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CMS-PAS-HIG-19-014
Search for the Higgs boson decay to Z$ \gamma $ in proton-proton collisions at $\sqrt{s}= $ 13 TeV
Abstract: Results are presented from a search for the Higgs boson decay $\mathrm{H}\to\mathrm{Z}\gamma$, where $\mathrm{Z}\to\ell^+\ell^-$ with $\ell= $ e or $\mu$. This search is performed using a sample of proton-proton collision data at a center-of-mass energy of 13 TeV, recorded by the CMS experiment at the LHC, corresponding to an integrated luminosity of 137 fb$^{-1}$. Events are assigned to mutually exclusive categories, which exploit differences in event topology and kinematics of distinct Higgs production modes to enhance signal sensitivity. To detect a potential signal, fits are performed to the distributions of $m_{\ell^+\ell^-\gamma}$ in each of these categories simultaneously. The observed (expected) upper limit at 95% confidence level on the signal strength $\mu$, defined as the product of the cross section and the branching fraction [$\sigma(\mathrm{pp}\to\mathrm{H})\times\,\mathcal{B}(\mathrm{H}\to\mathrm{Z}\gamma)$], relative to the standard model expectation, is 4.1 (1.8). The best fit value of the signal strength is found to be $\mu=$ 2.4 $\pm$ 0.9, corresponding to $\sigma(\mathrm{pp}\to\mathrm{H})\times\,\mathcal{B}(\mathrm{H}\to\mathrm{Z}\gamma)=$ 0.21 $\pm$ 0.08 pb. The statistical significance of the observed excess of events under the background-only hypothesis is 2.7 standard deviations at $m_\mathrm{H}= $ 125.38 GeV.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Dominant Feynman diagrams contributing to the $\mathrm{H} \to \mathrm{Z} \gamma $ process.

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Figure 2:
$\mathcal {D}_{\mathrm {VBF}}$ (left) and $\mathcal {D}_{\mathrm {kin}}$ (right) for signal, simulated background, and data. The $\mathcal {D}_{\mathrm {VBF}}$ distribution includes only dijet-tagged events, and the $\mathcal {D}_{\mathrm {kin}}$ distribution includes only untagged events. The sum of contributions from all signal production modes is shown by the blue line, while the contribution from only the VBF mode is shown by the red line. The uncertainty band incorporates all statistical and systematic uncertainties on the expected background. The dashed lines indicate the boundaries for the dijet and untagged categories. The gray shaded region in the $\mathcal {D}_{\mathrm {kin}}$ distribution is excluded from the analysis.

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Figure 2-a:
$\mathcal {D}_{\mathrm {VBF}}$ (left) and $\mathcal {D}_{\mathrm {kin}}$ (right) for signal, simulated background, and data. The $\mathcal {D}_{\mathrm {VBF}}$ distribution includes only dijet-tagged events, and the $\mathcal {D}_{\mathrm {kin}}$ distribution includes only untagged events. The sum of contributions from all signal production modes is shown by the blue line, while the contribution from only the VBF mode is shown by the red line. The uncertainty band incorporates all statistical and systematic uncertainties on the expected background. The dashed lines indicate the boundaries for the dijet and untagged categories. The gray shaded region in the $\mathcal {D}_{\mathrm {kin}}$ distribution is excluded from the analysis.

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Figure 2-b:
$\mathcal {D}_{\mathrm {VBF}}$ (left) and $\mathcal {D}_{\mathrm {kin}}$ (right) for signal, simulated background, and data. The $\mathcal {D}_{\mathrm {VBF}}$ distribution includes only dijet-tagged events, and the $\mathcal {D}_{\mathrm {kin}}$ distribution includes only untagged events. The sum of contributions from all signal production modes is shown by the blue line, while the contribution from only the VBF mode is shown by the red line. The uncertainty band incorporates all statistical and systematic uncertainties on the expected background. The dashed lines indicate the boundaries for the dijet and untagged categories. The gray shaded region in the $\mathcal {D}_{\mathrm {kin}}$ distribution is excluded from the analysis.

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Figure 3:
Fits to the $m_{\ell ^+\ell ^-\gamma}$ data distribution in the lepton-tag (upper left), dijet 1 (upper right), dijet 2 (lower left), and dijet 3 (lower right) categories. The green and yellow bands represent the 68 and 95% CL \ uncertainties in the fit. The signal-plus-background fit shown as the solid red line. The dashed red line shows the background component of the fit. Also plotted is the expected SM signal scaled by a factor of 10.

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Figure 3-a:
Fits to the $m_{\ell ^+\ell ^-\gamma}$ data distribution in the lepton-tag (upper left), dijet 1 (upper right), dijet 2 (lower left), and dijet 3 (lower right) categories. The green and yellow bands represent the 68 and 95% CL \ uncertainties in the fit. The signal-plus-background fit shown as the solid red line. The dashed red line shows the background component of the fit. Also plotted is the expected SM signal scaled by a factor of 10.

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Figure 3-b:
Fits to the $m_{\ell ^+\ell ^-\gamma}$ data distribution in the lepton-tag (upper left), dijet 1 (upper right), dijet 2 (lower left), and dijet 3 (lower right) categories. The green and yellow bands represent the 68 and 95% CL \ uncertainties in the fit. The signal-plus-background fit shown as the solid red line. The dashed red line shows the background component of the fit. Also plotted is the expected SM signal scaled by a factor of 10.

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Figure 3-c:
Fits to the $m_{\ell ^+\ell ^-\gamma}$ data distribution in the lepton-tag (upper left), dijet 1 (upper right), dijet 2 (lower left), and dijet 3 (lower right) categories. The green and yellow bands represent the 68 and 95% CL \ uncertainties in the fit. The signal-plus-background fit shown as the solid red line. The dashed red line shows the background component of the fit. Also plotted is the expected SM signal scaled by a factor of 10.

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Figure 3-d:
Fits to the $m_{\ell ^+\ell ^-\gamma}$ data distribution in the lepton-tag (upper left), dijet 1 (upper right), dijet 2 (lower left), and dijet 3 (lower right) categories. The green and yellow bands represent the 68 and 95% CL \ uncertainties in the fit. The signal-plus-background fit shown as the solid red line. The dashed red line shows the background component of the fit. Also plotted is the expected SM signal scaled by a factor of 10.

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Figure 4:
Fits to the $m_{\ell ^+\ell ^-\gamma}$ data distribution in the untagged 1 (upper left), untagged 2 (upper right), untagged 3 (lower left), and untagged 4 (lower right) categories. The green and yellow bands represent the 68 and 95% CL uncertainties in the fit. The signal-plus-background fit shown as the solid red line. The dashed red line shows the background component of the fit. Also plotted is the expected SM signal scaled by a factor of 10.

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Figure 4-a:
Fits to the $m_{\ell ^+\ell ^-\gamma}$ data distribution in the untagged 1 (upper left), untagged 2 (upper right), untagged 3 (lower left), and untagged 4 (lower right) categories. The green and yellow bands represent the 68 and 95% CL uncertainties in the fit. The signal-plus-background fit shown as the solid red line. The dashed red line shows the background component of the fit. Also plotted is the expected SM signal scaled by a factor of 10.

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Figure 4-b:
Fits to the $m_{\ell ^+\ell ^-\gamma}$ data distribution in the untagged 1 (upper left), untagged 2 (upper right), untagged 3 (lower left), and untagged 4 (lower right) categories. The green and yellow bands represent the 68 and 95% CL uncertainties in the fit. The signal-plus-background fit shown as the solid red line. The dashed red line shows the background component of the fit. Also plotted is the expected SM signal scaled by a factor of 10.

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Figure 4-c:
Fits to the $m_{\ell ^+\ell ^-\gamma}$ data distribution in the untagged 1 (upper left), untagged 2 (upper right), untagged 3 (lower left), and untagged 4 (lower right) categories. The green and yellow bands represent the 68 and 95% CL uncertainties in the fit. The signal-plus-background fit shown as the solid red line. The dashed red line shows the background component of the fit. Also plotted is the expected SM signal scaled by a factor of 10.

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Figure 4-d:
Fits to the $m_{\ell ^+\ell ^-\gamma}$ data distribution in the untagged 1 (upper left), untagged 2 (upper right), untagged 3 (lower left), and untagged 4 (lower right) categories. The green and yellow bands represent the 68 and 95% CL uncertainties in the fit. The signal-plus-background fit shown as the solid red line. The dashed red line shows the background component of the fit. Also plotted is the expected SM signal scaled by a factor of 10.

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Figure 5:
Signal-plus-background fit to the $m_{\ell ^+\ell ^-\gamma}$ distribution in data for all categories, weighted by $S/(S+B)$, shown as the solid red line. The dashed red line shows the background component of the fit. Note that each category is fit separately, and the results are combined in the plot for easier visualization. The bottom panel shows the result with the background component subtracted.

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Figure 6:
Upper limit (95% CL) on $\sigma ({\mathrm{p}} {\mathrm{p}} \to \mathrm{H})\times \mathcal {B}(\mathrm{H} \to \mathrm{Z} \gamma)$ relative to the SM prediction, as a function of the assumed value of the Higgs boson mass used in the fit.

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Figure 7:
Observed signal strength ($\mu $) for a SM Higgs boson with $m_{\ell ^+\ell ^-\gamma} = $ 125.38 GeV. The black solid line shows $\mu =$ 1, and the red dashed line shows the best fit value $\mu =$ 2.4 $\pm$ 0.9 of all categories combined.
Tables

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Table 1:
Summary of the category definitions. Dijet categories are defined by regions of $\mathcal {D}_{\mathrm {VBF}}$ and untagged categories are defined by regions of $\mathcal {D}_{\mathrm {kin}}$.

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Table 2:
Yields and estimated significance ($S/\sqrt {B}$) for each category, where $S$ and $B$ are the expected number of signal and background events in the narrowest $m_{\ell ^+\ell ^-\gamma}$ interval containing 95% of the expected signal distribution. Also shown is the $m_{\ell ^{+}\ell ^{-}\gamma}$ resolution, computed using the narrowest interval containing 68% of the expected signal distribution. For rows with two values, the top value corresponds to the electron channel and the bottom value to the muon channel.
Summary
A search is performed for a SM Higgs boson decaying into a lepton pair and a photon with $m_{\ell^+\ell^-} > $ 50\, GeV. The main contribution to this final state is from Higgs boson decays to a $\mathrm{Z}$ boson and a photon ($\mathrm{H}\to\mathrm{Z}\gamma\to\ell^+\ell^-\gamma$, $\ell= $ e or $\mu$). The contributions from final-state radiation from Higgs boson decays into dimuons or ditaus are at the 6% level and below the 1% level respectively and are not included in the measured $\mathrm{H}\to\mathrm{Z}\gamma$ signal. The analysis is performed using a sample of pp collision data at $\sqrt{s}=$13 TeV, corresponding to an integrated luminosity of 137 fb$^{-1}$. The observed (expected) upper limit at 95% CL on the product of the cross section and the branching fraction, $\sigma({\mathrm{p}}{\mathrm{p}}\to\mathrm{H})\times\mathcal{B}(\mathrm{H}\to\mathrm{Z}\gamma)$, relative to the SM expectation, is 4.1 (1.8). This indicates an excess at $m_{\ell^+\ell^-\gamma}=$ 125.38 GeV, corresponding to a 2.7 standard deviations local significance under a background-only hypothesis. The best fit value of the signal strength is $\mu=$ 2.4 $\pm$ 0.9 $=$ 2.4$^{+0.8}_{-0.9}$ (stat) $^{+0.3}_{-0.2}$ (syst), corresponding to $\sigma({\mathrm{p}}{\mathrm{p}}\to\mathrm{H})\times\mathcal{B}(\mathrm{H}\to\mathrm{Z}\gamma)=$ 0.21 $\pm$ 0.08 pb. The measured value is 1.6 standard deviations higher than the SM prediction. In addition, a combined fit with the $\mathrm{H}\to\gamma\gamma$ analysis [12] is performed to measure the ratio $\mathcal{B}(\mathrm{H}\to\mathrm{Z}\gamma)/\mathcal{B}(\mathrm{H}\to\gamma\gamma)=$ 1.54$^{+0.65}_{-0.58}$, which is consistent with the predicted SM ratio $\mathcal{B}(\mathrm{H}\to\mathrm{Z}\gamma)/\mathcal{B}(\mathrm{H}\to\gamma\gamma)=$ 0.69 $\pm$ 0.04 at the 1.5 standard deviations level at $m_\mathrm{H}=$ 125.38 GeV.
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