CMS-PAS-HIG-17-028

CMS-PAS-HIG-17-028
Combined measurement and interpretation of differential Higgs boson production cross sections at $\sqrt{s}=$ 13 TeV
CMS Collaboration
July 2018

Abstract: The differential Higgs boson production cross sections are sensitive probes for new physics beyond the standard model. In particular, new physics may contribute in the gluon-gluon fusion loop, the dominant Higgs boson production mechanism at the LHC, and manifest itself as deviations from the expected standard model distributions. Combined spectra from the $\mathrm{H}\to\gamma\gamma$ , $\mathrm{H}\to \mathrm{ZZ}$ and $\mathrm{H}\to \mathrm{b\bar{b}}$ decay channels are presented, together with limits on the Higgs couplings using 35.9 fb $^{-1}$ of proton-proton collision data recorded with the CMS detector at $\sqrt{s}=$ 13 TeV.
Links: CDS record (PDF) ; CADI line (restricted) ; These preliminary results are superseded in this paper, PLB 792 (2019) 369. The superseded preliminary plots can be found here.

Figures & Tables	Summary	Additional Figures	References	CMS Publications

Figures
png pdf	Figure 1: (left) Scan of the total cross section $\sigma _\text {tot}$ , based on a combination of the total cross sections from $\mathrm{H} \to \gamma \gamma$ (64.0 $\pm$ 9.6 pb) and $\mathrm{H} \to \mathrm{ZZ}$ (58.2 $\pm$ 9.8 pb. (right) Scan of the ratio of branching fractions $R$ based on a combination of $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ , while profiling all other parameters. The filled markers indicate the one standard deviation interval.
png pdf	Figure 1-a: Scan of the total cross section $\sigma _\text {tot}$ , based on a combination of the total cross sections from $\mathrm{H} \to \gamma \gamma$ (64.0 $\pm$ 9.6 pb) and $\mathrm{H} \to \mathrm{ZZ}$ (58.2 $\pm$ 9.8 pb. The filled markers indicate the one standard deviation interval.
png pdf	Figure 1-b: Scan of the ratio of branching fractions $R$ based on a combination of $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ , while profiling all other parameters. The filled markers indicate the one standard deviation interval.
png pdf	Figure 2: Best fit values and uncertainties of the cross sections and signal strengths. (left) ${p_{\mathrm {T}}} ^{\text {H}}$ . (right) ${p_{\mathrm {T}}} ^{\text {H}}$ while fixing non-gluon-fusion contributions to their SM expectation.
png pdf	Figure 2-a: Best fit values and uncertainties of the cross sections and signal strengths: ${p_{\mathrm {T}}} ^{\text {H}}$ .
png pdf	Figure 2-b: Best fit values and uncertainties of the cross sections and signal strengths: ${p_{\mathrm {T}}} ^{\text {H}}$ while fixing non-gluon-fusion contributions to their SM expectation.
png pdf	Figure 3: Best fit values and uncertainties of the cross sections and signal strengths for the $N_\text {jets}$ -spectrum.
png pdf	Figure 4: Expected best fit values and uncertainties of the cross sections and signal strengths for the $\|y_{\text {H}} \|$ -spectrum.
png pdf	Figure 5: Expected best fit values and uncertainties of the cross sections and signal strengths for the ${p_{\mathrm {T}}} ^\text {jet}$ -spectrum.
png pdf	Figure 6: Simultaneous fit results for $\kappa _b$ and $\kappa _c$ . (left) One and two standard deviation contours are shown for the combined ( $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ ) fit to data and for $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ separately, assuming a coupling dependency of the branching fractions. (right) One and two standard deviation contours are shown for the combined ( $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ ) fit to data and for $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ separately, assuming freely floating branching fractions.
png pdf	Figure 6-a: Simultaneous fit results for $\kappa _b$ and $\kappa _c$ . One and two standard deviation contours are shown for the combined ( $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ ) fit to data and for $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ separately, assuming a coupling dependency of the branching fractions.
png pdf	Figure 6-b: Simultaneous fit results for $\kappa _b$ and $\kappa _c$ . One and two standard deviation contours are shown for the combined ( $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ ) fit to data and for $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ separately, assuming freely floating branching fractions.
png pdf	Figure 7: Scans of only one coupling, while profiling the other. The filled markers indicate the one standard deviation interval. The branching fractions were considered dependent on the values of the couplings. (left) Scan of $\kappa _b$ while profiling $\kappa _c$ . (right) Scan of $\kappa _c$ while profiling $\kappa _b$ .
png pdf	Figure 7-a: Scan of $\kappa _b$ while profiling $\kappa _c$ . The filled markers indicate the one standard deviation interval. The branching fractions were considered dependent on the values of the couplings.
png pdf	Figure 7-b: Scan of $\kappa _c$ while profiling $\kappa _b$ . The filled markers indicate the one standard deviation interval. The branching fractions were considered dependent on the values of the couplings.
png pdf	Figure 8: Scans of only one coupling, while profiling the other. The filled markers indicate the one standard deviation interval. The branching fractions were freely floated in the fit. (left) Scan of $\kappa _b$ while profiling $\kappa _c$ . (right) Scan of $\kappa _c$ while profiling $\kappa _b$ .
png pdf	Figure 8-a: Scan of $\kappa _b$ while profiling $\kappa _c$ . The filled markers indicate the one standard deviation interval. The branching fractions were freely floated in the fit.
png pdf	Figure 8-b: Scan of $\kappa _c$ while profiling $\kappa _b$ . The filled markers indicate the one standard deviation interval. The branching fractions were freely floated in the fit.
png pdf	Figure 9: Simultaneous fit results for $\kappa _t$ and $c_g$ . (left) One and two standard deviation contours are shown for the combined ( $\mathrm{H} \to \gamma \gamma$ , $\mathrm{H} \to \mathrm{ZZ}$ and $\mathrm{H} \to \mathrm{ b \bar{b} }$ ) fit to data and for $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ separately, assuming a coupling dependency of the branching fractions. (right) One and two standard deviation contours are shown for the combined ( $\mathrm{H} \to \gamma \gamma$ , $\mathrm{H} \to \mathrm{ZZ}$ and $\mathrm{H} \to \mathrm{ b \bar{b} }$ ) fit to data and for $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ separately, assuming freely floating branching fractions.
png pdf	Figure 9-a: One and two standard deviation contours are shown for the combined ( $\mathrm{H} \to \gamma \gamma$ , $\mathrm{H} \to \mathrm{ZZ}$ and $\mathrm{H} \to \mathrm{ b \bar{b} }$ ) fit to data and for $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ separately, assuming a coupling dependency of the branching fractions.
png pdf	Figure 9-b: One and two standard deviation contours are shown for the combined ( $\mathrm{H} \to \gamma \gamma$ , $\mathrm{H} \to \mathrm{ZZ}$ and $\mathrm{H} \to \mathrm{ b \bar{b} }$ ) fit to data and for $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ separately, assuming freely floating branching fractions.
png pdf	Figure 10: Simultaneous combined fit results for $\kappa _t$ and $\kappa _b$ . (left) One and two standard deviation contours are shown for the combined ( $\mathrm{H} \to \gamma \gamma$ , $\mathrm{H} \to \mathrm{ZZ}$ and $\mathrm{H} \to \mathrm{ b \bar{b} }$ ) fit to data and for $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ separately, assuming a coupling dependency of the branching fractions. (right) One and two standard deviation contours are shown for the combined ( $\mathrm{H} \to \gamma \gamma$ , $\mathrm{H} \to \mathrm{ZZ}$ and $\mathrm{H} \to \mathrm{ b \bar{b} }$ ) fit to data and for $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ separately, where the branching fractions were freely floated in the fit.
png pdf	Figure 10-a: One and two standard deviation contours are shown for the combined ( $\mathrm{H} \to \gamma \gamma$ , $\mathrm{H} \to \mathrm{ZZ}$ and $\mathrm{H} \to \mathrm{ b \bar{b} }$ ) fit to data and for $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ separately, assuming a coupling dependency of the branching fractions.
png pdf	Figure 10-b: One and two standard deviation contours are shown for the combined ( $\mathrm{H} \to \gamma \gamma$ , $\mathrm{H} \to \mathrm{ZZ}$ and $\mathrm{H} \to \mathrm{ b \bar{b} }$ ) fit to data and for $\mathrm{H} \to \gamma \gamma$ and $\mathrm{H} \to \mathrm{ZZ}$ separately, where the branching fractions were freely floated in the fit.
png pdf	Figure 11: (left) Bin-to-bin correlation matrix of the ${p_{\mathrm {T}}} ^{\text {H}}$ -spectrum. (right) Bin-to-bin correlation matrix of the ${p_{\mathrm {T}}} ^{\text {H}}$ -spectrum, while keeping the non-gluon-fusion contributions (xH) fixed to SM expectation.
png pdf	Figure 11-a: Bin-to-bin correlation matrix of the ${p_{\mathrm {T}}} ^{\text {H}}$ -spectrum.
png pdf	Figure 11-b: Bin-to-bin correlation matrix of the ${p_{\mathrm {T}}} ^{\text {H}}$ -spectrum, while keeping the non-gluon-fusion contributions (xH) fixed to SM expectation.
png pdf	Figure 12: Bin-to-bin correlation matrix of the $N_\text {jets}$ -spectrum.
png pdf	Figure 13: Bin-to-bin correlation matrix of the $\|y_{\text {H}} \|$ -spectrum.
png pdf	Figure 14: Bin-to-bin correlation matrix of the ${p_{\mathrm {T}}} ^\text {jet}$ -spectrum.

Tables
png pdf	Table 1: ${p_{\mathrm {T}}} ^{\text {H}}$ bin boundaries for the $\mathrm{H} \to \gamma \gamma$ , $\mathrm{H} \to \mathrm{ZZ}$ and $\mathrm{H} \to \mathrm{ b \bar{b} }$ decay channels.
png pdf	Table 2: $N_\text {jets}$ bins for the $\mathrm{H} \to \gamma \gamma$ and the $\mathrm{H} \to \mathrm{ZZ}$ decay channels.
png pdf	Table 3: $\|y_{\text {H}} \|$ bins for the $\mathrm{H} \to \gamma \gamma$ and the $\mathrm{H} \to \mathrm{ZZ}$ decay channels.
png pdf	Table 4: ${p_{\mathrm {T}}} ^\text {jet}$ bin boundaries for the $\mathrm{H} \to \gamma \gamma$ and the $\mathrm{H} \to \mathrm{ZZ}$ decay channels.
png pdf	Table 5: Theoretical uncertainties for the $\kappa _b$ / $\kappa _c$ spectra.
png pdf	Table 6: Theoretical uncertainties for the $\kappa _t$ / $c_g$ and $\kappa _t$ / $\kappa _b$ spectra.

Summary

A combination of differential cross sections for the differential observables

${p_{\mathrm{T}}}^{\text{H}}$ ,

$N_\text{jets}$ ,

$|y_\text{H} |$ and

${p_{\mathrm{T}}}^{\text{jet}}$ has been presented, using 35.9 fb

$^{-1}$ of proton-proton collision data obtained at

$\sqrt{s}=$ 13 TeV with the CMS detector. The spectra obtained are based on data from the

$\mathrm{H} \to\gamma\gamma$ ,

$\mathrm{H} \to \mathrm{ZZ}$ and

$\mathrm{H} \to \mathrm{b\bar{b}}$ decay channels. The overall uncertainty is decreased by 15% relative to that for

$\mathrm{H} \to\gamma\gamma$ alone by combining the

${p_{\mathrm{T}}}^{\text{H}}$ spectra. The decrease is larger in the lower

${p_{\mathrm{T}}}^{\text{H}}$ region than in the high

${p_{\mathrm{T}}}^{\text{H}}$ tails. No significant deviations from the SM are observed in any differential distribution.

The spectra obtained were interpreted in the Higgs coupling modifier framework, in which simultaneous variations of

$\kappa_b$ and

$\kappa_c$ ,

$\kappa_t$ and

$\kappa_g$ and

$\kappa_t$ and

$\kappa_b$ were fitted to the combination of the

${p_{\mathrm{T}}}^{\text{H}}$ -spectrum. The limits obtained on individual couplings were

$-0.9 < \kappa_b < 0.9$ and

$-4.3 < \kappa_c < 4.3$ , assuming the branching fractions scale with the coupling modifiers. For the charm coupling

$\kappa_c$ in particular, this measurement is competitive with those obtained from direct searches.

Additional Figures
png pdf	Additional Figure 1: Simultaneous expected fit results for $\kappa _b$ and $\kappa _c$ . One and two standard deviation contours are shown for the combined ( $\mathrm{H} \rightarrow \gamma \gamma$ and $\mathrm{H} \rightarrow \mathrm{ZZ}$ ) expectation, fixing the branching fractions to the values expected from the standard model.
png pdf	Additional Figure 2: Expected fit of $\kappa _b$ while profiling $\kappa _c$ . The filled markers indicate the one standard deviation interval. The branching fractions were fixed to the values expected from the standard model.
png pdf	Additional Figure 3: Expected fit of $\kappa _c$ while profiling $\kappa _b$ . The filled markers indicate the one standard deviation interval. The branching fractions were fixed to the values expected from the standard model.

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