CMS-HIG-14-035 ; CERN-PH-EP-2015-331 | ||
Combined search for anomalous pseudoscalar HVV couplings in VH production and H $\rightarrow$ VV decay | ||
CMS Collaboration | ||
13 February 2016 | ||
Phys. Lett. B 759 (2016) 672 | ||
Abstract: A search for anomalous pseudoscalar couplings of the Higgs boson H to electroweak vector bosons V (= W or Z) in a sample of proton-proton collision events corresponding to an integrated luminosity of 18.9 fb$^{-1}$ at a center-of-mass energy of 8 TeV is presented. Events consistent with the topology of associated VH production, where the Higgs boson decays to a pair of bottom quarks and the vector boson decays leptonically, are analyzed. The consistency of data with a potential pseudoscalar contribution to the HVV interaction, expressed by the effective pseudoscalar cross section fractions $f_{a_3}$, is assessed by means of profile likelihood scans. Results are given for the VH channels alone and for a combined analysis of the VH and previously published $ \mathrm{ H \rightarrow VV }$ channels. Assuming the standard model ratio of the coupling strengths of the Higgs boson to top and bottom quarks, $ f_{a_3}^{\mathrm{ZZ}}>0.0034$ is excluded at 95\% confidence level in the combination. | ||
Links: e-print arXiv:1602.04305 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; CADI line (restricted) ; |
Figures & Tables | Summary | Additional Figures | References | CMS Publications |
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Figures | |
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Figure 1-a:
Feynman diagrams representing gluon-initiated ZH production via a quark triangle (la) and box (b) loop. |
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Figure 1-b:
Feynman diagrams representing gluon-initiated ZH production via a quark triangle (la) and box (b) loop. |
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Figure 2-a:
The scalar (a), pseudoscalar (b), and total background (c) templates for the high-boost $ \mathrm{ W \to e \nu } $ channel. Bin content is normalized according to the bin area. |
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Figure 2-b:
The scalar (a), pseudoscalar (b), and total background (c) templates for the high-boost $ \mathrm{ W \to e \nu } $ channel. Bin content is normalized according to the bin area. |
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Figure 2-c:
The scalar (a), pseudoscalar (b), and total background (c) templates for the high-boost $ \mathrm{ W \to e \nu } $ channel. Bin content is normalized according to the bin area. |
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Figure 3-a:
The $ m(\mathrm{V} \mathrm{H} ) $ distributions for the high-boost region of the $ \mathrm{ W \to \mu \nu } $ (a) and $ \mathrm{ Z \to e e } $ (b) channels. The distribution observed in data is represented by points with error bars. SM backgrounds are represented by filled histograms. A pure scalar (pseudoscalar) Higgs boson signal is represented by the solid (dotted) histogram. The statistical uncertainty related to the finite size of the simulated background event samples is represented by the hatched region. Values of $ m(\mathrm{V} \mathrm{H} ) >$ 1200 GeV are included in the last bin. The bin content is normalized according to the bin width. The lower panel shows the ratio of the observed and expected background yields. |
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Figure 3-b:
The $ m(\mathrm{V} \mathrm{H} ) $ distributions for the high-boost region of the $ \mathrm{ W \to \mu \nu } $ (a) and $ \mathrm{ Z \to e e } $ (b) channels. The distribution observed in data is represented by points with error bars. SM backgrounds are represented by filled histograms. A pure scalar (pseudoscalar) Higgs boson signal is represented by the solid (dotted) histogram. The statistical uncertainty related to the finite size of the simulated background event samples is represented by the hatched region. Values of $ m(\mathrm{V} \mathrm{H} ) >$ 1200 GeV are included in the last bin. The bin content is normalized according to the bin width. The lower panel shows the ratio of the observed and expected background yields. |
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Figure 4:
Results of profile likelihood scans for the WH and ZH channels, as well as the combination (VH). The dotted (solid) lines show the expected (observed) -2$\Delta \mathrm {ln}\mathcal {L}$ value as a function of $ { {f_{a_3}} ^{\mathrm{ZH} }} $. A horizontal dashed line is shown, representing the 68% CL. |
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Figure 5-a:
Results of profile likelihood scans for the VH and VV channels, plus their combination. The dotted (solid) lines show the expected (observed) -2$\Delta \mathrm {ln}\mathcal {L}$ value as a function of $ {f_{a_3}} $. The full range of $ {f_{a_3}} $ is shown on (a,c), with the low $ {f_{a_3}} $ region highlighted on (b,d). Horizontal dashed lines represent the 68%, 95%, and 99% CL. |
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Figure 5-b:
Results of profile likelihood scans for the VH and VV channels, plus their combination. The dotted (solid) lines show the expected (observed) -2$\Delta \mathrm {ln}\mathcal {L}$ value as a function of $ {f_{a_3}} $. The full range of $ {f_{a_3}} $ is shown on (a,c), with the low $ {f_{a_3}} $ region highlighted on (b,d). Horizontal dashed lines represent the 68%, 95%, and 99% CL. |
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Figure 5-c:
Results of profile likelihood scans for the VH and VV channels, plus their combination. The dotted (solid) lines show the expected (observed) -2$\Delta \mathrm {ln}\mathcal {L}$ value as a function of $ {f_{a_3}} $. The full range of $ {f_{a_3}} $ is shown on (a,c), with the low $ {f_{a_3}} $ region highlighted on (b,d). Horizontal dashed lines represent the 68%, 95%, and 99% CL. |
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Figure 5-d:
Results of profile likelihood scans for the VH and VV channels, plus their combination. The dotted (solid) lines show the expected (observed) -2$\Delta \mathrm {ln}\mathcal {L}$ value as a function of $ {f_{a_3}} $. The full range of $ {f_{a_3}} $ is shown on (a,c), with the low $ {f_{a_3}} $ region highlighted on (b,d). Horizontal dashed lines represent the 68%, 95%, and 99% CL. |
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Figure 6-a:
Results of profile likelihood scans for the VH and VV channels, as well as their combination. The dotted (solid) lines show the expected (observed) -2$\Delta \mathrm {ln}\mathcal {L}$ value as a function of $ {f_{a_3}} $. The full range of $ {f_{a_3}} $ is shown on (a,c), with the low $ {f_{a_3}} $ region highlighted on (b,d). The bottom plots contain the results of correlated-$\mu $ scans. Horizontal dashed lines represent the 68%, 95%, and 99% CL. In the legend, VH refers to the combination of the WH and ZH channels, and VV refers to the combination of the $ { {\mathrm{H \rightarrow W W }}} $ and $ { {\mathrm{H \rightarrow Z Z } }} $ channels. |
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Figure 6-b:
Results of profile likelihood scans for the VH and VV channels, as well as their combination. The dotted (solid) lines show the expected (observed) -2$\Delta \mathrm {ln}\mathcal {L}$ value as a function of $ {f_{a_3}} $. The full range of $ {f_{a_3}} $ is shown on (a,c), with the low $ {f_{a_3}} $ region highlighted on (b,d). The bottom plots contain the results of correlated-$\mu $ scans. Horizontal dashed lines represent the 68%, 95%, and 99% CL. In the legend, VH refers to the combination of the WH and ZH channels, and VV refers to the combination of the $ { {\mathrm{H \rightarrow W W }}} $ and $ { {\mathrm{H \rightarrow Z Z } }} $ channels. |
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Figure 6-c:
Results of profile likelihood scans for the VH and VV channels, as well as their combination. The dotted (solid) lines show the expected (observed) -2$\Delta \mathrm {ln}\mathcal {L}$ value as a function of $ {f_{a_3}} $. The full range of $ {f_{a_3}} $ is shown on (a,c), with the low $ {f_{a_3}} $ region highlighted on (b,d). The bottom plots contain the results of correlated-$\mu $ scans. Horizontal dashed lines represent the 68%, 95%, and 99% CL. In the legend, VH refers to the combination of the WH and ZH channels, and VV refers to the combination of the $ { {\mathrm{H \rightarrow W W }}} $ and $ { {\mathrm{H \rightarrow Z Z } }} $ channels. |
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Figure 6-d:
Results of profile likelihood scans for the VH and VV channels, as well as their combination. The dotted (solid) lines show the expected (observed) -2$\Delta \mathrm {ln}\mathcal {L}$ value as a function of $ {f_{a_3}} $. The full range of $ {f_{a_3}} $ is shown on (a,c), with the low $ {f_{a_3}} $ region highlighted on (b,d). The bottom plots contain the results of correlated-$\mu $ scans. Horizontal dashed lines represent the 68%, 95%, and 99% CL. In the legend, VH refers to the combination of the WH and ZH channels, and VV refers to the combination of the $ { {\mathrm{H \rightarrow W W }}} $ and $ { {\mathrm{H \rightarrow Z Z } }} $ channels. |
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Figure 7-a:
Expected (a) and observed (b) two-dimensional profile likelihood scans based on a combination of the WH and ZH channels in the ${ {f_{a_3}} ^{ \mathrm{ZH} }} $ versus $\mu ^{\mathrm{ZH} }$ plane. The colour coding represents $-2\Delta \mathrm {ln}\mathcal {L}$ calculated with respect to the global minimum. The scan minimum is indicated by a white dot. The 68% and 95% CL contours at $-2\Delta \mathrm {ln}\mathcal {L}=$ 2.30 and 5.99, respectively, are shown. The observed result includes upper and lower bounds while the expected result contains only upper bounds, as the expected result is consistent with $ { {f_{a_3}} ^{\mathrm{ZH} }} =$ 0 at 68% CL. |
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Figure 7-b:
Expected (a) and observed (b) two-dimensional profile likelihood scans based on a combination of the WH and ZH channels in the ${ {f_{a_3}} ^{ \mathrm{ZH} }} $ versus $\mu ^{\mathrm{ZH} }$ plane. The colour coding represents $-2\Delta \mathrm {ln}\mathcal {L}$ calculated with respect to the global minimum. The scan minimum is indicated by a white dot. The 68% and 95% CL contours at $-2\Delta \mathrm {ln}\mathcal {L}=$ 2.30 and 5.99, respectively, are shown. The observed result includes upper and lower bounds while the expected result contains only upper bounds, as the expected result is consistent with $ { {f_{a_3}} ^{\mathrm{ZH} }} =$ 0 at 68% CL. |
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Figure 8-a:
Results of expected (a) and observed (b) $ { {f_{a_3}} ^{\mathrm{ZH} }} $ scans based on a combination of the WH and ZH channels, with various scales of new physics $\Lambda $. The coloured lines show the -2$\Delta \mathrm {ln}\mathcal {L}$ value as a function of ${ {f_{a_3}} ^{\mathrm{ZH} }} $. The horizontal dashed line represents the 68% CL. |
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Figure 8-b:
Results of expected (a) and observed (b) $ { {f_{a_3}} ^{\mathrm{ZH} }} $ scans based on a combination of the WH and ZH channels, with various scales of new physics $\Lambda $. The coloured lines show the -2$\Delta \mathrm {ln}\mathcal {L}$ value as a function of ${ {f_{a_3}} ^{\mathrm{ZH} }} $. The horizontal dashed line represents the 68% CL. |
Tables | |
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Table 1:
$\sigma _1/\sigma _3$ cross section ratios calculated with JHUGen . |
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Table 2:
Values of $\Omega ^{i,j}$ which relate the channels studied in this paper, as defined in Eq.7. |
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Table 3:
Summary of the event selection criteria. Numbers in parentheses refer to the high-boost region defined in the text. |
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Table 4:
Summary of the sources of systematic uncertainty on the background and signal yields. The size of the uncertainties that only affect normalizations are given. Uncertainties that also affect the shapes are implemented with template morphing, a smooth vertical interpolation between the nominal shape and systematic shape variations. |
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Table 5:
A summary of the locations of the minimum -2$\Delta \mathrm {ln}\mathcal {L}$ values in one-dimensional $ {f_{a_3}} $ profile likelihood scans. Parentheses contain 68% CL intervals, and brackets contain 95% CL intervals. The ranges are truncated at the physical boundaries 0 $< {f_{a_3}} <$ 1. The results of combinations which involve both VH and $ { \mathrm{H \rightarrow VV } } $ channels are given with and without assuming the SM ratio of the coupling strengths of the Higgs boson to top and bottom quarks. |
Summary |
A search has been performed for anomalous pseudoscalar HVV interactions in $ \sqrt{s} = $ 8 TeV pp data collected with the CMS detector. This is the first study of such interactions at the LHC in associated VH production. The VH channels alone do not currently have sufficient sensitivity to constrain the effective pseudoscalar cross section fractions $ f_{a_3} $ at 95% CL. In a combination of the VH and H $\rightarrow$ VV channels, when assuming the absence of additional anomalous Higgs boson couplings and treating the scalar $a_1^{\mathrm{HVV}}$ and pseudoscalar $a_3^{\mathrm{HVV}}$ couplings as constants, $ f_{a_3} ^{\mathrm{ZZ}}>$ 0.0034 is excluded at 95% CL. This exclusion represents a significant improvement with respect to previous results. |
Additional Figures | |
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Additional Figure 1:
Results of profile likelihood scans for the ZH and ZZ channels, plus their combination. The dotted (solid) lines show the expected (observed) $-2 \Delta \mathrm {ln}\mathcal {L}$ value as a function of $ { {f_{a_3}} ^{\mathrm{Z} \mathrm{H} }} $. Horizontal dashed lines represent the 68%, 95%, and 99% CL. These channels exclusively probe the HZZ coupling, and therefore the results do not include any assumption on the relationship between the HWW and HZZ couplings. |
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Additional Figure 2:
Results of profile likelihood scans for the ZH and ZZ channels, plus their combination, highlighting the low -2$\Delta \mathrm {ln}\mathcal {L}$ region. The dotted (solid) lines show the expected (observed) $-2 \Delta \mathrm {ln}\mathcal {L}$ value as a function of $ { {f_{a_3}} ^{\mathrm{Z} \mathrm{H} }} $. A horizontal dashed line is shown, representing the 68% CL. These channels exclusively probe the HZZ coupling, and therefore the results do not include any assumption on the relationship between the HWW and HZZ couplings. |
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Additional Figure 3:
Expected two-dimensional profile likelihood scan based on a combination of the WH and ZH channels in the $ { {f_{a_3}} ^{\mathrm{Z} \mathrm{H} }} $ versus $\mu ^{\mathrm {ZH}}$ plane. The colour coding represents $-2\Delta \mathrm {ln}\mathcal {L}$ calculated with respect to the global minimum. The scan minimum is indicated by a white dot. The 68% and 95% CL contours at $-2\Delta \mathrm {ln}\mathcal {L}=$ 2.30 and 5.99, respectively, are shown. |
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Additional Figure 4:
Observed two-dimensional profile likelihood scan based on a combination of the WH and ZH channels in the $ { {f_{a_3}} ^{\mathrm{Z} \mathrm{H} }} $ versus $\mu ^{\mathrm {ZH}}$ plane. The colour coding represents $-2\Delta \mathrm {ln}\mathcal {L}$ calculated with respect to the global minimum. The scan minimum is indicated by a white dot. The 68% and 95% CL contours at $-2\Delta \mathrm {ln}\mathcal {L}=$ 2.30 and 5.99, respectively, are shown. |
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Additional Figure 5:
Expected two-dimensional profile likelihood scan based on the WH channel in the $ { {f_{a_3}} ^{\mathrm{W} \mathrm{H} }} $ versus $\mu ^{\mathrm {WH}}$ plane. The colour coding represents $-2\Delta \mathrm {ln}\mathcal {L}$ calculated with respect to the global minimum. The scan minimum is indicated by a white dot. The 68% and 95% CL contours at $-2\Delta \mathrm {ln}\mathcal {L}=$ 2.30 and 5.99, respectively, are shown. |
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Additional Figure 6:
Observed two-dimensional profile likelihood scan based on the WH channel in the $ { {f_{a_3}} ^{\mathrm{W} \mathrm{H} }} $ versus $\mu ^{\mathrm {WH}}$ plane. The colour coding represents $-2\Delta \mathrm {ln}\mathcal {L}$ calculated with respect to the global minimum. The scan minimum is indicated by a white dot. The 68% and 95% CL contours at $-2\Delta \mathrm {ln}\mathcal {L}=$ 2.30 and 5.99, respectively, are shown. |
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Additional Figure 7:
Expected two-dimensional profile likelihood scan based on the WH channel in the $ { {f_{a_3}} ^{\mathrm{W} \mathrm{H} }} $ versus $\mu ^{\mathrm {WH}}$ plane. The colour coding represents $-2\Delta \mathrm {ln}\mathcal {L}$ calculated with respect to the global minimum. The scan minimum is indicated by a white dot. The 68% and 95% CL contours at $-2\Delta \mathrm {ln}\mathcal {L}=2.30$ and $5.99$, respectively, are shown. |
png pdf |
Additional Figure 8:
Observed two-dimensional profile likelihood scan based on the WH channel in the $ { {f_{a_3}} ^{\mathrm{W} \mathrm{H} }} $ versus $\mu ^{\mathrm {WH}}$ plane. The colour coding represents $-2\Delta \mathrm {ln}\mathcal {L}$ calculated with respect to the global minimum. The scan minimum is indicated by a white dot. The 68% and 95% CL contours at $-2\Delta \mathrm {ln}\mathcal {L}=$ 2.30 and 5.99, respectively, are shown. |
png pdf |
Additional Figure 9:
Expected two-dimensional profile likelihood scan based on the ZH channel in the $ { {f_{a_3}} ^{\mathrm{Z} \mathrm{H} }} $ versus $\mu ^{\mathrm {ZH}}$ plane. The colour coding represents $-2\Delta \mathrm {ln}\mathcal {L}$ calculated with respect to the global minimum. The scan minimum is indicated by a white dot. The 68% and 95% CL contours at $-2\Delta \mathrm {ln}\mathcal {L}=$ 2.30 and 5.99, respectively, are shown. |
png pdf |
Additional Figure 10:
Observed two-dimensional profile likelihood scan based on the ZH channel in the $ { {f_{a_3}} ^{\mathrm{Z} \mathrm{H} }} $ versus $\mu ^{\mathrm {ZH}}$ plane. The colour coding represents $-2\Delta \mathrm {ln}\mathcal {L}$ calculated with respect to the global minimum. The scan minimum is indicated by a white dot. The 68% and 95% CL contours at $-2\Delta \mathrm {ln}\mathcal {L}=$ 2.30 and 5.99, respectively, are shown. |
png pdf |
Additional Figure 11:
Expected two-dimensional profile likelihood scan based on the ZH channel in the $ { {f_{a_3}} ^{\mathrm{Z} \mathrm{H} }} $ versus $\mu ^{\mathrm {ZH}}$ plane. The colour coding represents $-2\Delta \mathrm {ln}\mathcal {L}$ calculated with respect to the global minimum. The scan minimum is indicated by a white dot. The 68% and 95% CL contours at $-2\Delta \mathrm {ln}\mathcal {L}=$ 2.30 and 5.99, respectively, are shown. |
png pdf |
Additional Figure 12:
Observed two-dimensional profile likelihood scan based on the ZH channel in the $ { {f_{a_3}} ^{\mathrm{Z} \mathrm{H} }} $ versus $\mu ^{\mathrm {ZH}}$ plane. The colour coding represents $-2\Delta \mathrm {ln}\mathcal {L}$ calculated with respect to the global minimum. The scan minimum is indicated by a white dot. The 68% and 95% CL contours at $-2\Delta \mathrm {ln}\mathcal {L}=$ 2.30 and 5.99, respectively, are shown. |
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Additional Figure 13:
Observed BDT discriminant vs $m$(VH) distribution in the high-boost region of the $ {\mathrm{W} \rightarrow \mathrm{e} \nu } $ channel. Bin content is normalized by the bin area. |
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Additional Figure 14:
Unrolled BDT discriminant vs $m$(VH) distribution in the high-boost region of the $ {\mathrm{Z} \rightarrow \mu \mu } $ channel. 13 $m$(VH) distributions are shown in various bins of the BDT discriminant, demarcated by vertical pink dashed lines, with the BDT discriminant increasing from left to right. The distribution observed in data is represented by points with error bars. SM backgrounds are represented by filled histograms. A pure scalar (pseudoscalar) Higgs boson signal is represented by the solid (dotted) histogram. The statistical uncertainty related to the finite size of the simulated background event samples is represented by the hatched region. The bin content is normalized by the bin area. The lower panel shows the ratio of the observed and expected background yields. |
png pdf |
Additional Figure 15:
The BDT discriminant distribution for the high-boost region of the $ {\mathrm{Z} \rightarrow \mu \mu } $ channel. The distribution observed in data is represented by points with error bars. SM backgrounds are represented by filled histograms. A pure scalar (pseudoscalar) Higgs boson signal is represented by the solid (dotted) histogram. The statistical uncertainty related to the finite size of the simulated background event samples is represented by the hatched region. The bin content is normalized by the bin width. The lower panel shows the ratio of the observed and expected background yields. |
png pdf |
Additional Figure 16:
The BDT discriminant distribution for the high-boost region of the $ {\mathrm{W} \rightarrow \mathrm{e} \nu } $ channel. The distribution observed in data is represented by points with error bars. SM backgrounds are represented by filled histograms. A pure scalar (pseudoscalar) Higgs boson signal is represented by the solid (dotted) histogram. The statistical uncertainty related to the finite size of the simulated background event samples is represented by the hatched region. The bin content is normalized by the bin width. The lower panel shows the ratio of the observed and expected background yields. |
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Additional Figure 17:
A summary of the locations of the minimum -2$\Delta \mathrm {ln}\mathcal {L}$ values in one-dimensional $ {f_{a_3}} \cos \left (\mathrm{H}i _{a_3}\right )$ profile likelihood scans allowing for $ \cos\left (\mathrm{H}i _{a_3}\right ) =$ -1, 1. Parentheses contain 68% CL intervals, and brackets contain 95% CL intervals. The ranges are truncated at the physical boundaries -1 $< {f_{a_3}} \cos \left (\mathrm{H}i _{a_3}\right )<$ 1. The results of combinations which involve both VH and $ { {\mathrm{H} \rightarrow \mathrm{VV} } } $ channels are given with and without assuming the SM ratio of the coupling strengths of the Higgs boson to top and bottom quarks. |
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Compact Muon Solenoid LHC, CERN |