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CMS-PAS-HIG-20-003
Search for invisible decays of a Higgs boson produced via vector boson fusion with 138 fb$^{-1}$ of proton-proton collisions at $\sqrt{s}= $ 13 TeV
Abstract: A search for invisible decays of the Higgs boson produced via vector boson fusion (VBF) has been performed with the $\sqrt{s}= $ 13 TeV data sets collected by the CMS experiment at the LHC. The sensitivity to the VBF production mechanism is enhanced by using two strategies to construct two analysis categories, one based on missing transverse momentum, and a second based on the properties of jets. In addition to control regions with Z and W candidate events, a high-precision control region, based on the associated production of a photon with jets, is used to constrain the dominant irreducible background from the invisible decay of the Z boson produced in association with jets. These results are combined with previous measurements in the VBF topology, for a total integrated luminosity of 138 fb$^{-1}$. The observed (expected) upper limit on the invisible branching fraction of the Higgs boson is found to be 0.17 (0.11) at 95% CL, assuming the standard model production cross section.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Leading-order Feynman diagrams for the production of a Higgs boson in association with two jets from VBF H (left), and representative leading-order Feynman diagrams for the production of a Z boson in association with two jets either through VBF production (middle) or strong production (right). Diagrams for the production of a W boson in association with two jets are similar.

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Figure 1-a:
Leading-order Feynman diagrams for the production of a Higgs boson in association with two jets from VBF H (left), and representative leading-order Feynman diagrams for the production of a Z boson in association with two jets either through VBF production (middle) or strong production (right). Diagrams for the production of a W boson in association with two jets are similar.

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Figure 1-b:
Leading-order Feynman diagrams for the production of a Higgs boson in association with two jets from VBF H (left), and representative leading-order Feynman diagrams for the production of a Z boson in association with two jets either through VBF production (middle) or strong production (right). Diagrams for the production of a W boson in association with two jets are similar.

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Figure 1-c:
Leading-order Feynman diagrams for the production of a Higgs boson in association with two jets from VBF H (left), and representative leading-order Feynman diagrams for the production of a Z boson in association with two jets either through VBF production (middle) or strong production (right). Diagrams for the production of a W boson in association with two jets are similar.

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Figure 2:
Comparison of shapes for the dijet pair ${M_{\mathrm {jj}}}$ (top), ${\Delta \eta _{\mathrm {jj}}}$ (lower left) and ${\Delta \phi _{\mathrm {jj}}}$ (lower right), as predicted by the simulation, separating strong and VBF production for V+jets and signal processes.

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Figure 2-a:
Comparison of shapes for the dijet pair ${M_{\mathrm {jj}}}$ (top), ${\Delta \eta _{\mathrm {jj}}}$ (lower left) and ${\Delta \phi _{\mathrm {jj}}}$ (lower right), as predicted by the simulation, separating strong and VBF production for V+jets and signal processes.

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Figure 2-b:
Comparison of shapes for the dijet pair ${M_{\mathrm {jj}}}$ (top), ${\Delta \eta _{\mathrm {jj}}}$ (lower left) and ${\Delta \phi _{\mathrm {jj}}}$ (lower right), as predicted by the simulation, separating strong and VBF production for V+jets and signal processes.

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Figure 2-c:
Comparison of shapes for the dijet pair ${M_{\mathrm {jj}}}$ (top), ${\Delta \eta _{\mathrm {jj}}}$ (lower left) and ${\Delta \phi _{\mathrm {jj}}}$ (lower right), as predicted by the simulation, separating strong and VBF production for V+jets and signal processes.

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Figure 3:
$\Delta \phi ({p_{\mathrm {T, Trk}}^\mathrm {miss}}, {{p_{\mathrm {T}}} ^\text {miss}})$ distribution in the SR with the additional requirement that the leading-$ {p_{\mathrm {T}}}$ jet passes 3 $ < |\eta | < $ 3.25. The data is compared with the sum of HF-noise template and backgrounds from simulation. The uncertainty band includes only MC statistical uncertainties.

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Figure 4:
$\text {min} {\Delta \phi ({\vec{p}_{\mathrm {T}}^{\,\text {miss}}},\vec{p}_{\mathrm {T}}^{\,\mathrm {jet}})} $ distribution in data and contributions from V+jets, diboson and top backgrounds, HF-noise and QCD multijet events for the MTR (left) and VTR (right) categories. The uncertainty band shows the uncertainty from the fit used to determine the normalisation of the QCD multijet template in the corresponding signal regions.

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Figure 4-a:
$\text {min} {\Delta \phi ({\vec{p}_{\mathrm {T}}^{\,\text {miss}}},\vec{p}_{\mathrm {T}}^{\,\mathrm {jet}})} $ distribution in data and contributions from V+jets, diboson and top backgrounds, HF-noise and QCD multijet events for the MTR (left) and VTR (right) categories. The uncertainty band shows the uncertainty from the fit used to determine the normalisation of the QCD multijet template in the corresponding signal regions.

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Figure 4-b:
$\text {min} {\Delta \phi ({\vec{p}_{\mathrm {T}}^{\,\text {miss}}},\vec{p}_{\mathrm {T}}^{\,\mathrm {jet}})} $ distribution in data and contributions from V+jets, diboson and top backgrounds, HF-noise and QCD multijet events for the MTR (left) and VTR (right) categories. The uncertainty band shows the uncertainty from the fit used to determine the normalisation of the QCD multijet template in the corresponding signal regions.

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Figure 5:
Comparison between data and simulation for the ${\mathrm{Z} (\ell \ell)\text {+jets}} / {\mathrm{W} (\ell \nu)\text {+jets}}$ prefit and category-by-category and year-separated CR-postfit ratios as functions of ${M_{\mathrm {jj}}}$, for the MTR category 2017 (left) and 2018 (right) samples. The minor backgrounds in each CR are subtracted from the data using MC estimates. The grey bands include the theoretical and experimental systematic uncertainties listed in Table 3, as well as the statistical uncertainty in the simulation.

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Figure 5-a:
Comparison between data and simulation for the ${\mathrm{Z} (\ell \ell)\text {+jets}} / {\mathrm{W} (\ell \nu)\text {+jets}}$ prefit and category-by-category and year-separated CR-postfit ratios as functions of ${M_{\mathrm {jj}}}$, for the MTR category 2017 (left) and 2018 (right) samples. The minor backgrounds in each CR are subtracted from the data using MC estimates. The grey bands include the theoretical and experimental systematic uncertainties listed in Table 3, as well as the statistical uncertainty in the simulation.

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Figure 5-b:
Comparison between data and simulation for the ${\mathrm{Z} (\ell \ell)\text {+jets}} / {\mathrm{W} (\ell \nu)\text {+jets}}$ prefit and category-by-category and year-separated CR-postfit ratios as functions of ${M_{\mathrm {jj}}}$, for the MTR category 2017 (left) and 2018 (right) samples. The minor backgrounds in each CR are subtracted from the data using MC estimates. The grey bands include the theoretical and experimental systematic uncertainties listed in Table 3, as well as the statistical uncertainty in the simulation.

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Figure 6:
Comparison between data and simulation for the ${\gamma \text {+jets}} / {\mathrm{Z} (\ell \ell)\text {+jets}}$ prefit and category-by-category and year-separated CR-postfit ratios as functions of ${M_{\mathrm {jj}}}$, for the MTR category 2017 (left) and 2018 (right) samples. The minor backgrounds in each CR are subtracted from the data using MC estimates. The grey bands include the theoretical and experimental systematic uncertainties listed in Table 3, as well as the statistical uncertainty in the simulation.

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Figure 6-a:
Comparison between data and simulation for the ${\gamma \text {+jets}} / {\mathrm{Z} (\ell \ell)\text {+jets}}$ prefit and category-by-category and year-separated CR-postfit ratios as functions of ${M_{\mathrm {jj}}}$, for the MTR category 2017 (left) and 2018 (right) samples. The minor backgrounds in each CR are subtracted from the data using MC estimates. The grey bands include the theoretical and experimental systematic uncertainties listed in Table 3, as well as the statistical uncertainty in the simulation.

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Figure 6-b:
Comparison between data and simulation for the ${\gamma \text {+jets}} / {\mathrm{Z} (\ell \ell)\text {+jets}}$ prefit and category-by-category and year-separated CR-postfit ratios as functions of ${M_{\mathrm {jj}}}$, for the MTR category 2017 (left) and 2018 (right) samples. The minor backgrounds in each CR are subtracted from the data using MC estimates. The grey bands include the theoretical and experimental systematic uncertainties listed in Table 3, as well as the statistical uncertainty in the simulation.

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Figure 7:
The ${M_{\mathrm {jj}}}$ distributions (CR-postfit and postfit) in the dimuon (upper left), dielectron (upper right), single-muon (lower left), single-electron (lower right) CR for the MTR category, with the 2017 and 2018 samples. The last bin of each distribution integrates events above the bin threshold divided by the bin width.

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Figure 7-a:
The ${M_{\mathrm {jj}}}$ distributions (CR-postfit and postfit) in the dimuon (upper left), dielectron (upper right), single-muon (lower left), single-electron (lower right) CR for the MTR category, with the 2017 and 2018 samples. The last bin of each distribution integrates events above the bin threshold divided by the bin width.

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Figure 7-b:
The ${M_{\mathrm {jj}}}$ distributions (CR-postfit and postfit) in the dimuon (upper left), dielectron (upper right), single-muon (lower left), single-electron (lower right) CR for the MTR category, with the 2017 and 2018 samples. The last bin of each distribution integrates events above the bin threshold divided by the bin width.

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Figure 7-c:
The ${M_{\mathrm {jj}}}$ distributions (CR-postfit and postfit) in the dimuon (upper left), dielectron (upper right), single-muon (lower left), single-electron (lower right) CR for the MTR category, with the 2017 and 2018 samples. The last bin of each distribution integrates events above the bin threshold divided by the bin width.

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Figure 7-d:
The ${M_{\mathrm {jj}}}$ distributions (CR-postfit and postfit) in the dimuon (upper left), dielectron (upper right), single-muon (lower left), single-electron (lower right) CR for the MTR category, with the 2017 and 2018 samples. The last bin of each distribution integrates events above the bin threshold divided by the bin width.

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Figure 8:
The ${M_{\mathrm {jj}}}$ distributions (CR-postfit and postfit) in the photon CR for the MTR category, with the 2017 and 2018 samples. The last bin of each distribution integrates events above the bin threshold divided by the bin width.

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Figure 9:
Comparison between data and simulation for the ${\mathrm{Z} (\ell \ell)\text {+jets}} / {\mathrm{W} (\ell \nu)\text {+jets}}$ prefit ratios as functions of ${M_{\mathrm {jj}}}$, for the VTR category and 2017 (left) and 2018 (right) samples. The minor backgrounds in each CR are subtracted from the data using MC estimates. The grey bands include the theoretical and experimental systematic uncertainties listed in Table 3, as well as the statistical uncertainty in the simulation.

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Figure 9-a:
Comparison between data and simulation for the ${\mathrm{Z} (\ell \ell)\text {+jets}} / {\mathrm{W} (\ell \nu)\text {+jets}}$ prefit ratios as functions of ${M_{\mathrm {jj}}}$, for the VTR category and 2017 (left) and 2018 (right) samples. The minor backgrounds in each CR are subtracted from the data using MC estimates. The grey bands include the theoretical and experimental systematic uncertainties listed in Table 3, as well as the statistical uncertainty in the simulation.

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Figure 9-b:
Comparison between data and simulation for the ${\mathrm{Z} (\ell \ell)\text {+jets}} / {\mathrm{W} (\ell \nu)\text {+jets}}$ prefit ratios as functions of ${M_{\mathrm {jj}}}$, for the VTR category and 2017 (left) and 2018 (right) samples. The minor backgrounds in each CR are subtracted from the data using MC estimates. The grey bands include the theoretical and experimental systematic uncertainties listed in Table 3, as well as the statistical uncertainty in the simulation.

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Figure 10:
The ${M_{\mathrm {jj}}}$ distributions (CR-postfit and postfit) in the dimuon (upper left), dielectron (upper right), single-muon (lower left), and single-electron (lower right) CRs for the VTR category, with the 2017 and 2018 samples. The last bin of each distribution integrates events above the bin threshold divided by the bin width.

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Figure 10-a:
The ${M_{\mathrm {jj}}}$ distributions (CR-postfit and postfit) in the dimuon (upper left), dielectron (upper right), single-muon (lower left), and single-electron (lower right) CRs for the VTR category, with the 2017 and 2018 samples. The last bin of each distribution integrates events above the bin threshold divided by the bin width.

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Figure 10-b:
The ${M_{\mathrm {jj}}}$ distributions (CR-postfit and postfit) in the dimuon (upper left), dielectron (upper right), single-muon (lower left), and single-electron (lower right) CRs for the VTR category, with the 2017 and 2018 samples. The last bin of each distribution integrates events above the bin threshold divided by the bin width.

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Figure 10-c:
The ${M_{\mathrm {jj}}}$ distributions (CR-postfit and postfit) in the dimuon (upper left), dielectron (upper right), single-muon (lower left), and single-electron (lower right) CRs for the VTR category, with the 2017 and 2018 samples. The last bin of each distribution integrates events above the bin threshold divided by the bin width.

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Figure 10-d:
The ${M_{\mathrm {jj}}}$ distributions (CR-postfit and postfit) in the dimuon (upper left), dielectron (upper right), single-muon (lower left), and single-electron (lower right) CRs for the VTR category, with the 2017 and 2018 samples. The last bin of each distribution integrates events above the bin threshold divided by the bin width.

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Figure 11:
The observed ${M_{\mathrm {jj}}}$ distribution in the MTR (top) and VTR (bottom) SRs compared to the postfit backgrounds, with the 2017 and 2018 samples. The signal processes are scaled by the fitted value of $ {{\mathcal {B}(\mathrm{H} \to \text {inv})}} $, shown in the legend. The last bin of each distribution integrates events above the bin threshold divided by the bin width.

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Figure 11-a:
The observed ${M_{\mathrm {jj}}}$ distribution in the MTR (top) and VTR (bottom) SRs compared to the postfit backgrounds, with the 2017 and 2018 samples. The signal processes are scaled by the fitted value of $ {{\mathcal {B}(\mathrm{H} \to \text {inv})}} $, shown in the legend. The last bin of each distribution integrates events above the bin threshold divided by the bin width.

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Figure 11-b:
The observed ${M_{\mathrm {jj}}}$ distribution in the MTR (top) and VTR (bottom) SRs compared to the postfit backgrounds, with the 2017 and 2018 samples. The signal processes are scaled by the fitted value of $ {{\mathcal {B}(\mathrm{H} \to \text {inv})}} $, shown in the legend. The last bin of each distribution integrates events above the bin threshold divided by the bin width.

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Figure 12:
Observed and expected 95% CL upper limits on ${{(\sigma _{\mathrm{H}}/\sigma _{\mathrm{H}}^{\mathrm {SM}}) \times {{\mathcal {B}(\mathrm{H} \to \text {inv})}}}}$ for all three years of data taking, as well as their combination, assuming a SM Higgs boson with a mass of 125.38 GeV.

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Figure 13:
Profile likelihood ratios as a function of ${{\mathcal {B}(\mathrm{H} \to \text {inv})}}$. The observed likelihood scans are reported for the full combination of 2016, 2017 and 2018 data, as well as for the individual years. The expected results for the combination are obtained using an Asimov data set with $ {{\mathcal {B}(\mathrm{H} \to \text {inv})}} =$ 0.

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Figure 14:
90% CL upper limits on the spin-independent DM-nucleon scattering cross section in Higgs-portal models, assuming a scalar (solid orange) or fermion (dashed red) DM candidate. Limits are computed as a function of $m_{DM}$ and are compared to those from the Xenon1T [68], Cresst-II [69], CDMSlite [70], LUX [71], Panda-X II [72] and DarkSide-50 [73] experiments.
Tables

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Table 1:
Selection applied in the 2017 and 2018 data sets to remove HF jets stemming from calorimeter noise.

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Table 2:
Summary of the kinematic selections used to define the SR for both the MTR and the VTR categories.

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Table 3:
Experimental and theoretical sources of systematic uncertainties on the V+jets transfer factors. The second column highlights on which ratio specifically a given source of uncertainty acts, and its impact on ${M_{\mathrm {jj}}}$ is given in the 3rd column, either as a single value (if no dependence on ${M_{\mathrm {jj}}}$ is observed) or as a range of impact on low to high ${M_{\mathrm {jj}}}$ values.

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Table 6:
The 95% CL upper limits, both observed and expected, and their expected confidence intervals per category and for the combinations.

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Table 7:
Uncertainty breakdown on ${{\mathcal {B}(\mathrm{H} \to \text {inv})}}$. The sources of uncertainty are separated into different groups. Observed and expected results are quoted for the full combination of 2016, 2017 and 2018 data. The expected results are obtained using an Asimov data set with $ {{\mathcal {B}(\mathrm{H} \to \text {inv})}} =$ 0.
Summary
A search for a Higgs boson decaying invisibly, produced in the vector-boson fusion mode, is performed with 138 fb$^{-1}$ of proton-proton collisions delivered by the LHC at $\sqrt{s}=$ 13 TeV and collected by the CMS detector in 2017 and 2018. Building upon the previously published results, an additional category targeting events at lower Higgs boson transverse momentum has been added. An additional high-precision control region, based on the associated production of a photon with jets, is used to constrain the dominant irreducible background from invisible decay of the Z boson produced in association with jets. Compared to the strategy of the previously published analysis, these additions together improve the expected limits by approximately 17%. The observed (expected) upper limit on the invisible branching fraction of the Higgs boson is found to be 0.18 (0.12), assuming the standard model production cross section. The results are combined with previous measurements in the VBF topology, for a total integrated luminosity of 138 fb$^{-1}$ at $\sqrt{s}=$ 13 TeV, yielding an observed (expected) upper limit of 0.17 (0.11). Finally, the results are interpreted in the context of Higgs-portal models. The 90% CL upper limits on the spin-independent dark-matter-nucleon scattering cross section extracted from the observed LHC Run 2 results complement the direct-detection experiments in the range $m_{DM}$ smaller than 12 (6) GeV, assuming a fermion (scalar) dark matter candidate.
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Compact Muon Solenoid
LHC, CERN