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CMS-PAS-FTR-18-011
Sensitivity projections for Higgs boson properties measurements at the HL-LHC
Abstract: The expected sensitivities of Higgs boson measurements at the High-Luminosity LHC with integrated luminosities of up to 3000 fb$^{-1}$ are presented. These are determined by the extrapolation of analyses of 13 TeV collision data, amounting to 35.9 fb$^{-1}$, collected during Run 2 of the LHC. Projections are given for a combined measurement of coupling modifiers and signal strengths, with additional studies for ttH and VH production with $\text{H}\to\text{bb}$ decay, and for production in association with a single top quark. Projections are also given for the measurement of the Higgs boson transverse momentum differential cross section, and expected constraints on anomalous couplings and the total width are determined using on- and off-shell $\text{H}\to\text{ZZ}$ measurements.
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Figures

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Figure 1:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the per-decay-mode signal strength parameters for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right). The statistical-only component of the uncertainty is also shown.

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Figure 1-a:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the per-decay-mode signal strength parameters for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right). The statistical-only component of the uncertainty is also shown.

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Figure 1-b:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the per-decay-mode signal strength parameters for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right). The statistical-only component of the uncertainty is also shown.

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Figure 2:
Correlation coefficients ($\rho $) between parameters in the signal strength per-decay-mode parametrisation for S2 (with YR18 systematic uncertainties) at 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right).

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Figure 2-a:
Correlation coefficients ($\rho $) between parameters in the signal strength per-decay-mode parametrisation for S2 (with YR18 systematic uncertainties) at 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right).

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Figure 2-b:
Correlation coefficients ($\rho $) between parameters in the signal strength per-decay-mode parametrisation for S2 (with YR18 systematic uncertainties) at 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right).

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Figure 3:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the per-production-mode signal strength parameters for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right). The statistical-only component of the uncertainty is also shown.

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Figure 3-a:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the per-production-mode signal strength parameters for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right). The statistical-only component of the uncertainty is also shown.

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Figure 3-b:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the per-production-mode signal strength parameters for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right). The statistical-only component of the uncertainty is also shown.

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Figure 4:
Correlation coefficients ($\rho $) between parameters in the signal strength per-production-mode parametrisation for S2 (with YR18 systematic uncertainties) at 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right).

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Figure 4-a:
Correlation coefficients ($\rho $) between parameters in the signal strength per-production-mode parametrisation for S2 (with YR18 systematic uncertainties) at 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right).

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Figure 4-b:
Correlation coefficients ($\rho $) between parameters in the signal strength per-production-mode parametrisation for S2 (with YR18 systematic uncertainties) at 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right).

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Figure 5:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the coupling modifier parameters for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right). The statistical-only component of the uncertainty is also shown.

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Figure 5-a:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the coupling modifier parameters for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right). The statistical-only component of the uncertainty is also shown.

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Figure 5-b:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the coupling modifier parameters for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right). The statistical-only component of the uncertainty is also shown.

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Figure 6:
Correlation coefficients ($\rho $) between parameters in the coupling modifier parametrisation for S2 (with YR18 systematic uncertainties) at 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right).

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Figure 6-a:
Correlation coefficients ($\rho $) between parameters in the coupling modifier parametrisation for S2 (with YR18 systematic uncertainties) at 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right).

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Figure 6-b:
Correlation coefficients ($\rho $) between parameters in the coupling modifier parametrisation for S2 (with YR18 systematic uncertainties) at 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right).

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Figure 7:
Expected uncertainties on the ttH signal strength as a function of the integrated luminosity under the S1 (left, with Run 2 systematic uncertainties [27]) and S2 (right, with YR18 systematic uncertainties) scenarios. Shown are the total uncertainty (black) and contributions of different groups of uncertainties. Results with 35.9 fb$^{-1}$ are intended for comparison with the projections to higher luminosities and differ in parts from [27] for consistency with the projected results: uncertainties due to the limited number of MC events have been omitted and theory systematic uncertainties have been halved in case of the scenario S2.

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Figure 7-a:
Expected uncertainties on the ttH signal strength as a function of the integrated luminosity under the S1 (left, with Run 2 systematic uncertainties [27]) and S2 (right, with YR18 systematic uncertainties) scenarios. Shown are the total uncertainty (black) and contributions of different groups of uncertainties. Results with 35.9 fb$^{-1}$ are intended for comparison with the projections to higher luminosities and differ in parts from [27] for consistency with the projected results: uncertainties due to the limited number of MC events have been omitted and theory systematic uncertainties have been halved in case of the scenario S2.

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Figure 7-b:
Expected uncertainties on the ttH signal strength as a function of the integrated luminosity under the S1 (left, with Run 2 systematic uncertainties [27]) and S2 (right, with YR18 systematic uncertainties) scenarios. Shown are the total uncertainty (black) and contributions of different groups of uncertainties. Results with 35.9 fb$^{-1}$ are intended for comparison with the projections to higher luminosities and differ in parts from [27] for consistency with the projected results: uncertainties due to the limited number of MC events have been omitted and theory systematic uncertainties have been halved in case of the scenario S2.

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Figure 8:
Uncertainty on the signal strength $\mu _{\text {VHbb}}$ as a function of integrated luminosity for S1 (with Run 2 systematic uncertainties [24]) and S2 (with YR18 systematic uncertainties). Results with 35.9 fb$^{-1}$ are intended for comparison with the projections to higher luminosities and differ in parts from [24] for consistency with the projected results: uncertainties due to the limited number of MC events have been omitted and theory systematic uncertainties have been halved in case of the scenario S2.

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Figure 9:
Uncertainties in the overall signal strength $\mu _{\text {VHbb}}$ at 300 and 3000 fb$^{-1}$ (left) and per-process and per-channel signal strengths at 3000 fb$^{-1}$ (right). Values are given for the S1 (with Run 2 systematic uncertainties [24]) and S2 (with YR18 systematic uncertainties) scenarios, as well as a scenario in which all systematic uncertainties are removed.

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Figure 9-a:
Uncertainties in the overall signal strength $\mu _{\text {VHbb}}$ at 300 and 3000 fb$^{-1}$ (left) and per-process and per-channel signal strengths at 3000 fb$^{-1}$ (right). Values are given for the S1 (with Run 2 systematic uncertainties [24]) and S2 (with YR18 systematic uncertainties) scenarios, as well as a scenario in which all systematic uncertainties are removed.

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Figure 9-b:
Uncertainties in the overall signal strength $\mu _{\text {VHbb}}$ at 300 and 3000 fb$^{-1}$ (left) and per-process and per-channel signal strengths at 3000 fb$^{-1}$ (right). Values are given for the S1 (with Run 2 systematic uncertainties [24]) and S2 (with YR18 systematic uncertainties) scenarios, as well as a scenario in which all systematic uncertainties are removed.

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Figure 10:
Effect of varying the b tagging efficiency ($\varepsilon ^{\text {b-tag}}$) on the uncertainty in the signal strength measurement when considering all systematic uncertainties.

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Figure 11:
The representative leading-order diagrams for tHq production.

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Figure 11-a:
The representative leading-order diagrams for tHq production.

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Figure 11-b:
The representative leading-order diagrams for tHq production.

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Figure 12:
Scan of the test statistic $q$ versus $ {\kappa _{{\mathrm {t}}}} $ for the Asimov data sets corresponding to $ {\kappa _{\mathrm {V}}} =$ 1 for the two integrated luminosity scenarios in S1 (with Run 2 systematic uncertainties [38]) and S2 (with YR18 systematic uncertainties).

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Figure 12-a:
Scan of the test statistic $q$ versus $ {\kappa _{{\mathrm {t}}}} $ for the Asimov data sets corresponding to $ {\kappa _{\mathrm {V}}} =$ 1 for the two integrated luminosity scenarios in S1 (with Run 2 systematic uncertainties [38]) and S2 (with YR18 systematic uncertainties).

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Figure 12-b:
Scan of the test statistic $q$ versus $ {\kappa _{{\mathrm {t}}}} $ for the Asimov data sets corresponding to $ {\kappa _{\mathrm {V}}} =$ 1 for the two integrated luminosity scenarios in S1 (with Run 2 systematic uncertainties [38]) and S2 (with YR18 systematic uncertainties).

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Figure 13:
The variation of expected upper limit on $\mu _{{{\mathrm {t}} {\mathrm {H}}}}$ with integrated luminosity for two projection scenarios S1 (with Run 2 systematic uncertainties [38]) and S2 (with YR18 systematic uncertainties).

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Figure 13-a:
The variation of expected upper limit on $\mu _{{{\mathrm {t}} {\mathrm {H}}}}$ with integrated luminosity for two projection scenarios S1 (with Run 2 systematic uncertainties [38]) and S2 (with YR18 systematic uncertainties).

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Figure 13-b:
The variation of expected upper limit on $\mu _{{{\mathrm {t}} {\mathrm {H}}}}$ with integrated luminosity for two projection scenarios S1 (with Run 2 systematic uncertainties [38]) and S2 (with YR18 systematic uncertainties).

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Figure 14:
Projected differential cross section for the $ {{p_{\mathrm {T}}} ({\mathrm {H}})} $ spectrum at an integrated luminosity of 3000 fb$^{-1}$, under S1 (left, with Run 2 systematic uncertainties [41]) and S2 (right, with YR18 systematic uncertainties).

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Figure 14-a:
Projected differential cross section for the $ {{p_{\mathrm {T}}} ({\mathrm {H}})} $ spectrum at an integrated luminosity of 3000 fb$^{-1}$, under S1 (left, with Run 2 systematic uncertainties [41]) and S2 (right, with YR18 systematic uncertainties).

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Figure 14-b:
Projected differential cross section for the $ {{p_{\mathrm {T}}} ({\mathrm {H}})} $ spectrum at an integrated luminosity of 3000 fb$^{-1}$, under S1 (left, with Run 2 systematic uncertainties [41]) and S2 (right, with YR18 systematic uncertainties).

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Figure 15:
Projected simultaneous fit for $\kappa _\textrm {b}$ and $\kappa _\textrm {c}$, assuming the branching fractions to be determined by the couplings (left) and the branching fractions implemented as nuisance parameters with no prior constraint (right), under S1 (top) and S2 (bottom). The one standard deviation contour is drawn for the combination ($ {{\mathrm {H}} \to {\gamma \gamma}} $ and $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $), the $ {{\mathrm {H}} \to {\gamma \gamma}} $ channel, and the $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $ channel in black, red, and blue, respectively. For the combination the two standard deviation contour is drawn as a black dashed line, and the shading indicates the negative log-likelihood, with the scale shown on the right hand side of the plots.

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Figure 15-a:
Projected simultaneous fit for $\kappa _\textrm {b}$ and $\kappa _\textrm {c}$, assuming the branching fractions to be determined by the couplings (left) and the branching fractions implemented as nuisance parameters with no prior constraint (right), under S1 (top) and S2 (bottom). The one standard deviation contour is drawn for the combination ($ {{\mathrm {H}} \to {\gamma \gamma}} $ and $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $), the $ {{\mathrm {H}} \to {\gamma \gamma}} $ channel, and the $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $ channel in black, red, and blue, respectively. For the combination the two standard deviation contour is drawn as a black dashed line, and the shading indicates the negative log-likelihood, with the scale shown on the right hand side of the plots.

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Figure 15-b:
Projected simultaneous fit for $\kappa _\textrm {b}$ and $\kappa _\textrm {c}$, assuming the branching fractions to be determined by the couplings (left) and the branching fractions implemented as nuisance parameters with no prior constraint (right), under S1 (top) and S2 (bottom). The one standard deviation contour is drawn for the combination ($ {{\mathrm {H}} \to {\gamma \gamma}} $ and $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $), the $ {{\mathrm {H}} \to {\gamma \gamma}} $ channel, and the $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $ channel in black, red, and blue, respectively. For the combination the two standard deviation contour is drawn as a black dashed line, and the shading indicates the negative log-likelihood, with the scale shown on the right hand side of the plots.

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Figure 15-c:
Projected simultaneous fit for $\kappa _\textrm {b}$ and $\kappa _\textrm {c}$, assuming the branching fractions to be determined by the couplings (left) and the branching fractions implemented as nuisance parameters with no prior constraint (right), under S1 (top) and S2 (bottom). The one standard deviation contour is drawn for the combination ($ {{\mathrm {H}} \to {\gamma \gamma}} $ and $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $), the $ {{\mathrm {H}} \to {\gamma \gamma}} $ channel, and the $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $ channel in black, red, and blue, respectively. For the combination the two standard deviation contour is drawn as a black dashed line, and the shading indicates the negative log-likelihood, with the scale shown on the right hand side of the plots.

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Figure 15-d:
Projected simultaneous fit for $\kappa _\textrm {b}$ and $\kappa _\textrm {c}$, assuming the branching fractions to be determined by the couplings (left) and the branching fractions implemented as nuisance parameters with no prior constraint (right), under S1 (top) and S2 (bottom). The one standard deviation contour is drawn for the combination ($ {{\mathrm {H}} \to {\gamma \gamma}} $ and $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $), the $ {{\mathrm {H}} \to {\gamma \gamma}} $ channel, and the $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $ channel in black, red, and blue, respectively. For the combination the two standard deviation contour is drawn as a black dashed line, and the shading indicates the negative log-likelihood, with the scale shown on the right hand side of the plots.

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Figure 16:
Projected simultaneous fit for $\kappa _\textrm {t}$ and $c_\textrm {g}$, assuming the branching fractions to be determined by the couplings (left) and the branching fractions implemented as nuisance parameters with no prior constraint (right), under S1 (top) and S2 (bottom). The one standard deviation contour is drawn for the combination ($ {{\mathrm {H}} \to {\gamma \gamma}} $, $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $, and $ {{\mathrm {H}} \to {\mathrm{b} \mathrm{b}}} $), the $ {{\mathrm {H}} \to {\gamma \gamma}} $ channel, and the $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $ channel in black, red, and blue, respectively. For the combination the two standard deviation contour is drawn as a black dashed line, and the shading indicates the negative log-likelihood, with the scale shown on the right hand side of the plots.

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Figure 16-a:
Projected simultaneous fit for $\kappa _\textrm {t}$ and $c_\textrm {g}$, assuming the branching fractions to be determined by the couplings (left) and the branching fractions implemented as nuisance parameters with no prior constraint (right), under S1 (top) and S2 (bottom). The one standard deviation contour is drawn for the combination ($ {{\mathrm {H}} \to {\gamma \gamma}} $, $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $, and $ {{\mathrm {H}} \to {\mathrm{b} \mathrm{b}}} $), the $ {{\mathrm {H}} \to {\gamma \gamma}} $ channel, and the $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $ channel in black, red, and blue, respectively. For the combination the two standard deviation contour is drawn as a black dashed line, and the shading indicates the negative log-likelihood, with the scale shown on the right hand side of the plots.

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Figure 16-b:
Projected simultaneous fit for $\kappa _\textrm {t}$ and $c_\textrm {g}$, assuming the branching fractions to be determined by the couplings (left) and the branching fractions implemented as nuisance parameters with no prior constraint (right), under S1 (top) and S2 (bottom). The one standard deviation contour is drawn for the combination ($ {{\mathrm {H}} \to {\gamma \gamma}} $, $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $, and $ {{\mathrm {H}} \to {\mathrm{b} \mathrm{b}}} $), the $ {{\mathrm {H}} \to {\gamma \gamma}} $ channel, and the $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $ channel in black, red, and blue, respectively. For the combination the two standard deviation contour is drawn as a black dashed line, and the shading indicates the negative log-likelihood, with the scale shown on the right hand side of the plots.

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Figure 16-c:
Projected simultaneous fit for $\kappa _\textrm {t}$ and $c_\textrm {g}$, assuming the branching fractions to be determined by the couplings (left) and the branching fractions implemented as nuisance parameters with no prior constraint (right), under S1 (top) and S2 (bottom). The one standard deviation contour is drawn for the combination ($ {{\mathrm {H}} \to {\gamma \gamma}} $, $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $, and $ {{\mathrm {H}} \to {\mathrm{b} \mathrm{b}}} $), the $ {{\mathrm {H}} \to {\gamma \gamma}} $ channel, and the $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $ channel in black, red, and blue, respectively. For the combination the two standard deviation contour is drawn as a black dashed line, and the shading indicates the negative log-likelihood, with the scale shown on the right hand side of the plots.

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Figure 16-d:
Projected simultaneous fit for $\kappa _\textrm {t}$ and $c_\textrm {g}$, assuming the branching fractions to be determined by the couplings (left) and the branching fractions implemented as nuisance parameters with no prior constraint (right), under S1 (top) and S2 (bottom). The one standard deviation contour is drawn for the combination ($ {{\mathrm {H}} \to {\gamma \gamma}} $, $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $, and $ {{\mathrm {H}} \to {\mathrm{b} \mathrm{b}}} $), the $ {{\mathrm {H}} \to {\gamma \gamma}} $ channel, and the $ {{\mathrm {H}} \to {{\mathrm {Z}} {\mathrm {Z}}}} $ channel in black, red, and blue, respectively. For the combination the two standard deviation contour is drawn as a black dashed line, and the shading indicates the negative log-likelihood, with the scale shown on the right hand side of the plots.

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Figure 17:
Likelihood scans for projections on ${{f_{a 3}} {\cos\left ({\phi _{a 3}} \right)}}$ (left) and ${\Gamma _ {\mathrm {H}}}$ (right) at 3000 fb$^{-1}$. On the left plot, the scans are shown using either the combination of on-shell and off-shell events (red) or only on-shell events (blue). The dashed lines represent the effect of removing all systematic uncertainties. In the right plot, scenarios S2 (solid magenta) and S1 (dotted red) are compared to the case where all systematic uncertainties (dashed black) are removed. The dashed horizontal lines indicate the 68% and 95% CLs. The ${{f_{a 3}} {\cos\left ({\phi _{a 3}} \right)}}$ scans assume $ {\Gamma _ {\mathrm {H}}} = {\Gamma _ {\mathrm {H}} ^{\mathrm {SM}}} $, and the ${\Gamma _ {\mathrm {H}}}$ scans assume $ {f_{a i}} =$ 0.

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Figure 17-a:
Likelihood scans for projections on ${{f_{a 3}} {\cos\left ({\phi _{a 3}} \right)}}$ (left) and ${\Gamma _ {\mathrm {H}}}$ (right) at 3000 fb$^{-1}$. On the left plot, the scans are shown using either the combination of on-shell and off-shell events (red) or only on-shell events (blue). The dashed lines represent the effect of removing all systematic uncertainties. In the right plot, scenarios S2 (solid magenta) and S1 (dotted red) are compared to the case where all systematic uncertainties (dashed black) are removed. The dashed horizontal lines indicate the 68% and 95% CLs. The ${{f_{a 3}} {\cos\left ({\phi _{a 3}} \right)}}$ scans assume $ {\Gamma _ {\mathrm {H}}} = {\Gamma _ {\mathrm {H}} ^{\mathrm {SM}}} $, and the ${\Gamma _ {\mathrm {H}}}$ scans assume $ {f_{a i}} =$ 0.

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Figure 17-b:
Likelihood scans for projections on ${{f_{a 3}} {\cos\left ({\phi _{a 3}} \right)}}$ (left) and ${\Gamma _ {\mathrm {H}}}$ (right) at 3000 fb$^{-1}$. On the left plot, the scans are shown using either the combination of on-shell and off-shell events (red) or only on-shell events (blue). The dashed lines represent the effect of removing all systematic uncertainties. In the right plot, scenarios S2 (solid magenta) and S1 (dotted red) are compared to the case where all systematic uncertainties (dashed black) are removed. The dashed horizontal lines indicate the 68% and 95% CLs. The ${{f_{a 3}} {\cos\left ({\phi _{a 3}} \right)}}$ scans assume $ {\Gamma _ {\mathrm {H}}} = {\Gamma _ {\mathrm {H}} ^{\mathrm {SM}}} $, and the ${\Gamma _ {\mathrm {H}}}$ scans assume $ {f_{a i}} =$ 0.

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Figure 18:
Evolution of the uncertainty contribution with integrated luminosity for the per-decay signal strength parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 18-a:
Evolution of the uncertainty contribution with integrated luminosity for the per-decay signal strength parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 18-b:
Evolution of the uncertainty contribution with integrated luminosity for the per-decay signal strength parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 18-c:
Evolution of the uncertainty contribution with integrated luminosity for the per-decay signal strength parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 18-d:
Evolution of the uncertainty contribution with integrated luminosity for the per-decay signal strength parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 18-e:
Evolution of the uncertainty contribution with integrated luminosity for the per-decay signal strength parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 18-f:
Evolution of the uncertainty contribution with integrated luminosity for the per-decay signal strength parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 19:
Evolution of the uncertainty contribution with integrated luminosity for the per-decay signal strength parameters in S2 (with YR18 systematic uncertainties).

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Figure 19-a:
Evolution of the uncertainty contribution with integrated luminosity for the per-decay signal strength parameters in S2 (with YR18 systematic uncertainties).

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Figure 19-b:
Evolution of the uncertainty contribution with integrated luminosity for the per-decay signal strength parameters in S2 (with YR18 systematic uncertainties).

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Figure 19-c:
Evolution of the uncertainty contribution with integrated luminosity for the per-decay signal strength parameters in S2 (with YR18 systematic uncertainties).

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Figure 19-d:
Evolution of the uncertainty contribution with integrated luminosity for the per-decay signal strength parameters in S2 (with YR18 systematic uncertainties).

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Figure 19-e:
Evolution of the uncertainty contribution with integrated luminosity for the per-decay signal strength parameters in S2 (with YR18 systematic uncertainties).

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Figure 19-f:
Evolution of the uncertainty contribution with integrated luminosity for the per-decay signal strength parameters in S2 (with YR18 systematic uncertainties).

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Figure 20:
Evolution of the uncertainty contribution with integrated luminosity for the per-production signal strength parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 20-a:
Evolution of the uncertainty contribution with integrated luminosity for the per-production signal strength parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 20-b:
Evolution of the uncertainty contribution with integrated luminosity for the per-production signal strength parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 20-c:
Evolution of the uncertainty contribution with integrated luminosity for the per-production signal strength parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 20-d:
Evolution of the uncertainty contribution with integrated luminosity for the per-production signal strength parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 20-e:
Evolution of the uncertainty contribution with integrated luminosity for the per-production signal strength parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 21:
Evolution of the uncertainty contribution with integrated luminosity for the per-production signal strength parameters in S2 (with YR18 systematic uncertainties).

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Figure 21-a:
Evolution of the uncertainty contribution with integrated luminosity for the per-production signal strength parameters in S2 (with YR18 systematic uncertainties).

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Figure 21-b:
Evolution of the uncertainty contribution with integrated luminosity for the per-production signal strength parameters in S2 (with YR18 systematic uncertainties).

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Figure 21-c:
Evolution of the uncertainty contribution with integrated luminosity for the per-production signal strength parameters in S2 (with YR18 systematic uncertainties).

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Figure 21-d:
Evolution of the uncertainty contribution with integrated luminosity for the per-production signal strength parameters in S2 (with YR18 systematic uncertainties).

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Figure 21-e:
Evolution of the uncertainty contribution with integrated luminosity for the per-production signal strength parameters in S2 (with YR18 systematic uncertainties).

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Figure 22:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 22-a:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 22-b:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 22-c:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 22-d:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 22-e:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 22-f:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 22-g:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 22-h:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 23:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S2 (with YR18 systematic uncertainties).

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Figure 23-a:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S2 (with YR18 systematic uncertainties).

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Figure 23-b:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S2 (with YR18 systematic uncertainties).

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Figure 23-c:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S2 (with YR18 systematic uncertainties).

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Figure 23-d:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S2 (with YR18 systematic uncertainties).

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Figure 23-e:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S2 (with YR18 systematic uncertainties).

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Figure 23-f:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S2 (with YR18 systematic uncertainties).

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Figure 23-g:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S2 (with YR18 systematic uncertainties).

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Figure 23-h:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier parameters in S2 (with YR18 systematic uncertainties).

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Figure 24:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the coupling modifier ratio parameters for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right).

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Figure 24-a:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the coupling modifier ratio parameters for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right).

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Figure 24-b:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the coupling modifier ratio parameters for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right).

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Figure 25:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 25-a:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 25-b:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 25-c:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 25-d:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 25-e:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 25-f:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 25-g:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 25-h:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S1 (with Run 2 systematic uncertainties [30]).

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Figure 26:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S2 (with YR18 systematic uncertainties).

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Figure 26-a:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S2 (with YR18 systematic uncertainties).

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Figure 26-b:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S2 (with YR18 systematic uncertainties).

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Figure 26-c:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S2 (with YR18 systematic uncertainties).

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Figure 26-d:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S2 (with YR18 systematic uncertainties).

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Figure 26-e:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S2 (with YR18 systematic uncertainties).

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Figure 26-f:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S2 (with YR18 systematic uncertainties).

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Figure 26-g:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S2 (with YR18 systematic uncertainties).

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Figure 26-h:
Evolution of the uncertainty contribution with integrated luminosity for the coupling modifier ratio parameters in S2 (with YR18 systematic uncertainties).

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Figure 27:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the branching ratio measurements for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right). The statistical-only component of the uncertainty is also shown.

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Figure 27-a:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the branching ratio measurements for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right). The statistical-only component of the uncertainty is also shown.

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Figure 27-b:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the branching ratio measurements for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right). The statistical-only component of the uncertainty is also shown.

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Figure 28:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the cross section measurements for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right). The statistical-only component of the uncertainty is also shown.

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Figure 28-a:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the cross section measurements for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right). The statistical-only component of the uncertainty is also shown.

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Figure 28-b:
Summary plot showing the total expected $ \pm $1$ \sigma $ uncertainties in S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties) on the cross section measurements for 300 fb$^{-1}$ (left) and 3000 fb$^{-1}$ (right). The statistical-only component of the uncertainty is also shown.
Tables

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Table 1:
The sources of systematic uncertainty for which minimum values are applied in S2.

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Table 2:
The expected $ \pm $1$ \sigma $ uncertainties, expressed as percentages, on the per-decay-mode signal strength parameters. Values are given for both S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties). The total uncertainty is decomposed into four components: statistical (Stat), signal theory (SigTh), background theory (BkgTh) and experimental (Exp).

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Table 3:
The expected $ \pm $1$ \sigma $ uncertainties, expressed as percentages, on the per-production-mode signal strength parameters. Values are given for both S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties). The total uncertainty is decomposed into four components: statistical (Stat), signal theory (SigTh), background theory (BkgTh) and experimental (Exp).

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Table 4:
The expected $ \pm $1$ \sigma $ uncertainties, expressed as percentages, on the coupling modifier parameters, as well as $ {\mathrm {B_{BSM}}} $ and $ {\Gamma _{{\mathrm {H}}}/\Gamma _{{\mathrm {H}}}^{\mathrm {SM}}} $. The values for the $ {\mathrm {B_{BSM}}} $ parameter correspond to the $+1\sigma $ uncertainties only. Values are given for both S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties). The total uncertainty is decomposed into four components: statistical (Stat), signal theory (SigTh), background theory (BkgTh) and experimental (Exp).

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Table 5:
Breakdown of the contributions to the expected uncertainties on the ttH signal-strength $\mu $ at different luminosities for S1 (with Run 2 systematic uncertainties [27]) and S2 (with YR18 systematic uncertainties). The uncertainties are given in percent relative to $\mu =$ 1. Results with 35.9 fb$^{-1}$ are intended for comparison with the projections to higher luminosities and differ in parts from [27] for consistency with the projected results: uncertainties due to the limited number of MC events have been omitted and theory systematic uncertainties have been halved in case of the scenario S2.

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Table 6:
Contributions of particular groups of uncertainties, expressed as percentages, at an integrated luminosity of 3000 fb$^{-1}$ in S1 (with Run 2 systematic uncertainties [24]) and S2 (with YR18 systematic uncertainties). The total uncertainty is decomposed into four components: signal theory, background theory, experimental and statistical. The signal theory uncertainty is further split into inclusive and acceptance parts, and the contributions of the b tagging and JES/JER uncertainties to the experimental component are also given.

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Table 7:
The $ \pm $1$ \sigma $ uncertainties on expected $\mu _{{{\mathrm {t}} {\mathrm {H}}}}$=1 for scenarios S1 (with Run 2 systematic uncertainties [38]) and S2 (with YR18 systematic uncertainties) at all three luminosities, considering also the case when $\mu _{{\mathrm{t} \mathrm{t} {\mathrm {H}}}}$ is fixed at the SM value.

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Table 8:
Relative uncertainties on the projected $ {{p_{\mathrm {T}}} ({\mathrm {H}})} $ spectrum under S1 (with Run 2 systematic uncertainties [41]) at 3000 fb$^{-1}$ .

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Table 9:
Relative uncertainties on the projected $ {{p_{\mathrm {T}}} ({\mathrm {H}})} $ spectrum under S2 (with YR18 systematic uncertainties) at 3000 fb$^{-1}$ .

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Table 10:
Summary of the 95% CL intervals for ${{f_{a 3}} {\cos\left ({\phi _{a 3}} \right)}}$, under the assumption $ {\Gamma _ {\mathrm {H}}} = {\Gamma _ {\mathrm {H}} ^{\mathrm {SM}}} $, and for ${\Gamma _ {\mathrm {H}}}$ under the assumption $ {f_{a i}} =$ 0 for projections at 3000 fb$^{-1}$ . Constraints on ${{f_{a 3}} {\cos\left ({\phi _{a 3}} \right)}}$ are multiplied by $10^{4}$. Values are given for scenarios S1 (with Run 2 systematic uncertainties [47]) and the approximate S2 scenario, as described in the text.

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Table 11:
The expected $ \pm $1$ \sigma $ uncertainties, expressed as percentages, on the coupling modifier ratio parameters. Values are given for both S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties). The total uncertainty is decomposed into four components: statistical (Stat), signal theory (SigTh), background theory (BkgTh) and experimental (Exp).

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Table 12:
The expected $ \pm $1$ \sigma $ uncertainties on the branching ratio measurements, expressed as percentages, and assuming the SM values for the production cross sections. Values are given for both S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties). The total uncertainty is decomposed into four components: statistical (Stat), signal theory (SigTh), background theory (BkgTh) and experimental (Exp). The theory uncertainties on the branching ratios are neglected in these results.

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Table 13:
The expected $ \pm $1$ \sigma $ uncertainties on the cross section measurements, expressed as percentages, and assuming the SM values for the branching fractions. Values are given for both S1 (with Run 2 systematic uncertainties [30]) and S2 (with YR18 systematic uncertainties). The total uncertainty is decomposed into four components: statistical (Stat), signal theory (SigTh), background theory (BkgTh) and experimental (Exp). The theory uncertainties on the production cross sections are neglected in these results.
Summary
The discovery of the Higgs boson opened a new era of precision measurements of the properties of the new particle, aimed to thoroughly test their consistency with the SM predictions. The present measurements of the Higgs boson couplings to fermions, bosons and of the tensor structure of the Higgs boson interaction with electroweak gauge bosons show no significant deviations with respect to the SM expectations. The HL-LHC will provide a unique environment in which to test the Higgs boson properties.

This summary describes the projected sensitivity to 300 and 3000 fb$^{-1}$ of several Higgs boson analyses performed on the 13 TeV data set collected in 2016. The projections are performed under different scenarios considering the systematic uncertainties under Run 2 and HL-LHC conditions. Results have been presented for a combined measurement of coupling modifiers and signal strengths, with additional studies for ttH and VH production with $\text{H}\to\text{bb}$ decay, and for production in association with a single top quark. Projections have also been given for the measurement of the Higgs boson transverse momentum differential cross section, and the expected constraints on anomalous couplings and the total width using on- and off-shell $\text{H}\to\text{ZZ}$ measurements.
Additional Figures

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Additional Figure 1:
Total post-fit uncertainty on $\mu $ as a function of the prior $ {\mathrm{t} \mathrm{t} \text {+}\text {HF}} $ background normalisation uncertainty expected at 35.9 fb$^{-1}$ (left) and at 3000 fb$^{-1}$ (right). The point at 50% prior $ {\mathrm{t} \mathrm{t} \text {+}\text {HF}} $ uncertainty corresponds to the nominal fit model; at the other points, the prior $ {\mathrm{t} \mathrm{t} \text {+}\text {HF}} $ cross-section uncertainty (all four nuisance parameters for ${\mathrm{t} \mathrm{t} \text {+}\mathrm{b} \mathrm{b}}$, ${\mathrm{t} \mathrm{t} \text {+}\mathrm{b}}$, ${\mathrm{t} \mathrm{t} \text {+2}\mathrm{b}}$, and ${\mathrm{t} \mathrm{t} \text {+}\mathrm{c} \mathrm{c}}$) has been reduced as indicated on the x-axis. In each case, all other uncertainties follow the {\text {S2}} scenario.

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Additional Figure 1-a:
Total post-fit uncertainty on $\mu $ as a function of the prior $ {\mathrm{t} \mathrm{t} \text {+}\text {HF}} $ background normalisation uncertainty expected at 35.9 fb$^{-1}$ (left) and at 3000 fb$^{-1}$ (right). The point at 50% prior $ {\mathrm{t} \mathrm{t} \text {+}\text {HF}} $ uncertainty corresponds to the nominal fit model; at the other points, the prior $ {\mathrm{t} \mathrm{t} \text {+}\text {HF}} $ cross-section uncertainty (all four nuisance parameters for ${\mathrm{t} \mathrm{t} \text {+}\mathrm{b} \mathrm{b}}$, ${\mathrm{t} \mathrm{t} \text {+}\mathrm{b}}$, ${\mathrm{t} \mathrm{t} \text {+2}\mathrm{b}}$, and ${\mathrm{t} \mathrm{t} \text {+}\mathrm{c} \mathrm{c}}$) has been reduced as indicated on the x-axis. In each case, all other uncertainties follow the {\text {S2}} scenario.

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Additional Figure 1-b:
Total post-fit uncertainty on $\mu $ as a function of the prior $ {\mathrm{t} \mathrm{t} \text {+}\text {HF}} $ background normalisation uncertainty expected at 35.9 fb$^{-1}$ (left) and at 3000 fb$^{-1}$ (right). The point at 50% prior $ {\mathrm{t} \mathrm{t} \text {+}\text {HF}} $ uncertainty corresponds to the nominal fit model; at the other points, the prior $ {\mathrm{t} \mathrm{t} \text {+}\text {HF}} $ cross-section uncertainty (all four nuisance parameters for ${\mathrm{t} \mathrm{t} \text {+}\mathrm{b} \mathrm{b}}$, ${\mathrm{t} \mathrm{t} \text {+}\mathrm{b}}$, ${\mathrm{t} \mathrm{t} \text {+2}\mathrm{b}}$, and ${\mathrm{t} \mathrm{t} \text {+}\mathrm{c} \mathrm{c}}$) has been reduced as indicated on the x-axis. In each case, all other uncertainties follow the {\text {S2}} scenario.

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Additional Figure 2:
Correlation coefficients ($\rho $) between parameters in the signal strength per-production-and-decay parametrisation for S2 (with YR18 systematic uncertainties) at 3000 fb$^{-1}$.
Additional Tables

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Additional Table 1:
The expected $ \pm $1$ \sigma $ uncertainties, expressed as percentages, on the per-production-and-decay signal strength parameters. Values are given for both S1 and S2. The total uncertainty is decomposed into four components: statistical (Stat), signal theory (SigTh), background theory (BkgTh) and experimental (Exp).
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