Dag Gillberg 2016-08-31 Carleton University
Prospects of Prospects of combined measurements of combined - - PowerPoint PPT Presentation
Prospects of Prospects of combined measurements of combined - - PowerPoint PPT Presentation
Prospects of Prospects of combined measurements of combined measurements of Higgs boson properties Higgs boson properties Dag Gillberg Carleton University 2016-08-31 Outline Outline LHC Schedule Run-1
Dag Gillberg (Carleton)
Outline
- Outline
- LHC Schedule
- Run-1 highlights of Higgs boson measurements
- Run-2 first Higgs results
- Projections of Higgs boson results
- LHC and ATLAS detector upgrades
- Mass
- Couplings
- Rare decays
- Di-Higgs production
2
Dag Gillberg (Carleton)
LHC Schedule
3
- LHC operates very well:
current data acquisition exceeds expectation
- Higher centre-of-mass energy means larger cross sections
ggF, VBF, VH: ~ ⨉2, ttH ⨉4 (similar for associated backgrounds)
- Expect
- 30 fb-1 @ 13 TeV by end of 2016
- 120 fb-1 @ 13-13.5 TeV by end or Run-2, 2018
- ~300 fb-1 @ 13-14 TeV by end of Run-3, 2023
- ~3000 fb-1 @ 14 TeV, HL-LHC, 2026-2037
13.5 TeV?
30+120 = 150
2026-2037
- I. Run-1 highlights
based on ~25 fb-1 7-8 TeV data
Dag Gillberg (Carleton)
Run-1 Higgs boson highlights
5
Bertrand Laforge, ICHEP 2016
[GeV]
bb
m 50 100 150 200 250 Weighted events after subtraction / 20.0 GeV 2 4 6 8 10
Data 2012 =1.0) µ VH(bb) ( Diboson Uncertainty
ATLAS
- 1
Ldt = 20.3 fb
∫
= 8 TeV s 0+1+2 lep., 2+3 jets, 2 tags Weighted by Higgs S/B
H→bb 1.7σ (2.7σ)
(S / B)
10
log
- 4
- 3
- 2
- 1
1 Events / bin 1 10
2
10
3
10
4
10
ATLAS
- 1
, 20.3 fb
= 8 TeV s
- 1
, 4.5 fb
= 7 TeV s
τ τ → H
Data =1.4) µ Background ( =0) µ Background ( =1.4) µ ( τ τ → (125) H =1) µ ( τ τ → (125) H
H→ττ 4.5σ (3.4σ)
200 400 600 800 50 100 150 200 250 50 100 150 stat ± Obs syst ± Bkg Higgs WW Misid VV Top DY Bkg
- Obs
syst ± Bkg Higgs (b) Background-subtracted [GeV]
T
m Events / 10 GeV µ µ ee/ + µ e , 1 ≤
j
n (a) Events / 10 GeV
ATLAS
- 1
fb 20.3 TeV, =8 s
- 1
fb 4.5 TeV, =7 s
WW* → H
H→WW* 6.8σ (5.8σ)
[GeV]
l 4
m 80 90 100 110 120 130 140 150 160 170 Events / 2.5 GeV 5 10 15 20 25 30 35
Data = 1.51) µ = 125 GeV
HSignal (m Background ZZ* t Background Z+jets, t Systematic uncertainty
l 4 → ZZ* → H
- 1
Ldt = 4.5 fb
∫
= 7 TeV s
- 1
Ldt = 20.3 fb
∫
= 8 TeV s
ATLAS
H→ZZ* 8.1σ (6.2σ)
[GeV]
γ γm
110 120 130 140 150 160 weights - fitted bkg
∑
- 5
5 10
weights / GeV
∑
20 40 60 80 100 120 140 160 180 Data Signal+background Background Signal = 7 TeV s ,
- 1
dt = 4.5 fb L
∫
= 8 TeV s ,
- 1
dt = 20.3 fb L
∫
S/B weighted sum Signal strength categories = 125.4 GeV
Hm
ATLAS
H→γγ 5.0σ (4.6σ)
PRD 90 (2014) 902015 PRD 91 (2015) 012006 PRD 92 (2015) 012006 JHEP 01 (2015) 069 JHEP 04 (2015) 117
σ(H → Zγ) < 11 × SM
σ(H → µµ) < 7 × SM
Observed (expected) sign. from
JHEP 08 (2016) 045
Dag Gillberg (Carleton)
h +
= 0
P
J
−
= 0
P
J
gκ =
qκ
+
= 2
P
J
<300 GeV
Tp =0
qκ
+
= 2
P
J
<125 GeV
Tp =0
qκ
+
= 2
P
J
<300 GeV
Tp
gκ =2
qκ
+
= 2
P
J
<125 GeV
Tp
gκ =2
qκ
+
= 2
P
J
q ~
- 30
- 20
- 10
10 20 30 40
ATLAS l 4 → ZZ* → H
- 1
= 7 TeV, 4.5 fb s
- 1
= 8 TeV, 20.3 fb s
νµν e → WW* → H
- 1
= 8 TeV, 20.3 fb s
γ γ → H
- 1
= 7 TeV, 4.5 fb s
- 1
= 8 TeV, 20.3 fb s Observed Expected σ 1 ± SM
+
σ 2 ± SM
+
σ 3 ± SM
+
σ 1 ±
P
J σ 2 ±
P
J σ 3 ±
P
J
[GeV]
H
m
123 124 125 126 127 128 129
Total Stat. Syst. CMS and ATLAS Run 1 LHC
Total Stat. Syst. l +4 γ γ CMS + ATLAS 0.11) GeV ± 0.21 ± 0.24 ( ± 125.09 l 4 CMS + ATLAS 0.15) GeV ± 0.37 ± 0.40 ( ± 125.15 γ γ CMS + ATLAS 0.14) GeV ± 0.25 ± 0.29 ( ± 125.07 l 4 → ZZ → H CMS 0.17) GeV ± 0.42 ± 0.45 ( ± 125.59 l 4 → ZZ → H ATLAS 0.04) GeV ± 0.52 ± 0.52 ( ± 124.51 γ γ → H CMS 0.15) GeV ± 0.31 ± 0.34 ( ± 124.70 γ γ → H ATLAS 0.27) GeV ± 0.43 ± 0.51 ( ± 126.02
Run-1 Higgs boson results
- Precision of mass measurement: 0.2% 240 MeV
- Statistically limited, especially for ZZ*→4l : stat error ≈ 10 ⨉ syst error
- Consistent with SM spin/CP expectation 0+
Alternative models (spin 2, negative parity, etc.) excluded at at least 99.9% CL 6 Higgs boson mass Spin/CP
˜ q
EPJC 75 (2015) 476 PRL 114 (2015) 191803
Dag Gillberg (Carleton)
V
κ
0.4 0.6 0.8 1 1.2 1.4 1.6 1.8
F
κ
4 − 3 − 2 − 1 − 1 2 3 4
ATLAS
- 1
= 7 TeV, 4.5-4.7 fb s
- 1
= 8 TeV, 20.3 fb s = 125.36 GeV
H
m
γ γ → H ZZ* → H WW* → H τ τ → H bb → H Combined
SM 68% CL Best fit 95% CL
(a)
ggF+ttH f
µ
2 − 1 − 1 2 3 4 5 6 7
VBF+VH f
µ
2 − 1 − 1 2 3 4 5 6 7
ATLAS
- 1
= 7 TeV, 4.5-4.7 fb s
- 1
= 8 TeV, 20.3 fb s = 125.36 GeV
Hm WW* → H ZZ* → H bb → H γ γ → H τ τ → H Standard Model Best fit 68% CL 95% CL
Run-1 Higgs boson results
- The Higgs boson production and decay were
studied using
- Dedicated analyses in 7 different decay
modes (γγ, ZZ*, WW*, bb, ττ, Zγ, µµ)
- Full Run-1 dataset: ~25 fb-1
- All results are consistent with the Standard
Model expectation
- “Micro-anomalies”:
H→bb low by ~2.5σ, ttH high by ~2.3σ
7
EPJC (2016) 76:6
Dag Gillberg (Carleton)
Run-1 Higgs boson results
- Differential cross sections and normalized shapes of kinematic distributions
measured both in individual channels (fiducial regions of γγ, ZZ*, WW*) and combined (γγ+ZZ*), correcting for acceptances and branching ratio
- Higgs boson pT, jet multiplicity, mjj, etc.
- “Micro-anomalies”: pT,H spectrum harder and more jets (see below)
p-value for SM-agreement: 4% (8%) or better for norm+shape (shape-only)
8
- Phys. Rev. Lett. 115 (2015) 091801
20 40 60 80 100 120 140 160 180 200 [pb/GeV]
H T
p / d σ d
2 −
10
1 −
10 1
XH +
ES
HR H b b + H t t + VH = VBF + XH
H → pp
ATLAS
data, tot. unc.
- syst. unc.
- 1
= 8 TeV, 20.3 fb s
[GeV]
H T
p
20 40 60 80 100 120 140 160 180 200
HRes
Ratio to
2 4
| [pb] 40
1 2 3 4 5 6 [pb] σ
1 10
2
10
XH 8 +
Y
+P
NLOPS
N XH 8 +
Y
+P
MG5_aMC@NLO
XH +
HERPA 2.1.1
S XH STWZ + XH BLPTW +
H b b + H t t + VH = VBF + XH
H → pp
ATLAS
data, tot. unc.
- syst. unc.
- 1
= 8 TeV, 20.3 fb s > 30 GeV
jet T
p = 0.4, R
t
k anti-
jets
N
1 ≥ 2 ≥ 3 ≥ = 0 = 1 = 2
NNLOPS
Ratio to 2 4
- II. Current Run-2 results
H→γγ, 13.3 fb-1 H→ZZ→4l, 14.8 fb-1 See talk by Yusheng Wu for details on the individual analyses
Dag Gillberg (Carleton)
[TeV]
s 7 8 9 10 11 12 13
[pb]
H → pp
σ 20 40 60 80 100 ATLAS Preliminary
= 125.09 GeV
H
m
H → pp
σ
QCD scale uncertainty
)
s
α PDF+ ⊕ (scale
- Tot. uncert.
γ γ → H l 4 → * ZZ → H
- comb. data
- syst. unc.
- 1
= 7 TeV, 4.5 fb s
- 1
= 8 TeV, 20.3 fb s *) ZZ (
- 1
), 14.8 fb γ γ (
- 1
= 13 TeV, 13.3 fb s
pp→H cross section (γγ+4l)
10
- Extracted event yields after
analysis selection (without further categorization) are converted to a production cross section:
- Profile likelihood ratio fit with
systematics implemented as ~200 nuisance parameters used
σpp→H = ndata ε L × 1 BSM ASM
Fiducial cross section BR and acc. Fiducial → total extrapolation
boson mass of 125.09 GeV [9]. Decay channel Total cross section (pp → H + X) √s =7 TeV √s =8 TeV √s =13 TeV H → 35+13
−12 pb
30.5+7.5
−7.4 pb
37+14
−13 pb
H → ZZ∗ → 4` 33+21
−16 pb
37+9
−8 pb
81+18
−16 pb
Combination 34 ± 10 (stat.) +4
−2 (syst.) pb
33.3+5.5
−5.3 (stat.) +1.7 −1.3 (syst.) pb
59.0+9.7
−9.2 (stat.) +4.4 −3.5 (syst.) pb
SM predictions [7] 19.2 ± 0.9 pb 24.5 ± 1.1 pb 55.5+2.4
−3.4 pb
Dag Gillberg (Carleton)
Run-2 Higgs boson couplings
- Targeting Higgs production mode with dedicated
analysis event categories: 13 for γγ, 5 for ZZ→4l.
- Combined fits for cross sections and coupling
parameters performed using these categories
- Global signal strength:
~10σ (8.6σ) significance
- Fitted production mode cross sections (below and
right) consistent with SM expectation
11
VBF vs ggF SM BR assumed
- III. Projected results
- 120 fb-1 @ 13-13.5 TeV by end or Run-2, 2018
- ~300 fb-1 @ 13-14 TeV by end of Run-3, 2023
- ~3000 fb-1 @ 14 TeV, HL-LHC, 2026-2037 (Runs 4&5)
Dag Gillberg (Carleton)
Detector upgrades
13
HL-LHC
- During the HL-LHC
beam intensity will increase to ⨉7.5 the design intensity
- Major detector detector
upgrades needed
- Main detector improvements with implications on physics:
- New all-silicon tracker with significantly improved fwd. coverage: |η|<4 (now 2.5)
- Improved granularity of forward calorimeter
- Improved triggering capabilities
- New high-granularity timing detector in the forward region
- Will improve capabilities to suppress pileup, in particular in the forward region:
→ enhanced precision to study events with VBF topology
- Projections for Run-3 (300 fb-1) and HL-LHC (3000 fb-1) derived using MC hadron-
level samples with detector smearing functions derived from full simulation of the expected upgraded detector and the correspond to the expected beam conditions
Dag Gillberg (Carleton)
Projections
14
Higgs boson mass Run-1 result γγ: ±0.43 (stat) ±0.27 (sys) GeV ZZ*: ±0.53 (stat) ±0.04 (sys) GeV ATLAS comb: ±0.36 GeV due to smaller systematics, ZZ will drive the mass measurement by the end of Run-2 (120 fb-1): ~±0.20 GeV
All H→γγ H→ZZ→4l
H→WW*→lνlν
13.3 0.75M 600 20 400 120 7M 6,000 200 4,000 300 17M 14,000 500 10,000 3000 170M 140,000 5,000 100,000
L [fb−1]
Expected event yields After full analysis selection
(rough approximation)
Goals for ATLAS Higgs physics program
- Improve precision on Higgs boson
coupling and cross section measurements
- Establish rare Higgs decays
- Study Higgs self coupling
- Search for BSM signatures
Dag Gillberg (Carleton)
µ / µ ∆ 0.2 0.4
(comb.) (VBF-like) (comb.) (incl.) (comb.) (comb.) (comb.)
ATLAS Simulation Preliminary
= 14 TeV: s
- 1
Ldt=300 fb
∫
;
- 1
Ldt=3000 fb
∫
γ γ → H ZZ → H WW → H γ Z → H b b → H τ τ → H µ µ → H γ γ → H ZZ → H WW → H γ Z → H b b → H τ τ → H µ µ → H
)
Y
κ
X
κ ( ∆ =
XY
λ ∆ 0.05 0.1 0.15 0.2 0.25
)Z γ (Z
λ
Z γ
λ
gZ
λ
Z µ
λ
Z τ
λ
bZ
λ
tg
λ
WZ
λ
gZ
κ
ATLAS Simulation Preliminary
= 14 TeV: s
- 1
Ldt=300 fb
∫
;
- 1
Ldt=3000 fb
∫
Higgs coupling measurements
15
Precision on signal strength Precision on Higgs coupling ratios: λXY = κX/κY
Higgs coupling vs mass (PR plot) ~9% ~4% ~3.5% ~2%
Global Higgs boson signal strength/ rate precision (stat+exp. unc. only): → ICHEP, 13.3 fb-1, 18% (γγ+ZZ only) → Run-2, 120 fb-1, ~7% (γγ+ZZ) → Run-3, 300 fb-1, ~5% → HL-LHC, 3 ab-1, ~2.5%
i
y
- 3
10
- 2
10
- 1
10 1 Z W t b τ µ ATLAS Simulation Preliminary
= 14 TeV s
ν l ν l → WW* → 4l, h → ZZ* → , h γ γ → h γ Z → , h µ µ → bb, h → , h τ τ → h ]
µκ ,
τκ ,
bκ ,
tκ ,
Wκ ,
Zκ [ =0
i,uBR
- 1
dt = 300 fb L
∫
- 1
dt = 3000 fb L
∫
[GeV]
i
m
- 1
10 1 10
2
10 Ratio to SM
0.8 0.9 1 1.1 1.2
ATL-PUB-2014-016
Dag Gillberg (Carleton)
Di-Higgs and rare decays
16
HH→γγbb 1.3σ excess expected w. 3 ab-1 (8 events) The Higgs boson self coupling H→Zγ→eeγ, 3.9σ excess expected in 3 ab-1 ~25% uncertainty on rate H→µµ, 7.0σ excess expected in 3 ab-1 ~21% error on rate SM sensitivity (1σ) expected with ~70 fb-1 (2018)
Combination with many other decay channels will improve the sensitivity.
ATL-PUB-2014-006 ATL-PUB-2013-014 ATL-PUB-2014-019
Dag Gillberg (Carleton)
H !ττ
· · · · · · · · ·
H ! γγ
VBF loose (MVA) high pT t VBF tight (MVA) low pT t t¯ tH leptonic VH leptonic
H !ZZ
· · · · · · · · · = 0-jet
H !W W
= 1-jet 2-jet VBF cuts
H !b¯ b
MVA high pT(V ) MVA low pT(V ) · · · · · · · · ·
σ(t¯ tH)
σ(VH)
low pV
T
high pV
T
very high pV
T
ratios of Γγγ ΓZZ ΓW W Γb¯
b Γττ
(ΓZγ Γµµ)
= 0-jet 1-jet
σ(b¯ bH) σ(tH)
Rest
σ(VBF)
2-jet VBF cuts high-q2 BSM ' 2-jet & 3-jet = 0-jet 1-jet
σ(ggF)
2-jet VBF cuts · · · · · · · · · · · · · · ·
µi, κi gk EFT coeffs specific BSM
Higgs cross sections
- Measurements of fiducial and differential cross sections will be done in individual channels
- Back-of-the-envelope precision of σ(pTH>100 GeV) for γγ+ZZ combination:
~40%, ~14%, ~5% with 13.3 fb-1, 120 fb-1, 3000 fb-1
- Simplified template cross sections provides natural way to combine different channels
→ cross sections extracted via global fit
- “Stage-0” measurements already performed for ICHEP 2016
- “Stage-1” measurements as outlined in Yellow Report 4 are in progress
17
Yellow Report 4
Dag Gillberg (Carleton)
H !ττ
· · · · · · · · ·
H ! γγ
VBF loose (MVA) high pT t VBF tight (MVA) low pT t t¯ tH leptonic VH leptonic
H !ZZ
· · · · · · · · · = 0-jet
H !W W
= 1-jet 2-jet VBF cuts
H !b¯ b
MVA high pT(V ) MVA low pT(V ) · · · · · · · · ·
σ(t¯ tH)
σ(VH)
low pV
T
high pV
T
very high pV
T
ratios of Γγγ ΓZZ ΓW W Γb¯
b Γττ
(ΓZγ Γµµ)
= 0-jet 1-jet
σ(b¯ bH) σ(tH)
Rest
σ(VBF)
2-jet VBF cuts high-q2 BSM ' 2-jet & 3-jet = 0-jet 1-jet
σ(ggF)
2-jet VBF cuts · · · · · · · · · · · · · · ·
µi, κi gk EFT coeffs specific BSM
Higgs cross sections
- Measurements of fiducial and differential cross sections will be done in individual channels
- Back-of-the-envelope precision of σ(pTH>100 GeV) for γγ+ZZ combination:
~40%, ~14%, ~5% with 13.3 fb-1, 120 fb-1, 3000 fb-1
- Simplified template cross sections provides natural way to combine different channels
→ cross sections extracted via global fit
- “Stage-0” measurements already performed for ICHEP 2016
- “Stage-1” measurements as outlined in Yellow Report 4 are in progress
18
Yellow Report 4
= 0-jet
ggF
2-jet pH
T [200, 1]
BSM
pH
T [0, 60]
pH
T [60, 120]
pH
T [120, 200]
= 1-jet pH
T [200, 1]
BSM
pH
T [0, 60]
pH
T [60, 120]
pH
T [120, 200]
(+) (+) (+) (+) (+) 2-jet pHjj
T
[0, 25] pHjj
T
[25, 1]
' 2j & 3j pH
T < 200
VBF cuts
Higgs simplified template cross section, “Stage-1” ggF categorization
Dag Gillberg (Carleton)
Summary
- LHC Run-2 currently delivers data beyond expectation
- High-quality data being recorded by the ATLAS detector
- In ICHEP dataset, the Higgs boson was observed in the γγ+ZZ channels with
~10σ (8.6σ) observed (expected) significance
- Preliminary measurements of the Higgs boson cross section and couplings
examined in first Run-2 and are consistent with SM expectations
- Significant detector upgrades and improvements will be installed for HL-LHC
phase: 2026-2035, during with we expect to collect 3 ab-1 data
- In particular improvements will be made to the forward region:
tracking extended to |eta|<4 + improved calorimetry and timing detector → increase acceptance for all physics objects → improve ETmiss resolution → in particular helpful for VBF topology
- Higgs physics remains a very important part of the LHC physics program
- Improve precision of cross section and coupling measurements
- Study Higgs self coupling
- Search for rare decays and BSM signatures
19
Dag Gillberg (Carleton)
References
- ATLAS Run-1 papers
- H→γγ, H→ZZ→4l, H→WW*, H→bb, H→ττ
- Mass (ATLAS+CMS), Spin/CP, couplings, differential, couplings (ATLAS+CMS)
- ATLAS Run-2 conference note for ICHEP 2016
- ATLAS-CONF-2016-067, H→γγ
- ATLAS-CONF-2016-079, H→4l
- ATLAS-CONF-2016-081, γγ+ZZ combination
- ATLAS public projection, 300 and 3000 fb-1
- ATL-PHYS-PUB-2014-016, Higgs couplings
- ATL-PHYS-PUB-2014-017, BSM Higgs
- ATL-PHYS-PUB-2014-006, H→Zγ
- ATL-PHYS-PUB-2014-019, HH→bbγγ
- Full list:
https://twiki.cern.ch/twiki/bin/view/AtlasPublic/HiggsPublicResults
20
Dag Gillberg (Carleton)
More Run-2 coupling results
21
Parameter value norm. to SM value 4 − 2 − 2 4 6
γ γ top
B) ⋅ σ (
γ γ VHlep
B) ⋅ σ (
γ γ VHhad
B) ⋅ σ (
γ γ VBF
B) ⋅ σ (
ZZ VBF
B) ⋅ σ (
γ γ ggF
B) ⋅ σ (
ZZ ggF
B) ⋅ σ (
ATLAS Preliminary =125.09 GeV
H
m (ZZ)
- 1
), 14.8 fb γ γ (
- 1
=13 TeV, 13.3 fb s
Observed 68% CL SM Prediction
Parameter value norm. to SM value 1 2 3 4 5
ggF
σ /
VBF
σ
ZZ
/B
γ γ
B
ZZ ggF
B) ⋅ σ (
ATLAS Preliminary =125.09 GeV
H
m (ZZ)
- 1
), 14.8 fb γ γ (
- 1
=13 TeV, 13.3 fb s
Observed 68% CL SM Prediction
Dag Gillberg (Carleton)
Projected signal strengths uncertainties
22
∆µ/µ 300 fb−1 All unc. No theory unc. H → γγ (comb.) 0.13 0.09 (0j) 0.19 0.12 (1j) 0.27 0.14 (VBF-like) 0.47 0.43 (WH-like) 0.48 0.48 (ZH-like) 0.85 0.85 (ttH-like) 0.38 0.36 H → ZZ (comb.) 0.11 0.07 (VH-like) 0.35 0.34 (ttH-like) 0.49 0.48 (VBF-like) 0.36 0.33 (ggF-like) 0.12 0.07 H → WW (comb.) 0.13 0.08 (0j) 0.18 0.09 (1j) 0.30 0.18 (VBF-like) 0.21 0.20 H → Zγ (incl.) 0.46 0.44 H → b¯ b (comb.) 0.26 0.26 (WH-like) 0.57 0.56 (ZH-like) 0.29 0.29 H → ττ (VBF-like) 0.21 0.18 H → µµ (comb.) 0.39 0.38 (incl.) 0.47 0.45 (ttH-like) 0.74 0.72 3000 fb−1 All unc. No theory unc. 0.09 0.04 0.16 0.05 0.23 0.05 0.22 0.15 0.19 0.17 0.28 0.27 0.17 0.12 0.09 0.04 0.13 0.12 0.20 0.16 0.21 0.16 0.11 0.04 0.11 0.05 0.16 0.05 0.26 0.10 0.15 0.09 0.30 0.27 0.14 0.12 0.37 0.36 0.14 0.13 0.19 0.15 0.16 0.12 0.18 0.14 0.27 0.23
ATL-PUB-2014-016
Dag Gillberg (Carleton)
Expected precision on Higgs couplings
23
Nr. Coupling 300 fb−1 3000 fb−1 Theory unc.: Theory unc.: All Half None All Half None 1 κ 4.2% 3.0% 2.4% 3.2% 2.2% 1.7% κV = κZ = κW 4.3% 3.0% 2.5% 3.3% 2.2% 1.7% 2 κF = κt = κb = κτ = κµ 8.8% 7.5% 7.1% 5.1% 3.8% 3.2% κZ 4.7% 3.7% 3.3% 3.3% 2.3% 1.9% 3 κW 4.9% 3.6% 3.1% 3.6% 2.4% 1.8% κF 9.3% 7.9% 7.3% 5.4% 4.0% 3.4% κV 5.9% 5.4% 5.3% 3.7% 3.2% 3.0% 4 κu 8.9% 7.7% 7.2% 5.4% 4.0% 3.4% κd 12% 12% 12% 6.7% 6.2% 6.1% κV 4.3% 3.1% 2.5% 3.3% 2.2% 1.7% 5 κq 11% 8.7% 7.8% 6.6% 4.5% 3.6% κl 10% 9.6% 9.3% 6.0% 5.3% 5.1% κV 4.3% 3.1% 2.5% 3.3% 2.2% 1.7% 6 κq 11% 9.0% 8.1% 6.7% 4.7% 3.8% κτ 12% 11% 11% 9.2% 8.4% 8.1% κµ 20% 20% 19% 6.9% 6.3% 6.1% κZ 8.1% 7.9% 7.8% 4.3% 3.9% 3.8% κW 8.5% 8.2% 8.1% 4.8% 4.1% 3.9% 7 κt 14% 12% 11% 8.2% 6.1% 5.3% κb 23% 22% 22% 12% 11% 10% κτ 14% 13% 13% 9.8% 9.0% 8.7% κµ 21% 21% 21% 7.3% 7.1% 7.0% κZ 8.1% 7.9% 7.9% 4.4% 4.0% 3.8% κW 9.0% 8.7% 8.6% 5.1% 4.5% 4.2% κt 22% 21% 20% 11% 8.5% 7.6% κb 23% 22% 22% 12% 11% 10% 8 κτ 14% 14% 13% 9.7% 9.0% 8.8% κµ 21% 21% 21% 7.5% 7.2% 7.1% κg 14% 12% 11% 9.1% 6.5% 5.3% κγ 9.3% 9.0% 8.9% 4.9% 4.3% 4.1% κZγ 24% 24% 24% 14% 14% 14% √
ATL-PUB-2014-016