Combination of Standard Model Higgs boson searches and measurements of the properties of the new boson with a mass near 125 GeV
This is a condensed description with plots for the analysis CMSHIG12045
Abstract
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Sensitivities
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The median expected 95% CL upper limits on the cross section ratio σ/σ_{SM} in the absence of a Higgs boson as a function of the SM Higgs boson mass in the range 110–1000 GeV (left) and 110–145 GeV (right), for the five Higgs boson decay channels. Here σ_{SM} denotes the cross section predicted for the SM Higgs boson. A channel showing values below unity (dotted red line) would be expected to be able to exclude a Higgs boson of that mass at 95% CL. The jagged structure in the limits for some channels results from the different event selection criteria employed in those channels for different Higgs boson mass subranges. 

The median expected pvalue for observing an excess at mass m_{H} in assumption that the SM Higgs boson with this mass exists, as a function of the SM Higgs boson mass in the range 110–1000 GeV (left) and 110–145 GeV (right). Expectations for subcombinations in five Higgs boson decay channels and the overall combination are shown. 
Exclusion limits on the SM Higgs boson
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The CL_{s} values for the SM Higgs boson hypothesis as a function of the Higgs boson mass. The observed values are shown by the solid line. The dashed line indicates the expected median of results for the background only hypothesis, while the green (dark) and yellow (light) bands indicate the ranges that are expected to contain 68% and 95% of all observed excursions from the median, respectively. The three horizontal lines on the CL_{s} plot show confidence levels of 90%, 95%, and 99%, defined as (1–CL_{s}). 

The 95% CL upper limits on the cross section ratio σ/σ_{SM} for the SM Higgs boson hypothesis as function of the Higgs boson mass. The observed values are shown by the solid line. The dashed line indicates the expected median of results for the background only hypothesis, while the green (dark) and yellow (light) bands indicate the ranges that are expected to contain 68% and 95% of all observed excursions from the median, respectively. 
Significance of the observed excess
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The observed local pvalue p_{0} for 7!TeV, 8!TeV data, and their combination as a function of the SM Higgs boson mass. The dashed lines show the expected local pvalue p_{0}(m_{H}), should a Higgs boson with a mass m_{H} exist. 

The observed local pvalue p_{0} for five subcombinations by decay mode and the overall combination as a function of the SM Higgs boson mass. The dashed lines show the expected local pvalue p_{0}(m_{H}), should a Higgs boson with a mass m_{H} exist. 

The observed local pvalue p_{0} for γγ, ZZ and their combination as a function of the SM Higgs boson mass. The dashed lines show the expected local pvalue p_{0}(m_{H}), should a Higgs boson with a mass m_{H} exist. 

The observed local pvalue p_{0} for WW, bb, ττ and their combination as a function of the SM Higgs boson mass. The dashed lines show the expected local pvalue p_{0}(m_{H}), should a Higgs boson with a mass m_{H} exist. 
Mass of the observed state
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(Left) 1D test statistics q(m_{H}) scan vs hypothesized Higgs boson mass m_{H} for the γγ and 4l final states separately and for their combination. In this combination, three independent signal strengths gg → H → γγ, VBF+VH → H → γγ, and H → ZZ → 4l are proﬁled together with all other nuisance parameters. (Right) 2D 68% CL contours for a hypothesized Higgs boson mass m_{H} and signal strength σ/σ_{SM} for the γγ and 4l, and their combination. In this combination, the relative signal strengths for the three final states are constrained by the expectations for the SM Higgs boson. 

1D test statistics q(m_{H}) scan vs hypothesized Higgs boson mass m_{H} for the combination of the high resolution channels. 1Dscans of the test statistic q(m_{X}) versus hypothesized boson mass m_{X} for the combination of the γ&gamma and 4l final states. The solid line is obtained with all nuisance parameters profiled and, hence, includes both statistical and systematic uncertainties. The dashed line is obtained with all nuisance parameters fixed to their bestfit values and, hence, includes only statistical uncertainties. The crossings with the thick (thin) horizontal lines define the 68\% (95\%) CL interval for the measured mass. 
Additional plots
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\ 
1D test statistics –2 ln Q vs hypothesized Higgs boson mass m_{H} for the diphoton final state. The solid line is obtained with all nuisance parameters profiled and, hence, includes both statistical and systematic uncertainties. The dashed line is obtained with all nuisance parameters fixed to their bestfit values and, hence, includes only statistical uncertainties. The crossings with the thick (thin) horizontal lines define the 68\% (95\%) CL interval for the measured mass. 
\ 
1D test statistics –2 ln Q vs hypothesized Higgs boson mass m_{H} for the fourlepton final state. The solid line is obtained with all nuisance parameters profiled and, hence, includes both statistical and systematic uncertainties. The dashed line is obtained with all nuisance parameters fixed to their bestfit values and, hence, includes only statistical uncertainties. The crossings with the thick (thin) horizontal lines define the 68\% (95\%) CL interval for the measured mass. 

2D test statistics –2 ln Q vs hypothesized Higgs boson mass m_{H} and signal strength σ/σ_{SM} for the combination of the high resolution channels. The cross indicates the bestfit values. The solid, dashed, and dotted contours show the 68%, 95%, and 99.7% CL ranges, respectively. In this combination, the relative signal strengths for the various final states are constrained by the expectations for the SM Higgs boson. 

2D test statistics –2 ln Q vs hypothesized Higgs boson mass m_{H} and signal strength σ/σ_{SM} for the diphoton final state. The cross indicates the bestfit values. The solid, dashed, and dotted contours show the 68%, 95%, and 99.7% CL ranges, respectively. In this combination, the relative signal strengths for the various production modes are constrained by the expectations for the SM Higgs boson. 

2D test statistics –2 ln Q vs hypothesized Higgs boson mass m_{H} and signal strength σ/σ_{SM} for the fourlepton final state. The cross indicates the bestfit values. The solid, dashed, and dotted contours show the 68%, 95%, and 99.7% CL ranges, respectively. 
Compatibility of the observed state with the SM Higgs boson hypothesis: signal strengths
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The observed bestfit signal strength μ̂ = σ/σ_{SM} as a function of the SM Higgs boson mass in the range 110–145 GeV. The bands correspond to the ±1σ uncertainties on the μ̂ values. 

Values of μ̂ = σ/σ_{SM} for the combination (solid vertical line) and for contributing channels (points). The vertical band shows the overall μ̂ value 0.88 ± 0.21. The horizontal bars indicate the ±1σ uncertainties on the μ̂ values for individual channels; they include both statistical and systematic uncertainties. 

Values of μ̂ = σ/σ_{SM} for the combination (solid vertical line) and for subcombinations grouped by decay mode (points). The vertical band shows the overall μ̂ value 0.88 ± 0.21. The horizontal bars indicate the ±1σ uncertainties on the μ̂ values for individual channels; they include both statistical and systematic uncertainties. 

Values of μ̂ = σ/σ_{SM} for the combination (solid vertical line) and for subcombinations grouped by a signature enhancing specific production mechanisms (points). The vertical band shows the overall μ̂ value 0.88 ± 0.21. The horizontal bars indicate the ±1σ uncertainties on the μ̂ values for individual channels; they include both statistical and systematic uncertainties. 

(Left plot) The 68% CL (solid lines) and (right plot) 68% CL (solid line) and 95% CL (dashed line) intervals for signal strength in the gluongluonfusionplusttH and in VBFplusVH production mechanisms: μ_{gg+ttH} and μ _{VBF+VH}, respectively. The different colors show the results obtained by combining data from each of the five analayzed decay modes: γγ (green), WW (blue), ZZ(red), ττ (violet), bb (cyan). The crosses indicate the bestfit values. The diamond at (1,1) indicates the expected values for the SM Higgs boson. 
Additional plots
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68% CL intervals of μ̂ = σ/σ_{SM} for the combination (vertical band) and for contributing channels (red lines) computed using the FeldmanCousins construction. 

The 68% CL (solid lines) intervals for signal strength in the gluongluonfusionplusttH and in VBFplusVH production mechanisms: μ_{ggH+ttH} and μ _{VBF+VH}, respectively using the FeldmanCousins construction. The different colors show the results obtained by combining data from each of the five analayzed decay modes: γγ (green), WW (blue), ZZ(red), ττ (violet), bb (cyan). The crosses indicate the bestfit values. The diamond at (1,1) indicates the expected values for the SM Higgs boson. 

Values of μ̂ = σ/σ_{SM} for the the individual channels. The horizontal bars indicate the ±1σ uncertainties on the μ̂ values for individual channels; they include both statistical and systematic uncertainties. The vertical dashed line indicates the prediction for a SM Higgs boson. 

Values of μ̂ = σ/σ_{SM} for the subcombinations by decay mode. The horizontal bars indicate the ±1σ uncertainties on the μ̂ values for individual channels; they include both statistical and systematic uncertainties. The vertical dashed line indicates the prediction for a SM Higgs boson. 

Values of μ̂ = σ/σ_{SM} for the subcombinations grouped by a signature enhancing specific production mechanisms. The horizontal bars indicate the ±1σ uncertainties on the μ̂ values for individual channels; they include both statistical and systematic uncertainties. The vertical dashed line indicates the prediction for a SM Higgs boson. 
Numbers
The tables below contain the same information that is shown in figures 10a10c of the HIG12045 PAS.
Channel 
μ̂ = σ/σ_{SM} 
by decay mode 
value 
uncertainty 
H → bb 
+1.075 
0.566/+0.593 
H → ττ 
+0.875 
0.484/+0.508 
H → γγ 
+1.564 
0.419/+0.460 
H → WW 
+0.699 
0.232/+0.245 
H → ZZ 
+0.807 
0.280/+0.349 
by production tag and decay mode 
value 
uncertainty 
H → bb (VH tag) 
+1.309 
0.601/+0.654 
H → bb (ttH tag) 
0.798 
1.840/+2.100 
H → ττ (0/1 jet) 
+0.845 
0.657/+0.684 
H → ττ (VBF tag) 
+0.819 
0.746/+0.824 
H → ττ (VH tag) 
+0.861 
1.678/+1.924 
H → γγ (untagged) 
+1.428 
0.457/+0.502 
H → γγ (VBF tag) 
+2.256 
1.017/+1.286 
H → WW (0/1 jet) 
+0.774 
0.247/+0.270 
H → WW (VBF tag) 
0.046 
0.552/+0.737 
H → WW (VH tag) 
0.305 
1.943/+2.223 
H → ZZ 
+0.807 
0.280/+0.349 
by production tag 
value 
uncertainty 
Untagged 
+0.891 
0.186/+0.208 
VBF tag 
+0.915 
0.477/+0.526 
VH tag 
+1.135 
0.547/+0.597 
ttH tag 
0.798 
1.840/+2.100 
Tests of the Couplings
Test of Fermion and Vector Boson Couplings
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2D test statistics q(κ_{V}, κ_{F}) scan. 

2D test statistics q(κ_{V}, κ_{F}) scan, including individual channels. 

1D test statistics q(κ_{V}) scan, profiling κ_{F}. 

1D test statistics q(κ_{F}) scan, profiling κ_{V}. 

1D test statistics q(κ_{V}) scan, if κ_{F} is fixed to the SM value. 

1D test statistics q(κ_{F}) scan, if κ_{V} is fixed to the SM value. 
Test of Custodial Symmetry
Using only untagged WW and ZZ events and assuming SM couplings to fermions
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1D test statistics q(λ_{WZ}) scan vs the coupling modifier ratio λ_{WZ}, profiling the coupling modifier κ_{Z} and all other nuisances. The coupling to fermions is taken to be the SM one (κ_{F} = 1). 

2D test statistics q(λ_{WZ}, κ_{Z}) scan, profiling all other nuisances. 
Using all channels, and without assumption on the couplings to fermions (except their universality)
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1D test statistics q(λ_{WZ}) scan vs the coupling modifier ratio λ_{WZ}, profiling the coupling modifiers κ_{Z} and κ_{F} and all other nuisances. 

2D test statistics q(λ_{WZ}, κ_{Z}) scan, profiling the coupling modifier to fermions κ_{F} and all other nuisances. 

2D test statistics q(λ_{WZ}, κ_{F}) scan, profiling the coupling modifier to the Z boson κ_{Z} and all other nuisances. 

2D test statistics q(κ_{Z}, κ_{F}) scan, profiling the modifier to the ratio of W and Z couplings λ_{WZ} and all other nuisances. 
Test of Fermion Universality
Uptype vs Downtype Fermions
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1D test statistics q(λ_{du}) scan vs the coupling modifier ratio λ_{du}, profiling the coupling modifiers κ_{u} and κ_{V} and all other nuisances. κ_{u} and κ_{V} are always taken to be positive. 

2D test statistics q(λ_{du}, κ_{u}) scan, profiling the coupling modifier to vector bosons κ_{V} and all other nuisances. κ_{u} and κ_{V} are always taken to be positive. 

2D test statistics q(λ_{du}, κ_{V}) scan, profiling the coupling modifier to the uptype fermions κ_{u} and all other nuisances. κ_{u} and κ_{V} are always taken to be positive. 

2D test statistics q(κ_{V}, κ_{u}) scan, profiling the modifier to the ratio of uptype and downtype couplings λ_{du} and all other nuisances. 
Leptons vs Quarks
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1D test statistics q(λ_{lq}) scan vs the coupling modifier ratio λ_{lq}, profiling the coupling modifiers κ_{q} and κ_{V} and all other nuisances. κ_{q} and κ_{V} are always taken to be positive. 

2D test statistics q(λ_{lq}, κ_{q}) scan, profiling the coupling modifier to vector bosons κ_{V} and all other nuisances. κ_{q} and κ_{V} are always taken to be positive. 

2D test statistics q(λ_{lq}, κ_{V}) scan, profiling the coupling modifier to the quarks κ_{q} and all other nuisances. κ_{q} and κ_{V} are always taken to be positive. 

2D test statistics q(κ_{V}, κ_{q}) scan, profiling the modifier to the ratio of lepton to quark couplings λ_{lq} and all other nuisances. 
Search for Beyond Standard Model Physics in Loops
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2D test statistics q(κ_{g}, κ_{γ}) scan. 

1D test statistics q(κ_{g}) scan, profiling the modifier to the effective coupling to photons κ_{γ}. 

1D test statistics q(κ_{γ}) scan, profiling the modifier to the effective coupling to gluons κ_{g}. 
Search for Beyond Standard Model Physics in Loops and Decays
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1D test statistics q(BR_{BSM}) scan, profiling the modifier to the effective coupling to photons and gluons κ_{γ}, κ_{g}. 

2D test statistics q(κ_{g}, BR_{BSM}) scan, profiling the modifier to the effective coupling to photons κ_{γ}. 

2D test statistics q(κ_{g}, κ_{γ}) scan, profiling the branching ratio to BSM decays BR_{BSM}. 
Generic search for deviations in the couplings
The search is performed with six independent coupling modifiers κ
_{V}, κ
_{b}, κ
_{τ}, κ
_{t}, κ
_{g}, κ
_{γ}
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1D test statistics q(κ_{V}) scan, profiling the other five coupling modifiers. 

1D test statistics q(κ_{b}) scan, profiling the other five coupling modifiers. 

1D test statistics q(κ_{τ}) scan, profiling the other five coupling modifiers. 

1D test statistics q(κ_{t}) scan, profiling the other five coupling modifiers. 

1D test statistics q(κ_{γ}) scan, profiling the other five coupling modifiers. 

1D test statistics q(κ_{g}) scan, profiling the other five coupling modifiers. 

2D test statistics q(κ_{V}, κ_{γ}) scan, profiling the other four coupling modifiers. 

2D test statistics q(κ_{g}, κ_{b}) scan, profiling the other four coupling modifiers. 

2D test statistics q(κ_{b}, κ_{τ}) scan, profiling the other four coupling modifiers. 