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CMS-PAS-HIG-17-011
Constraints on anomalous Higgs boson couplings in production and decay H4
Abstract: The study of the anomalous interactions of the recently discovered Higgs boson is performed using the decay information H4 and information from associated production of two quark jets, originating either from vector boson fusion or associated vector boson. The full dataset recorded by the CMS experiment during 2016 of the LHC Run-2 is used, corresponding to an integrated luminosity of 35.9 fb1 at 13 TeV. Novel techniques are used for the study of associated VBF and VH production and its combination with analysis of decay information using optimal approaches based on matrix element techniques. The tensor structure of the interactions of the spin-zero Higgs boson with two vector bosons either in production or in decay is investigated and constraints are set on anomalous HVV interactions. All observations are consistent with the expectations for the standard model Higgs boson.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1:
Illustrations of H particle production and decay gg/qˉqHZZ4± (top-left), VBF qqqqH (top-right), qˉqVVH (bottom-left), and gg/qˉqtˉtH (bottom-right). Angles and invariant masses fully characterize the orientation of the production and decay chain and are defined in the suitable rest frames [32,41,47].

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Figure 1-a:
Illustration of H particle production and decay gg/qˉqHZZ4±. Angles and invariant masses fully characterize the orientation of the production and decay chain and are defined in the suitable rest frames [32,41,47].

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Figure 1-b:
Illustration of H particle production and decay VBF qqqqH. Angles and invariant masses fully characterize the orientation of the production and decay chain and are defined in the suitable rest frames [32,41,47].

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Figure 1-c:
Illustration of H particle production and decay qˉqVVH. Angles and invariant masses fully characterize the orientation of the production and decay chain and are defined in the suitable rest frames [32,41,47].

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Figure 1-d:
Illustration of H particle production and decay gg/qˉqtˉtH. Angles and invariant masses fully characterize the orientation of the production and decay chain and are defined in the suitable rest frames [32,41,47].

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Figure 2:
Distributions of kinematic discriminants in the fa3 analysis: Dbkg (left), D0 (middle), and DCP (right). The decay or production information used in the D0 and DCP discriminants is reflected in the superscript label and depends on the tagging category as summarized in Table 3. Three tagging categories are shown: VBF-jets (top), VH-jets (middle), and untagged (bottom). Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Figure 2-a:
Distribution of the Dbkg kinematic discriminant in the fa3 analysis for tagging category "VBF-jets". Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Figure 2-b:
Distribution of the D0 kinematic discriminant in the fa3 analysis for tagging category "VBF-jets". The decay or production information used in the discriminant is reflected in the superscript label and depends on the tagging category as summarized in Table 3. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Figure 2-c:
Distribution of the DCP kinematic discriminant in the fa3 analysis for tagging category "VBF-jets". The decay or production information used in the discriminant is reflected in the superscript label and depends on the tagging category as summarized in Table 3. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Figure 2-d:
Distribution of the Dbkg kinematic discriminant in the fa3 analysis for tagging category "VH-jets". Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Figure 2-e:
Distribution of the D0 kinematic discriminant in the fa3 analysis for tagging category "VH-jets". The decay or production information used in the discriminant is reflected in the superscript label and depends on the tagging category as summarized in Table 3. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Figure 2-f:
Distribution of the DCP kinematic discriminant in the fa3 analysis for tagging category "VH-jets". The decay or production information used in the discriminant is reflected in the superscript label and depends on the tagging category as summarized in Table 3. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Figure 2-g:
Distribution of the Dbkg kinematic discriminant in the fa3 analysis for tagging category "untagged". Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Figure 2-h:
Distribution of the D0 kinematic discriminant in the fa3 analysis for tagging category "untagged". The decay or production information used in the discriminant is reflected in the superscript label and depends on the tagging category as summarized in Table 3. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Figure 2-i:
Distribution of the DCP kinematic discriminant in the fa3 analysis for tagging category "untagged". The decay or production information used in the discriminant is reflected in the superscript label and depends on the tagging category as summarized in Table 3. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Figure 3:
Distributions of kinematic discriminants in the fa2 (left), fΛ1 (middle), and fZγΛ1 (right) analyses: D0h+ (left), DΛ1 (middle), and DZγΛ1 (right). The decay or production information used in the discriminants is reflected in the superscript label and depends on the tagging category as summarized in Table 3. Three tagging categories are shown: VBF-jets (top), VH-jets (middle), and untagged (bottom). Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Figure 3-a:
Distribution of the D0h+ kinematic discriminant in the fa2 analysis, for tagging category "VBF-jets". The decay or production information used in the discriminant is reflected in the superscript label and depends on the tagging category as summarized in Table 3. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Figure 3-b:
Distribution of the DΛ1 kinematic discriminant in the fΛ1 analysis, for tagging category

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Figure 3-c:
Distribution of the DZγΛ1 kinematic discriminant in the fZγΛ1 analysis, for tagging category

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Figure 3-d:
Distribution of the D0h+ kinematic discriminant in the fa2 analysis, for tagging category "VH". The decay or production information used in the discriminant is reflected in the superscript label and depends on the tagging category as summarized in Table 3. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Figure 3-e:
Distribution of the DΛ1 kinematic discriminant in the fΛ1 analysis, for tagging category "VH". The decay or production information used in the discriminant is reflected in the superscript label and depends on the tagging category as summarized in Table 3. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Figure 3-f:
Distribution of the DZγΛ1 kinematic discriminant in the fZγΛ1 analysis, for tagging category "VH"

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Figure 3-g:
Distribution of the D0h+ kinematic discriminant in the fa2 analysis, for tagging category "untagged". The decay or production information used in the discriminant is reflected in the superscript label and depends on the tagging category as summarized in Table 3. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Figure 3-h:
Distribution of the DΛ1 kinematic discriminant in the fΛ1 analysis, for tagging category "untagged". The decay or production information used in the discriminant is reflected in the superscript label and depends on the tagging category as summarized in Table 3. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Figure 3-i:
Distribution of the DZγΛ1 kinematic discriminant in the

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Figure 4:
Observed (solid) and expected (dashed) likelihood scan of the fa3cos(ϕa3) (top-left), fa2cos(ϕa2) (top-right), fΛ1cos(ϕΛ1) (bottom-left), and fZγΛ1cos(ϕZγΛ1) (bottom-right) parameters with 35.9 fb1 of data at 13 TeV. It is assumed that ratios of anomalous couplings are real and therefore cos(ϕan)=±1.

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Figure 4-a:
Observed (solid) and expected (dashed) likelihood scan of the fa3cos(ϕa3) parameter with 35.9 fb1 of data at 13 TeV. It is assumed that ratios of anomalous couplings are real and therefore cos(ϕan)=±1.

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Figure 4-b:
Observed (solid) and expected (dashed) likelihood scan of the fa2cos(ϕa2) parameter with 35.9 fb1 of data at 13 TeV. It is assumed that ratios of anomalous couplings are real and therefore cos(ϕan)=±1.

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Figure 4-c:
Observed (solid) and expected (dashed) likelihood scan of the fΛ1cos(ϕΛ1) parameter with 35.9 fb1 of data at 13 TeV. It is assumed that ratios of anomalous couplings are real and therefore cos(ϕan)=±1.

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Figure 4-d:
Observed (solid) and expected (dashed) likelihood scan of the fZγΛ1cos(ϕZγΛ1) parameter with 35.9 fb1 of data at 13 TeV. It is assumed that ratios of anomalous couplings are real and therefore cos(ϕan)=±1.
Tables

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Table 1:
List of anomalous HVV couplings considered in the measurements assuming a spin-zero H boson. The definition of the effective fractions is discussed in the text and the translation constant is given in each case. The effective cross sections correspond to the processes H2e2μ and the Higgs boson mass assumed in this analysis mH= 125 GeV using the JHUGen [32,36,41] calculation. The cross-section ratios for the HZγ coupling include the requirement |q2i| 4 GeV.

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Table 2:
Translation between the couplings used in PO formulation [45,46] and couplings in AC or EFT formulation [20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44].

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Table 3:
Summary of three production categories in analysis of the H4 events. The discriminants D based on the matrix element likelihood calculations are defined for each category of events as discussed in text. Three BSM models are considered in definition of the categories: fa3= 1, fa2= 1, fΛ1= 1, and fZγΛ1= 1. Three observables (abbreviated as obs.) are listed for each analysis and for each category. The D0h+ discriminant is used in the fΛ1 and fZγΛ1 measurements to allow a two-parameter fit together with fa2 at a later time.

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Table 4:
Expected and observed number of events across the three categories for different signal and background production modes, using categorization as defined for the fa3 analysis. The yields for the fa3=1 hypothesis are normalized so that the total number of expected events for γγH+tˉtH and for VBF+ZH+WH are as in the Standard Model. The numbers are quoted for the 4e/4μ/2e2μ/all final states.

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Table 5:
Summary of allowed 68%CL (central values with uncertainties) and 95%CL (ranges in square brackets) intervals on anomalous coupling parameters in HVV interactions under the assumption that all the coupling ratios are real (ϕVVai= 0 or π). The expected results are quoted for the SM signal production cross section (fan= 0 and μV=μf= 1).
Summary
In this note, the study of the anomalous interactions of the recently discovered Higgs boson is performed using the decay information H4 and information from associated production of two quark jets, originating either from vector boson fusion or associated vector boson. The full dataset recorded by the CMS experiment during 2016 of the LHC Run 2 is used, corresponding to an integrated luminosity of 35.9 fb1 at 13 TeV. Novel techniques are used for the study of associated VBF and VH production and its combination with analysis of decay information using optimal approaches based on matrix element techniques. The tensor structure of the interactions of the spin-zero Higgs boson with two vector bosons either in production or in decay is investigated and constraints are set on anomalous HVV interactions. All observations are consistent with the expectations for the standard model Higgs boson.
Additional Figures

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Additional Figure 1:
Distributions of kinematic discriminants in the fa2 analysis: Dbkg (a), (c), (e), and Dint (b), (d), (f). The decay or production information used in the Dint discriminants is reflected in the superscript label and depends on the tagging category. Three tagging categories are shown: VBF-jets (a)-(b), VH-jets (c)-(d), and untagged (e)-(f). Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 1-a:
Distribution of the Dbkg kinematic discriminant in the fa2 analysis. The VBF-jets tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 1-b:
Distribution of the Dint kinematic discriminant in the fa2 analysis. The decay or production information is reflected in the superscript label and depends on the tagging category. The VBF-jets tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 1-c:
Distribution of the Dbkg kinematic discriminant in the fa2 analysis. The VH-jets tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 1-d:
Distribution of the Dint kinematic discriminant in the fa2 analysis. The decay or production information is reflected in the superscript label and depends on the tagging category. The VH-jets tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 1-e:
Distribution of the Dbkg kinematic discriminant in the fa2 analysis. The untagged tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 1-f:
Distribution of the Dint kinematic discriminant in the fa2 analysis. The decay or production information is reflected in the superscript label and depends on the tagging category. The untagged tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 2:
Distributions of kinematic discriminants in the fΛ1 analysis: Dbkg (a), (c), (e), and D0h+ (b), (d), (f). The decay or production information used in the D0h+ discriminants is reflected in the superscript label and depends on the tagging category. Three tagging categories are shown: VBF-jets (a)-(b), VH-jets (c)-(d), and untagged (e)-(f). Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 2-a:
Distribution of the Dbkg kinematic discriminant in the fΛ1 analysis. The VBF-jets tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 2-b:
Distribution of the D0h+ kinematic discriminant in the fΛ1 analysis. The decay or production information is reflected in the superscript label and depends on the tagging category. The VBF-jets tagging category is shown.Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 2-c:
Distribution of the Dbkg kinematic discriminant in the fΛ1 analysis. The VH-jets tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 2-d:
Distribution of the D0h+ kinematic discriminant in the fΛ1 analysis. The decay or production information is reflected in the superscript label and depends on the tagging category. The VH-jets tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 2-e:
Distribution of the Dbkg kinematic discriminant in the fΛ1 analysis. The untagged tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 2-f:
Distribution of the D0h+ kinematic discriminant in the fΛ1 analysis. The decay or production information is reflected in the superscript label and depends on the tagging category. The untagged tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 3:
Distributions of kinematic discriminants in the fZγΛ1 analysis: Dbkg (a), (c), (e), and D0h+ (b), (d), (f). The decay or production information used in the D0h+ discriminants is reflected in the superscript label and depends on the tagging category. Three tagging categories are shown: VBF-jets (a)-(b), VH-jets (c)-(d), and untagged (e)-(f). Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 3-a:
Distribution of the Dbkg kinematic discriminant in the fZγΛ1 analysis.The VBF-jets tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 3-b:
Distribution of the D0h+ kinematic discriminant in the fZγΛ1 analysis. The decay or production information is reflected in the superscript label and depends on the tagging category. The VBF-jets tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 3-c:
Distribution of the Dbkg kinematic discriminant in the fZγΛ1 analysis. The VH-jets tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 3-d:
Distribution of the D0h+ kinematic discriminant in the fZγΛ1 analysis. The decay or production information is reflected in the superscript label and depends on the tagging category. The VH-jets tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 3-e:
Distribution of the Dbkg kinematic discriminant in the fZγΛ1 analysis. The decay or production information is reflected in the superscript label and depends on the tagging category. The untagged tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.

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Additional Figure 3-f:
Distribution of the D0h+ kinematic discriminant in the fZγΛ1 analysis. The decay or production information is reflected in the superscript label and depends on the tagging category. The untagged tagging category is shown. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend.
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