CMS-HIG-17-031 ; CERN-EP-2018-263 | ||
Combined measurements of Higgs boson couplings in proton-proton collisions at $\sqrt{s} = $ 13 TeV | ||
CMS Collaboration | ||
27 September 2018 | ||
Eur. Phys. J. C 79 (2019) 421 | ||
Abstract: Combined measurements of the production and decay rates of the Higgs boson, as well as its couplings to vector bosons and fermions, are presented. The analysis uses the LHC proton-proton collision data set recorded with the CMS detector in 2016 at $\sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 35.9 fb$^{-1}$ . The combination is based on analyses targeting the five main Higgs boson production mechanisms (gluon fusion, vector boson fusion, and associated production with a W or Z boson, or a top quark-antiquark pair) and the following decay modes: $\mathrm{H}\to\gamma\gamma$, $\mathrm{Z}\mathrm{Z}$, $\mathrm{W}\mathrm{W}$, $\tau\tau$, $\mathrm{b}\mathrm{b}$, and $\mu \mu $. Searches for invisible Higgs boson decays are also considered. The best-fit ratio of the signal yield to the standard model expectation is measured to be $\mu= $ 1.17 $\pm$ 0.10, assuming a Higgs boson mass of 125.09 GeV. Additional results are given for parametrizations with varying assumptions on the scaling behavior of the different production and decay modes, including generic ones based on ratios of cross sections and branching fractions or coupling modifiers. The results are compatible with the standard model predictions in all parametrizations considered. In addition, constraints are placed on various two Higgs doublet models. | ||
Links: e-print arXiv:1809.10733 [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:
Examples of leading-order Feynman diagrams for Higgs boson decays in the $\mathrm{H \to b\bar{b} }$, $\mathrm{H \to \tau\tau }$, and $\mathrm{H \to \mu\mu }$ (upper left); $\mathrm{H \to ZZ }$ and $\mathrm{H \to WW }$ (upper right); and $\mathrm{H \to \gamma\gamma }$ (lower) channels. |
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Figure 1-a:
Example of leading-order Feynman diagram for Higgs boson decays in the $\mathrm{H \to b\bar{b} }$, $\mathrm{H \to \tau\tau }$, and $\mathrm{H \to \mu\mu }$ channels. |
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Figure 1-b:
Example of leading-order Feynman diagram for Higgs boson decays in the $\mathrm{H \to ZZ }$ and $\mathrm{H \to WW }$ channels. |
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Figure 1-c:
Example of leading-order Feynman diagram for Higgs boson decays in the $\mathrm{H \to \gamma\gamma }$ channel. |
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Figure 1-d:
Example of leading-order Feynman diagram for Higgs boson decays in the $\mathrm{H \to \gamma\gamma }$ channel. |
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Figure 2:
Examples of leading-order Feynman diagrams for the ggH (upper left), VBF (upper right), VH (lower left), and ttH (lower right) production modes. |
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Figure 2-a:
Example of leading-order Feynman diagram for the ggH production mode. |
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Figure 2-b:
Example of leading-order Feynman diagram for the VBF production mode. |
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Figure 2-c:
Example of leading-order Feynman diagram for the VH production mode. |
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Figure 2-d:
Example of leading-order Feynman diagram for the ttH production mode. |
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Figure 3:
Examples of leading-order Feynman diagrams for the $ {\mathrm {g}} {\mathrm {g}} \to {{\mathrm {Z}} {\mathrm {H}}} $ production mode. |
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Figure 3-a:
Example of leading-order Feynman diagram for the $ {\mathrm {g}} {\mathrm {g}} \to {{\mathrm {Z}} {\mathrm {H}}} $ production mode. |
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Figure 3-b:
Example of leading-order Feynman diagram for the $ {\mathrm {g}} {\mathrm {g}} \to {{\mathrm {Z}} {\mathrm {H}}} $ production mode. |
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Figure 4:
Examples of leading-order Feynman diagrams for ${{\mathrm {t}} {\mathrm {H}}}$ production via the ${{\mathrm {t}} {\mathrm {H}} {\mathrm {W}}}$ (upper left and right) and ${{\mathrm {t}} {\mathrm {H}} {\mathrm {q}}}$ (lower) modes. |
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Figure 4-a:
Example of leading-order Feynman diagram for ${{\mathrm {t}} {\mathrm {H}}}$ production via the ${{\mathrm {t}} {\mathrm {H}} {\mathrm {W}}}$ mode. |
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Figure 4-b:
Example of leading-order Feynman diagram for ${{\mathrm {t}} {\mathrm {H}}}$ production via the ${{\mathrm {t}} {\mathrm {H}} {\mathrm {W}}}$ mode. |
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Figure 4-c:
Example of leading-order Feynman diagram for ${{\mathrm {t}} {\mathrm {H}}}$ production via the ${{\mathrm {t}} {\mathrm {H}} {\mathrm {q}}}$ mode. |
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Figure 5:
Summary plot of the fit to the per-production mode (left) and per-decay mode (right) signal strength modifiers. The thick and thin horizontal bars indicate the $ {\pm} 1 \sigma $ and $ {\pm} 2 \sigma $ uncertainties, respectively. Also shown are the $ {\pm} 1 \sigma $ systematic components of the uncertainties. The last point in the per-production mode summary plot is taken from a separate fit and indicates the result of the combined overall signal strength $\mu $. |
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Figure 5-a:
Summary plot of the fit to the per-production mode signal strength modifiers. The thick and thin horizontal bars indicate the $ {\pm} 1 \sigma $ and $ {\pm} 2 \sigma $ uncertainties, respectively. Also shown are the $ {\pm} 1 \sigma $ systematic components of the uncertainties. The last point is taken from a separate fit and indicates the result of the combined overall signal strength $\mu $. |
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Figure 5-b:
Summary plot of the fit to the per-decay mode signal strength modifiers. The thick and thin horizontal bars indicate the $ {\pm} 1 \sigma $ and $ {\pm} 2 \sigma $ uncertainties, respectively. Also shown are the $ {\pm} 1 \sigma $ systematic components of the uncertainties. |
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Figure 6:
Summary plot of the fit to the production-decay signal strength products $\mu _{i}^{f}=\mu _{i} \mu ^{f}$. The points indicate the best fit values while the horizontal bars indicate the $1\sigma $ CL intervals. The hatched areas indicate signal strengths that are restricted to nonnegative values as described in the text. |
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Figure 7:
Summary of the cross section and branching fraction ratio model. The thick and thin horizontal bars indicate the $ {\pm} 1 \sigma $ and $ {\pm} 2 \sigma $ uncertainties, respectively. Also shown are the $ {\pm} 1 \sigma $ systematic components of the uncertainties. |
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Figure 8:
Summary of the stage 0 model, ratios of cross sections and branching fractions. The points indicate the best fit values, while the error bars show the $ {\pm} 1 \sigma $ and $ {\pm} 2 \sigma $ uncertainties. The $ {\pm} 1 \sigma $ uncertainties on the measurements considering only the contributions from the systematic uncertainties are also shown. The uncertainties in the SM predictions are indicated. |
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Figure 9:
Summary of the $\kappa $-framework model assuming resolved loops and $ {{\mathcal {B}} _{\mathrm {BSM}}} =$ 0. The points indicate the best fit values while the thick and thin horizontal bars show the $1\sigma $ and $2\sigma $ CL intervals, respectively. In this model, the ggH and ${{\mathrm {H}} \to {{\gamma} {\gamma}}}$ loops are resolved in terms of the remaining coupling modifiers. For this model, both positive and negative values of $\kappa _{{\mathrm {W}}}$, $\kappa _{{\mathrm {Z}}}$, and $\kappa _{{\mathrm {b}}}$ are considered. Negative values of $\kappa _{{\mathrm {W}}}$ in this model are disfavored by more than $2\sigma $. |
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Figure 10:
Likelihood scan in the $M{\text{-}}\epsilon$ plane (left). The best fit point and the 1$\sigma$ and 2$\sigma$ CL regions are shown, along with the SM prediction. Result of the phenomenological $(M,\,\epsilon)$ fit overlayed with the resolved $\kappa$-framework model (right). |
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Figure 10-a:
Likelihood scan in the $M{\text{-}}\epsilon$ plane. The best fit point and the 1$\sigma$ and 2$\sigma$ CL regions are shown, along with the SM prediction. |
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Figure 10-b:
Result of the phenomenological $(M,\,\epsilon)$ fit overlayed with the resolved $\kappa$-framework model. |
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Figure 11:
Summary plots for the $\kappa $-framework model in which the ggH and ${{\mathrm {H}} \to {{\gamma} {\gamma}}}$ loops are scaled with effective couplings. The points indicate the best fit values while the thick and thin horizontal bars show the $1\sigma $ and $2\sigma $ CL intervals, respectively. In the left figure the constraint $ {{\mathcal {B}} _{\mathrm {BSM}}} =$ 0 is imposed, and both positive and negative values of $\kappa _{{\mathrm {W}}}$ and $\kappa _{{\mathrm {Z}}}$ are considered. In the right figure a constraint $ {| \kappa _{{\mathrm {W}}} |},\, {| \kappa _{{\mathrm {Z}}} |}\le $ 1 is imposed (same sign of $\kappa _{{\mathrm {W}}}$ and $\kappa _{{\mathrm {Z}}}$), while $ {{\mathcal {B}} _{\mathrm {inv}}} > $ 0 and $ {{\mathcal {B}} _{\mathrm {undet}}} > $ 0 are free parameters. |
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Figure 11-a:
Summary plot for the $\kappa $-framework model in which the ggH and ${{\mathrm {H}} \to {{\gamma} {\gamma}}}$ loops are scaled with effective couplings. The points indicate the best fit values while the thick and thin horizontal bars show the $1\sigma $ and $2\sigma $ CL intervals, respectively. In the figure the constraint $ {{\mathcal {B}} _{\mathrm {BSM}}} =$ 0 is imposed, and both positive and negative values of $\kappa _{{\mathrm {W}}}$ and $\kappa _{{\mathrm {Z}}}$ are considered. |
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Figure 11-b:
Summary plot for the $\kappa $-framework model in which the ggH and ${{\mathrm {H}} \to {{\gamma} {\gamma}}}$ loops are scaled with effective couplings. The points indicate the best fit values while the thick and thin horizontal bars show the $1\sigma $ and $2\sigma $ CL intervals, respectively. In the figure a constraint $ {| \kappa _{{\mathrm {W}}} |},\, {| \kappa _{{\mathrm {Z}}} |}\le $ 1 is imposed (same sign of $\kappa _{{\mathrm {W}}}$ and $\kappa _{{\mathrm {Z}}}$), while $ {{\mathcal {B}} _{\mathrm {inv}}} > $ 0 and $ {{\mathcal {B}} _{\mathrm {undet}}} > $ 0 are free parameters. |
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Figure 12:
Results within the generic $\kappa $-framework model with effective loops and with the constraint $ {| \kappa _{{\mathrm {W}}} |},\, {| \kappa _{{\mathrm {Z}}} |}\le $ 1 (same sign of $\kappa _{{\mathrm {W}}}$ and $\kappa _{{\mathrm {Z}}}$), and with $ {{\mathcal {B}} _{\mathrm {inv}}} > $ 0 and $ {{\mathcal {B}} _{\mathrm {undet}}} > $ 0 as free parameters. Scan of the test statistic $q$ as a function of $ {{\mathcal {B}} _{\mathrm {inv}}} $ (left), and 68 and 95% CL regions for $ {{\mathcal {B}} _{\mathrm {inv}}} $ vs. $ {{\mathcal {B}} _{\mathrm {undet}}} $ (right). The scan of the test statistic $q$ as a function of $ {{\mathcal {B}} _{\mathrm {inv}}} $ expected assuming the SM is also shown in the left figure. |
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Figure 12-a:
Results within the generic $\kappa $-framework model with effective loops and with the constraint $ {| \kappa _{{\mathrm {W}}} |},\, {| \kappa _{{\mathrm {Z}}} |}\le $ 1 (same sign of $\kappa _{{\mathrm {W}}}$ and $\kappa _{{\mathrm {Z}}}$), and with $ {{\mathcal {B}} _{\mathrm {inv}}} > $ 0 and $ {{\mathcal {B}} _{\mathrm {undet}}} > $ 0 as free parameters. Scan of the test statistic $q$ as a function of $ {{\mathcal {B}} _{\mathrm {inv}}} $. The scan of the test statistic $q$ as a function of $ {{\mathcal {B}} _{\mathrm {inv}}} $ expected assuming the SM is also shown. |
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Figure 12-b:
Results within the generic $\kappa $-framework model with effective loops and with the constraint $ {| \kappa _{{\mathrm {W}}} |},\, {| \kappa _{{\mathrm {Z}}} |}\le $ 1 (same sign of $\kappa _{{\mathrm {W}}}$ and $\kappa _{{\mathrm {Z}}}$), and with $ {{\mathcal {B}} _{\mathrm {inv}}} > $ 0 and $ {{\mathcal {B}} _{\mathrm {undet}}} > $ 0 as free parameters. 68 and 95% CL regions for $ {{\mathcal {B}} _{\mathrm {inv}}} $ vs. $ {{\mathcal {B}} _{\mathrm {undet}}} $. |
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Figure 13:
Scan of the test statistic $q$ as a function of $\kappa _{{\mathrm {W}}}$ in the generic $\kappa $ model assuming $ {{\mathcal {B}} _{\mathrm {BSM}}} =$ 0 (left) and allowing $ {{\mathcal {B}} _{\mathrm {inv}}} $ and $ {{\mathcal {B}} _{\mathrm {undet}}} $ to float (right). The different colored lines indicate the value of $q$ for different combinations of signs for $\kappa _{{\mathrm {W}}}$ and $\kappa _{{\mathrm {Z}}}$. The solid black line shows the minimum value of $q(\kappa _{{\mathrm {W}}})$ in each case and is used to determine the best fit point and the $1\sigma $ and $2\sigma $ CL regions. The scan in the right figure is truncated because of the constraints of $ {| \kappa _{{\mathrm {W}}} |}\le $ 1 and $ {| \kappa _{{\mathrm {Z}}} |}\le $ 1, which are imposed in this model. |
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Figure 13-a:
Scan of the test statistic $q$ as a function of $\kappa _{{\mathrm {W}}}$ in the generic $\kappa $ model assuming $ {{\mathcal {B}} _{\mathrm {BSM}}} =$ 0. The different colored lines indicate the value of $q$ for different combinations of signs for $\kappa _{{\mathrm {W}}}$ and $\kappa _{{\mathrm {Z}}}$. The solid black line shows the minimum value of $q(\kappa _{{\mathrm {W}}})$ in each case and is used to determine the best fit point and the $1\sigma $ and $2\sigma $ CL regions. |
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Figure 13-b:
Scan of the test statistic $q$ as a function of $\kappa _{{\mathrm {W}}}$ in the generic $\kappa $ model allowing $ {{\mathcal {B}} _{\mathrm {inv}}} $ and $ {{\mathcal {B}} _{\mathrm {undet}}} $ to float. The different colored lines indicate the value of $q$ for different combinations of signs for $\kappa _{{\mathrm {W}}}$ and $\kappa _{{\mathrm {Z}}}$. The solid black line shows the minimum value of $q(\kappa _{{\mathrm {W}}})$ in each case and is used to determine the best fit point and the $1\sigma $ and $2\sigma $ CL regions. The scan is truncated because of the constraints of $ {| \kappa _{{\mathrm {W}}} |}\le $ 1 and $ {| \kappa _{{\mathrm {Z}}} |}\le $ 1, which are imposed in this model. |
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Figure 14:
The scan of the test statistic $q$ as a function of $\Gamma _{{\mathrm {H}}}/\Gamma _{{\mathrm {H}}}^{\mathrm {SM}}$ obtained by reinterpreting the model allowing for BSM decays of the Higgs boson. The expected scan of $q$ as a function of $\Gamma _{{\mathrm {H}}}/\Gamma _{{\mathrm {H}}}^{\mathrm {SM}}$ assuming the SM is also shown. |
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Figure 15:
The $1\sigma $ and $2\sigma $ CL regions in the $\kappa _{{\mathrm {g}}}$ vs. $\kappa _{{\gamma}}$ parameter space for the model assuming the only BSM contributions to the Higgs boson couplings appear in the loop-induced processes or in BSM Higgs decays. |
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Figure 16:
Summary of the model with coupling ratios and effective couplings for the ggH and ${{\mathrm {H}} \to {{\gamma} {\gamma}}}$ loops. The points indicate the best fit values while the thick and thin horizontal bars show the $1\sigma $ and $2\sigma $ CL intervals, respectively. For this model, both positive and negative values of $\lambda _{{\mathrm {W}} {\mathrm {Z}}}$ and $\lambda _{{\mathrm {t}} {\mathrm {g}}}$ are considered. |
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Figure 17:
The $1\sigma $ and $2\sigma $ CL regions in the $\kappa _{\mathrm {F}}$ vs. $\kappa _{\mathrm {V}}$ parameter space for the model assuming a common scaling of all the vector boson and fermion couplings. |
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Figure 18:
Summary plots of the 3-parameter models comparing up- and down-type fermions, and floating the ratio of the vector coupling to the up-type coupling (left) and comparing lepton and quark couplings (right). The points indicate the best fit values while the thick and thin horizontal bars show the $1\sigma $ and $2\sigma $ CL intervals, respectively. Both positive and negative values of $\lambda _{{\mathrm {d}} {\mathrm {u}}}$, $\lambda _{\mathrm {V} {\mathrm {u}}}$, $\lambda _{\text {l} {\mathrm {q}}}$, and $\lambda _{\mathrm {V} {\mathrm {q}}}$ are considered. |
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Figure 18-a:
Summary plot of the 3-parameter model comparing up- and down-type fermions, and floating the ratio of the vector coupling to the up-type coupling. The points indicate the best fit values while the thick and thin horizontal bars show the $1\sigma $ and $2\sigma $ CL intervals, respectively. Positive and negative values of $\lambda _{{\mathrm {d}} {\mathrm {u}}}$ and $\lambda _{\mathrm {V} {\mathrm {u}}}$ are considered. |
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Figure 18-b:
Summary plot of the 3-parameter models comparing lepton and quark couplings. The points indicate the best fit values while the thick and thin horizontal bars show the $1\sigma $ and $2\sigma $ CL intervals, respectively. Positive and negative values of $\lambda _{\text {l} {\mathrm {q}}}$ and $\lambda _{\mathrm {V} {\mathrm {q}}}$ are considered. |
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Figure 19:
Constraints in the $\cos({\beta -\alpha})$ vs. $\tan\beta $ plane for the Types I, II, III, and IV 2HDM, and constraints in the $m_ {\mathrm {A}} $ vs. $\tan\beta $ plane for the hMSSM. The white regions, bounded by the solid black lines, in each plane represent the regions of the parameter space that are allowed at the 95% CL, given the data observed. The dashed lines indicate the boundaries of the allowed regions expected for the SM Higgs boson. |
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Figure 19-a:
Constraints in the $\cos({\beta -\alpha})$ vs. $\tan\beta $ plane for the Types I 2HDM. The white regions, bounded by the solid black lines, in each plane represent the regions of the parameter space that are allowed at the 95% CL, given the data observed. The dashed lines indicate the boundaries of the allowed regions expected for the SM Higgs boson. |
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Figure 19-b:
Constraints in the $\cos({\beta -\alpha})$ vs. $\tan\beta $ plane for the Types II 2HDM. The white regions, bounded by the solid black lines, in each plane represent the regions of the parameter space that are allowed at the 95% CL, given the data observed. The dashed lines indicate the boundaries of the allowed regions expected for the SM Higgs boson. |
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Figure 19-c:
Constraints in the $\cos({\beta -\alpha})$ vs. $\tan\beta $ plane for the Types III 2HDM. The white regions, bounded by the solid black lines, in each plane represent the regions of the parameter space that are allowed at the 95% CL, given the data observed. The dashed lines indicate the boundaries of the allowed regions expected for the SM Higgs boson. |
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Figure 19-d:
Constraints in the $\cos({\beta -\alpha})$ vs. $\tan\beta $ plane for the Types IV 2HDM. The white regions, bounded by the solid black lines, in each plane represent the regions of the parameter space that are allowed at the 95% CL, given the data observed. The dashed lines indicate the boundaries of the allowed regions expected for the SM Higgs boson. |
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Figure 19-e:
Constraints in the $m_ {\mathrm {A}} $ vs. $\tan\beta $ plane for the hMSSM. The white regions, bounded by the solid black lines, in each plane represent the regions of the parameter space that are allowed at the 95% CL, given the data observed. The dashed lines indicate the boundaries of the allowed regions expected for the SM Higgs boson. |
Tables | |
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Table 2:
Best fit values and $ {\pm} 1 \sigma $ uncertainties for the parameters of the parametrizations with per-production mode and per-decay mode signal strength modifiers. The expected uncertainties are given in brackets. |
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Table 3:
Best fit values and $ {\pm} 1 \sigma $ uncertainties for the parameters of the model with one signal strength parameter for each production and decay mode combination. The entries in the table represent the parameter $\mu _{i}^{f}=\mu _{i} \mu ^{f}$, where $i$ is indicated by the column and $f$ by the row. The expected uncertainties are given in brackets. Some of the signal strengths are restricted to nonnegative values, as described in the text. |
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Table 4:
Best fit values and $ {\pm} 1 \sigma $ uncertainties for the parameters of the cross section and branching fraction ratio model. The expected uncertainties are given in brackets. |
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Table 5:
Best fit values and $ {\pm} 1 \sigma $ uncertainties for the parameters of the stage 0 simplified template cross section model. The values are all normalized to the SM predictions. The expected uncertainties are given in brackets. |
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Table 6:
Normalization scaling factors for all relevant production cross sections and decay partial widths. For the $\kappa $ parameters representing loop processes, the resolved scaling in terms of the fundamental SM couplings is also given. |
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Table 7:
Best fit values and $ {\pm} 1 \sigma $ uncertainties for the parameters of the $\kappa $ model in which the loop processes are resolved. The expected uncertainties are given in brackets. |
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Table 8:
Best fit values and $ {\pm} 1 \sigma $ uncertainties for the parameters of the $\kappa $-framework model with effective loops. The expected uncertainties are given in brackets. |
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Table 9:
Best fit values and $ {\pm} 1 \sigma $ uncertainties for the parameters of the coupling modifier ratio model. The expected uncertainties are given in brackets. |
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Table 10:
Best fit values and $ {\pm} 1 \sigma $ uncertainties for the parameters of the $\kappa _{\mathrm {V}},\kappa _{\mathrm {F}}$ model. The expected uncertainties are given in brackets. |
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Table 11:
Best fit values and $ {\pm} 1 \sigma $ uncertainties for the parameters of the two benchmark models with resolved loops to test the symmetry of fermion couplings. The expected uncertainties are given in brackets. |
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Table 12:
Compatibility of the fit results with the SM prediction under various signal parametrizations. The value of $q$ at the values of the POIs for which the SM expectation is obtained ($q_{\text {SM}}$) is shown along with the corresponding $p$-value, with respect to the SM, assuming $q$ is distributed according to a $\chi ^{2}$ function with the specified number of degrees of freedom (DOF). |
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Table 13:
Modifications to the couplings of the Higgs bosons to up-type ($\kappa _{{\mathrm {u}}}$) and down-type ($\kappa _{{\mathrm {d}}}$) fermions, and vector bosons ($\kappa _{\mathrm {V}}$), with respect to the SM expectation, in 2HDM and for the hMSSM. The coupling modifications for the hMSSM are completed by the expressions for $s_{{\mathrm {u}}}$ and $s_{{\mathrm {d}}}$, as given by Eqs. (8) and (9). |
Summary |
A set of combined measurements of Higgs boson production and decay rates has been presented, along with the consequential constraints placed on its couplings to standard model (SM) particles, and on the parameter spaces of several beyond the standard model (BSM) scenarios. The combination is based on analyses targeting the gluon fusion and vector boson fusion production modes, and associated production with a vector boson or a pair of top quarks. The analyses included in the combination target Higgs boson decay in the $\mathrm{H} \to \mathrm{Z}\mathrm{Z},\,\mathrm{W}\mathrm{W},\,{\gamma\gamma} ,\,{\tau\tau} $, ${\mathrm{b}\mathrm{b}} $, and $ {\mu \mu } $ channels, using 13 TeV proton-proton collision data collected in 2016 and corresponding to an integrated luminosity of 35.9 fb$^{-1}$. Additionally, searches for invisible Higgs boson decays are included to increase the sensitivity to potential interactions with BSM particles. Measurements of the Higgs boson production cross section times branching fraction in each of the channels are presented, along with a generic parametrization in terms of ratios of production cross sections and branching fractions, which makes no assumptions about the Higgs boson total width. The combined signal yield relative to the SM prediction has been measured as 1.17 $\pm$ 0.10 at $m_{\mathrm{H}} = $ 125.09 GeV. An improvement in the measured precision of the gluon fusion production rate of around $\sim$50% is achieved compared to previous ATLAS and CMS measurements. Additionally, a set of fiducial Higgs boson cross sections, in the context of the simplified template cross section framework, is presented for the first time from a combination of six decay channels. Furthermore, interpretations are provided in the context of a leading-order coupling modifier framework, including variants for which effective couplings to the photon and gluon are introduced. All of the results presented are compatible with the SM prediction. The invisible (undetected) branching fraction of the Higgs boson is constrained to be less than 22 (38%) at 95% Confidence Level. The results are additionally interpreted in two BSM models, the minimal supersymmetric model and the generic two Higgs doublet model. The constraints placed on the parameter spaces of these models are complementary to those that can be obtained from direct searches for additional Higgs bosons. |
Additional Figures | |
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Additional Figure 1:
The correlation coefficients ($\rho $) obtained from the fit to data for the model with one signal strength parameter for each production and decay mode combination $\mu _{i}^{f}$. The production modes $i$ include gluon fusion (ggH), vector boson fusion (VBF), associated production with a vector boson (WH, ZH) and associated production with a pair of top quarks (ttH). The decay modes $f$ include ZZ, WW, $\gamma \gamma $, $\tau \tau $, bb and $ {{\mu}} {{\mu}}$. |
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Additional Figure 2:
The correlation coefficients ($\rho $) obtained from the fit to data for the stage 0 simplified template cross section model. Six of the parameters represent the fiducial cross sections $\sigma _{{{\mathrm {g}} {\mathrm {g}} {\mathrm {H}}}}$, $\sigma _{{\mathrm {VBF}}}$, $\sigma _{{\mathrm {H}} +\rm {V}({\mathrm {q}} {\mathrm {q}})}$, $\sigma _{{\mathrm {H}} + {\mathrm {W}}(\ell \nu)}$, $\sigma _{{\mathrm {H}} +{{\mathrm {Z}}(\ell \ell /\nu \nu)}}$ and $\sigma _{{{\mathrm {t}} {\mathrm {t}} {\mathrm {H}}}}$ multiplied by the branching fraction $\mathcal {B}^{{\mathrm {Z}} {\mathrm {Z}}}$. The remaining five parameters represent the branching fractions for WW, $\gamma \gamma $, $\tau \tau $, $ {{\mathrm {b}} {\mathrm {b}}} $ and $ {{\mu}} {{\mu}}$ divided by $\mathcal {B}^{{\mathrm {Z}} {\mathrm {Z}}}$. |
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