ from $W \to \tau \nu$ (vs reconstructed $\tau_{had}$) 94.1\% 96.2\% 94.9\%
Electron from $W \to e \nu$ (vs true e) 1.5\% $<$ 0.1\% 1.6\%
Standard algorithm (tight selection)
$\tau$ from $W \to \tau \nu$ (vs reconstructed $\tau_{had}$) 99.9\% 99.9\% 99.9\%
Electron from $W \to e \nu$ (vs true e) 15.6\% 0.4\% 16.4\%
Standard algorithm (medium selection)
$\tau$ from $W \to \tau \nu$ (vs reconstructed $\tau_{had}$) 90.6\% 95.1\% 92.1\%
Electron from $W \to e \nu$ (vs true e) 4.2\% 0.2\% 4.6\%
 

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    Seeds for track-based $\tau_{had}$-candidates | Reconstructed as single-prong | Reconstructed as three-prong | Reconstructed two-prong
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    $\tau \to \pi^{\pm} n\pi^{0} \nu$ | 96.1\% | 3.8\% | 23.8\%
    $\tau \to 3 \pi^{\pm} n\pi^{0} \nu$ | 3.9 \% | 96.2\% | 76.2\%
    Charge misid. | 1.7\% | 3.6\% | ---
    (no had. interact.) | 0.4\% | 2.1\% | ---
    ----- Caption: -----
    Percentage of one- and three prong $\tau$ lepton hadronic decays within reconstructed one-, two- and three-prong $\tau_{had}$ candidates by the track-based algorithm, matched to true $\tau$ decays. Tracks in a cone of $\Delta R=0.2$ around the leading good quality track are considered. A transverse momentum of $\pt>9\GeV$ is required for the leading track. An estimate for electron contamination and charge misidentification is given in addition. Separately specified are results for a subsample where no hadronic secondary interaction of primary charged $\pi$ was recorded inside the inner detector volume. Events from $Z\to\tau\tau$ and $W\to\tau\nu$ samples were used.}
 
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    --- | Resolution | Mean | 68.3\% |95\%
    Fully matched 3-prong | $0.593 \pm 0.008\,$mm | $0.006 \pm 0.006\,$mm | $1.27\,$mm | $5.33\,$mm
    Partially matched | $0.703 \pm 0.030\,$mm | $-0.035 \pm 0.020\,$mm | $3.83\,$mm | $ > 15\,$mm
    Combined | $0.613 \pm 0.008\,$mm | $0.004 \pm 0.006\,$mm | $1.89\,$mm | $ 11.37\,$mm Fully matched 3-prong | $10.1 \pm 0.2\,\mu$m | $0.2 \pm 0.1\,\mu$m | $14.4\,\mu$m | $36.9\,\mu$m
    Partially matched | $11.3 \pm 0.5\,\mu$m | $-0.1 \pm 0.2\,\mu$m | $20.9\,\mu$m | $72.2\,\mu$m
    Combined | $10.5 \pm 0.2\,\mu$m | $0.1 \pm 0.1\,\mu$m | $16.4\,\mu$m | $48.1\,\mu$m
    ----- Caption: -----
    Resolution and mean of the distribution of residuals of the secondary vertex position in the directions parallel and transverse to that of the reconstructed momentum vector of the $\tau_{had}$ candidate as obtained from the adaptive vertex fitter. Candidates with up to three associated tracks reconstructed by the track-based algorithm were used. The resolution quoted is the $\sigma$ of the core Gaussian of a double Gaussian fit in the range $[-4\,$mm$, 4\,$mm$]$ in the parallel direction and $[-50\,\mu$m$, 50\,\mu$m$]$ in the transverse direction. The 68.3\% and 95\% coverages are also quoted.
 

Revision 42008-07-21 - ChristophAnders

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Tau leptons in Standard Model processes

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The track multiplicity spectrum of accepted $\tau_{had}$ candidates after selection as described in the text with thresholds respectively $E_T^{miss} > 50$ GeV (left)
Line: 259 to 262
 
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Left: The reconstructed visible mass of the $(\ell \tau_{had})$ pair for $Z \to \tau \tau$~ decays (solid line) and
Line: 273 to 276
 
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Combined $b$-tagging weights using impact parameter and secondary vertex information for the first two leading $E_{T}$
Line: 331 to 335
 
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Revision 32008-07-19 - ChristophAnders

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Transverse (left) and longitudinal (right) impact parameter resolution as a function of $|\eta|$ from a one-prong $Z
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  $\tau\to\pi(\pi^0)\nu$ ($\tau\to\mu\nu\bar\nu$) events.
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Significances of the impact parameters $d_0$ (\rm{left) and $z_0 \sin(\theta)$ (\rm{right}) for 1-prong $\tau_{had}$
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Residuals of the secondary vertex position parallel and perpendicular to the direction of flight of the $\tau_{had$ candidate
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Resolution on the transverse flight path reconstructed with the adaptive vertex fitter for fully matched three-prong $\tau_{had$
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Revision 22008-07-19 - ChristophAnders

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S.Haywood at rl.ac.uk (or failing that, edward.moyse at cern.ch)
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TauCSCPlots

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Figures and captions from the short tau csc note.

Introduction

  • tau_et_cor.eps
    tau_et_cor2_type2.eps
    Caption:
    The visible transverse energy of $\tau$ leptons from different physics processes: top quark decays, W/Z production, Standard Model vector boson fusion Higgs boson production for $m_H=120\GeV$ with $H \to \tau \tau$, for $\tau$ leptons from low energy Supersymmetry with a light stau (SU1 sample), heavy $Z^\prime$ bosons, and heavy Higgs bosons from $bbH$ production in the MSSM with $\tan\beta = 20(45)$ for masses of $400\GeV$ ($800\GeV$).

Performance of the ATLAS detector for tau identification

  • efficiency_vs_pt.eps
    1p_efficiency_vs_eta.eps
    Caption:
    Reconstruction efficiency for tracks from charged $\pi$s for one- and three-prong hadronic $\tau$ decays from $W \to \tau \nu$ and $Z \to \tau \tau$ signal samples as a function of the transverse momentum of the track (left) and of the pseudorapidity for three different ranges of track $\pt$ (right).

  • plot/d0_res_vs_eta
    plot/z0sintheta_res_vs_eta
    Caption:
    Transverse (left) and longitudinal (right) impact parameter resolution as a function of $|\eta|$ from a one-prong $Z \to \tau \tau$ sample. The open (full) circles are from $\tau\to\pi(\pi^0)\nu$ ($\tau\to\mu\nu\bar\nu$) events.

  • plot/d0_sig
    plot/z0_sintheta_sig
    Caption:
    Significances of the impact parameters $d_0$ (\rm{left) and $z_0 \sin(\theta)$ (\rm{right}) for 1-prong $\tau_{had}$ candidates reconstructed by the track-based algorithm. Distributions are shown for $\tau_{had}$ candidates reconstructed from $\tau$ decays and for fake candidates which do not originate from the decays of $b$- or $c$-hadrons.}

  • plot/vertex_res_transverse
    plot/vertex_res_parallel
    Caption:
    Residuals of the secondary vertex position parallel and perpendicular to the direction of flight of the $\tau_{had$ candidate using the adaptive vertex fitter. Fully (solid) and partially (open) matched three-prong $\tau_{had}$ candidates reconstructed with the track-based algorithm from $Z \to \tau\tau$ and $W \to \tau \nu$ processes are used.}

  • plot/fp_res_vs_pt_13030
    plot/fp_res_vs_eta_13030
    Caption:
    Resolution on the transverse flight path reconstructed with the adaptive vertex fitter for fully matched three-prong $\tau_{had$ candidates as a function of the transverse momentum (left) and the pseudorapidity (right). Standard deviations of Gaussians fitted to central intervals covering $80\%$ of the residual distributions are shown (black points). In addition the $68.3\,\%$ and $95\,\%$ coverages of the distributions of residuals of the secondary vertex position are shown (dashed and dot-dashed lines).}

  • plot/transverse_flight_path_significance
    Caption:
    Significance of the transverse flight path for fully matched and partially matched three-prong and for fake candidates with and without hadrons containing b or c quarks (the contribution from semileptonic decays of b/c jets into $\tau$ leptons was not subtracted).

  • plot/h5025_v13030
    plot/hist5021_v13030
    Caption:
    The energy response obtained for the visible energy from $\tau\to\rho\nu$ events using candidates with one $\pi^0$ subcluster (left). The invariant mass of the visible decay products for hadronic single-prong $\tau \rightarrow\rho\nu$, $\tau \rightarrow a_1 (\rightarrow 2 \pi^0 \pi ) \nu $, and $\tau \rightarrow\pi\nu$ decays using candidates from $W\to\tau\nu$ events with at least one $\pi^0$ subcluster reconstructed (right).

  • plot/Veto_eta_taunote
    plot/Veto_ptLtrk_taunote
    Caption:
    The efficiency of the electron veto algorithm for $W\to\tau\nu$ (rectangles) and $W\to e\nu$ (triangles) events as a function of $|\eta|$ and $\textrm{p_\mathrm{\tiny{T}}}$ of the leading track.

Offline algorithms for tau reconstruction

  • plot/etratio_vs_et
    plot/etratio_vs_eta
    Caption:
    The ratio of the reconstructed ($E_T$) and the true ($\et^{\tau-vis}$) transverse energy of the hadronic $\tau$ decay products is shown as a function of the visible true transverse energy $E_T^\mathrm{\tau,\,vis}$ (left), calculated in $|\eta| < 2.5$ and $|\eta|$ (right) for taus from $Z \to \tau \tau$ (triangles) and $ A\to\tau\tau$ with $m_A= 800$~GeV (squares) decays. The ordinate value is the mean and the error bars correspond to the sigma of the Gaussian fit performed in the range $0.8<E_T/E_T^\mathrm{\tau,\,vis}<1.2 $. The results are obtained after applying the loose likelihood selection, see below.

  • plot/emrad_bin2
    plot/etawidth_bin2
    plot/isol_bin2
    plot/etoverpt1_bin2
    Caption:
    The distributions of a few discriminating variables (electromagnetic radius, energy isolation, transverse energy width in the $\eta$ strip layer and \et \ over $p_{T1}$ of the leading track) used in the calorimeter-based tau identification for true tau decays and jets with visible transverse cluster energies $\et$ in the range from 40 to 60 GeV and track multiplicities between 1 and 3.

  • plot/llh_publicnote
    plot/rej_plot_publicnote}
    Caption:
    Left: The log likelihood (LLH) distribution for $\tau$ leptons (solid) and jets from QCD production (dashed). The likelihood is applied after a preselection on the number of associated tracks, i.e. requiring $ 1 \le N_{tr} \le 3 $. (Candidates with LLH $< -10$ had variables outside the boundaries of histograms used when obtaining the PDFs for the likelihood calculation). Right: Efficiency for $\tau$ leptons and rejection against jets for different $\et$ ranges, achieved with the likelihood selection.

  • plot/h1108-005107
    plot/h1308-005107
    Caption:
    The fractional energy response for single-prong (left) and three-prong (right) true $\tau_{had}$ candidates reconstructed with the track-based algorithm. Events from a $W\to\tau\nu$ sample are shown.

  • plot/hist1506-005107
    plot/hist1510-005107
    plot/hist1608-005107
    plot/hist1607-005107
    Caption:
    The distributions for signal and backgrounds for the visible mass $m_{vis}^{eflow}$ and ratio of the transverse energy in the isolation and core region $E_T^{isol}/E_T^{core}$ for single-prong candidates, and variance $W_\mathrm{tracks}^\tau$ and invariant mass of the track system $m^{trk3p}$ for three-prong candidates. Distributions are shown for the candidates in the transverse energy range $E_T = 20-40$ GeV.

  • plot/rej_005189_nocut_NN
    plot/detpaper_rejplot_eveto
    Caption:
    Expected performance for the track-based algorithm with a neural-network selection (left) and the calorimeter-based algorithm with the likelihood selection (right). The rejection rates against jets from Monte-Calo particles as a function of the efficiency for hadronic $\tau$ decays for various ranges of the visible transverse energy are shown. For signal events $Z \to \tau \tau$ and $ bbH, H \to \tau \tau$ with $m_H=800$ GeV were used, for the background QCD dijet samples were used.

  • plot/h1503s-005189
    plot/h1503b-00dijet
    Caption:
    Track multiplicity distributions obtained for hadronic $\tau$ decays with a visible transverse energy above 20~GeV and below 60 GeV using the track-based $\tau$ identification algorithm. The distributions are shown after reconstruction, after cut-based identification and finally after applying the neural network (NN) discrimination technique for an efficiency of~30\% for the signal (left) and the background (right).

  • plot/trkmult_Ztautau_bin1
    plot/trkmult_QCD_bin1
    Caption:
    Track multiplicity distributions obtained for hadronic $\tau_{had}$-decays with visible transverse energy above 20~GeV and below 60 GeV using the calorimeter-based $\tau$ identification. The distributions are shown after reconstruction and after applying the likelihood discrimination technique (medium selection) for the signal (left) and the background (right).

Fake-rates from QCD di-jet samples

  • plot/tauRec_FakeRate_deltaPhi
    plot/tauRec_FakeRate_Pt
    Caption:
    Example of selections on a MC dijet sample, generated with $70\le p_\mathrm{T} \le140\GeV$. The two jets have to fulfill $\Delta\phi\ge(\pi -0.3)$ in order to be back to back in $\phi$ (left) and have similar $p_\mathrm{T}$ values (right).

Tau leptons in Standard Model processes

  • plot/etmiss50sf
    plot/etmiss60sf
    Caption:
    The track multiplicity spectrum of accepted $\tau_{had}$ candidates after selection as described in the text with thresholds respectively $E_T^{miss} > 50$ GeV (left) and $E_T^{miss} > 60$ GeV (right). The expected event numbers are given for an integrated luminosity of 100~pb$^{-1}$.

  • plot/signbackvis_may21.eps
    plot/scalataurec_mar26
    Caption:
    Left: The reconstructed visible mass of the $(\ell \tau_{had})$ pair for $Z \to \tau \tau$~ decays (solid line) and QCD, $W \to \ell \nu$, $Z \to \ell \ell$ backgrounds (dashed line). Right: The reconstructed visible mass of the $(\ell \tau_{had})$ pair from $Z \to \tau \tau$~ decays as a function of the $\tau_{had}$ energy scale (right). The dashed lines correspond to $\pm 1 \sigma$ and $\pm 3 \sigma$ with respect to the reconstructed peak position. The results were obtained with the calorimeter-based algorithm.

  • plot/plot_btag_csc_styleatlas_corr_a
    plot/plot_btag_csc_styleatlas_corr_b
    Caption:
    Combined $b$-tagging weights using impact parameter and secondary vertex information for the first two leading $E_{T}$ jets, both in $t\bar{t} \rightarrow W(e \nu_{e}, \mu\nu_{\mu})W(\tau_{had}\nu_{\tau})b\bar{b}$ and $W+3~jets$ background. The $e~\tau$ ($\mu~\tau$) channel is shown on the left (right). The cut value of 7 on the b-tagging weight is indicated with the arrows. An integrated luminosity of $100~\ipb$ of data is assumed.

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