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CMS-EXO-17-005 ; CERN-EP-2017-301
Search for Z$\gamma$ resonances using leptonic and hadronic final states in proton-proton collisions at $\sqrt{s}= $ 13 TeV
JHEP 09 (2018) 148
Abstract: A search is presented for resonances decaying to a Z boson and a photon. The analysis is based on data from proton-proton collisions at a center-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 35.9 fb$^{-1}$, and collected with the CMS detector at the LHC in 2016. Two decay modes of the Z boson are investigated. In the leptonic channels, the Z boson candidates are reconstructed using electron or muon pairs. In the hadronic channels, they are identified using a large-radius jet, containing either light-quark or b quark decay products of the Z boson, via jet substructure and advanced b quark tagging techniques. The results from these channels are combined and interpreted in terms of upper limits on the product of the production cross section and the branching fraction to Z$\gamma$ for narrow and broad spin-0 resonances with masses between 0.35 and 4.0 TeV, providing thereby the most stringent limits on such resonances.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Observed $ {m_{{\mathrm {Z}} \gamma}} $ invariant mass spectra in the $ {{\mathrm {e}} {\mathrm {e}}\gamma} $ (left) and $ {{{\mu}} {{\mu}}\gamma} $ (right) channels. The best fits to the background-only hypotheses are represented by the red lines, with their 68% CL uncertainty bands given by the gray shadings. Several narrow and broad signal benchmarks with arbitrary normalization are shown on top of the background prediction with the dashed lines. The lower panels show the difference between the data and the fits, divided by the uncertainty, which includes the statistical uncertainties in the data and the fit. For bins with a small number of entries, the error bars correspond to the Garwood confidence intervals [77].

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Figure 1-a:
Observed $ {m_{{\mathrm {Z}} \gamma}} $ invariant mass spectrum in the $ {{\mathrm {e}} {\mathrm {e}}\gamma} $ channel. The best fits to the background-only hypotheses are represented by the red lines, with their 68% CL uncertainty bands given by the gray shadings. Several narrow and broad signal benchmarks with arbitrary normalization are shown on top of the background prediction with the dashed lines. The lower panel shows the difference between the data and the fits, divided by the uncertainty, which includes the statistical uncertainties in the data and the fit. For bins with a small number of entries, the error bars correspond to the Garwood confidence intervals [77].

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Figure 1-b:
Observed $ {m_{{\mathrm {Z}} \gamma}} $ invariant mass spectrum in the $ {{{\mu}} {{\mu}}\gamma} $ channel. The best fits to the background-only hypotheses are represented by the red lines, with their 68% CL uncertainty bands given by the gray shadings. Several narrow and broad signal benchmarks with arbitrary normalization are shown on top of the background prediction with the dashed lines. The lower panel shows the difference between the data and the fits, divided by the uncertainty, which includes the statistical uncertainties in the data and the fit. For bins with a small number of entries, the error bars correspond to the Garwood confidence intervals [77].

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Figure 2:
Observed $ {m_{{\mathrm {Z}} \gamma}} $ invariant mass spectra in the ${\mathrm {J}\gamma}$ channel in the b-tagged (left), $\tau _{21}$-tagged (center), and untagged (right) categories. The best fits to the background-only hypotheses are represented by the red lines, with their 68% CL uncertainty bands given by the gray shadings. Several narrow and broad signal benchmarks with arbitrary normalization are shown on top of the background prediction with the dashed lines. The lower panels show the difference between the data and the fits, divided by the uncertainty, which includes the statistical uncertainties in the data and the fit. For bins with a small number of entries, the error bars correspond to the Garwood confidence intervals [77].

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Figure 2-a:
Observed $ {m_{{\mathrm {Z}} \gamma}} $ invariant mass spectrum in the ${\mathrm {J}\gamma}$ channel in the b-tagged category. The best fits to the background-only hypotheses are represented by the red lines, with their 68% CL uncertainty bands given by the gray shadings. Several narrow and broad signal benchmarks with arbitrary normalization are shown on top of the background prediction with the dashed lines. The lower panel shows the difference between the data and the fits, divided by the uncertainty, which includes the statistical uncertainties in the data and the fit. For bins with a small number of entries, the error bars correspond to the Garwood confidence intervals [77].

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Figure 2-b:
Observed $ {m_{{\mathrm {Z}} \gamma}} $ invariant mass spectrum in the ${\mathrm {J}\gamma}$ channel in the $\tau _{21}$-tagged category. The best fits to the background-only hypotheses are represented by the red lines, with their 68% CL uncertainty bands given by the gray shadings. Several narrow and broad signal benchmarks with arbitrary normalization are shown on top of the background prediction with the dashed lines. The lower panel shows the difference between the data and the fits, divided by the uncertainty, which includes the statistical uncertainties in the data and the fit. For bins with a small number of entries, the error bars correspond to the Garwood confidence intervals [77].

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Figure 2-c:
Observed $ {m_{{\mathrm {Z}} \gamma}} $ invariant mass spectrum in the ${\mathrm {J}\gamma}$ channel in the untagged category. The best fits to the background-only hypotheses are represented by the red lines, with their 68% CL uncertainty bands given by the gray shadings. Several narrow and broad signal benchmarks with arbitrary normalization are shown on top of the background prediction with the dashed lines. The lower panel shows the difference between the data and the fits, divided by the uncertainty, which includes the statistical uncertainties in the data and the fit. For bins with a small number of entries, the error bars correspond to the Garwood confidence intervals [77].

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Figure 3:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})\,\mathcal {B}({\mathrm {Z}} \to \ell \ell {\gamma})$, as a function of signal mass $m_\mathrm {X}$ for the ${{\mathrm {e}} {\mathrm {e}}\gamma}$ (left column) and ${{{\mu}} {{\mu}}\gamma}$ (right column) channels, and for narrow (upper row) and broad (lower row) spin-0 resonances. The green and yellow shaded bands correspond to respective 68 and 95% CL ranges in the expected limits for the background-only hypothesis.

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Figure 3-a:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})\,\mathcal {B}({\mathrm {Z}} \to \ell \ell {\gamma})$, as a function of signal mass $m_\mathrm {X}$ for the ${{\mathrm {e}} {\mathrm {e}}\gamma}$ channel, and for a narrow spin-0 resonance. The green and yellow shaded bands correspond to respective 68 and 95% CL ranges in the expected limits for the background-only hypothesis.

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Figure 3-b:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})\,\mathcal {B}({\mathrm {Z}} \to \ell \ell {\gamma})$, as a function of signal mass $m_\mathrm {X}$ for the ${{{\mu}} {{\mu}}\gamma}$ channel, and for a narrow spin-0 resonance. The green and yellow shaded bands correspond to respective 68 and 95% CL ranges in the expected limits for the background-only hypothesis.

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Figure 3-c:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})\,\mathcal {B}({\mathrm {Z}} \to \ell \ell {\gamma})$, as a function of signal mass $m_\mathrm {X}$ for the ${{\mathrm {e}} {\mathrm {e}}\gamma}$ channel, and for a broad spin-0 resonance. The green and yellow shaded bands correspond to respective 68 and 95% CL ranges in the expected limits for the background-only hypothesis.

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Figure 3-d:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})\,\mathcal {B}({\mathrm {Z}} \to \ell \ell {\gamma})$, as a function of signal mass $m_\mathrm {X}$ for the ${{{\mu}} {{\mu}}\gamma}$ channel, and for a broad spin-0 resonance. The green and yellow shaded bands correspond to respective 68 and 95% CL ranges in the expected limits for the background-only hypothesis.

png pdf
Figure 4:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})$ as a function of signal mass $m_\mathrm {X}$, together with the 68% (green) and 95% (yellow) CL ranges of the expected limit for the background-only hypothesis, for the combination of the ${{\mathrm {e}} {\mathrm {e}}\gamma}$ and ${{{\mu}} {{\mu}}\gamma}$ channels for (left) narrow and (right) broad spin-0 resonances.

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Figure 4-a:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})$ as a function of signal mass $m_\mathrm {X}$, together with the 68% (green) and 95% (yellow) CL ranges of the expected limit for the background-only hypothesis, for the combination of the ${{\mathrm {e}} {\mathrm {e}}\gamma}$ and ${{{\mu}} {{\mu}}\gamma}$ channels for narrow spin-0 resonances.

png pdf
Figure 4-b:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})$ as a function of signal mass $m_\mathrm {X}$, together with the 68% (green) and 95% (yellow) CL ranges of the expected limit for the background-only hypothesis, for the combination of the ${{\mathrm {e}} {\mathrm {e}}\gamma}$ and ${{{\mu}} {{\mu}}\gamma}$ channels for broad spin-0 resonances.

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Figure 5:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})$, as a function of signal mass $m_\mathrm {X}$, for the b-tagged (left column), $\tau _{21}$-tagged (middle column), and untagged (right column) categories, and for narrow (upper row) and broad (lower row) spin-0 resonances. The colored bands correspond to the 68% (green) and 95% (yellow) CL ranges of the expected limit for the background-only hypothesis.

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Figure 5-a:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})$, as a function of signal mass $m_\mathrm {X}$, for the b-tagged category, and for narrow spin-0 resonances. The colored bands correspond to the 68% (green) and 95% (yellow) CL ranges of the expected limit for the background-only hypothesis.

png pdf
Figure 5-b:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})$, as a function of signal mass $m_\mathrm {X}$, for the $\tau _{21}$-tagged category, and for narrow spin-0 resonances. The colored bands correspond to the 68% (green) and 95% (yellow) CL ranges of the expected limit for the background-only hypothesis.

png pdf
Figure 5-c:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})$, as a function of signal mass $m_\mathrm {X}$, for the untagged category, and for narrow spin-0 resonances. The colored bands correspond to the 68% (green) and 95% (yellow) CL ranges of the expected limit for the background-only hypothesis.

png pdf
Figure 5-d:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})$, as a function of signal mass $m_\mathrm {X}$, for the b-tagged category, and for broad spin-0 resonances. The colored bands correspond to the 68% (green) and 95% (yellow) CL ranges of the expected limit for the background-only hypothesis.

png pdf
Figure 5-e:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})$, as a function of signal mass $m_\mathrm {X}$, for the $\tau _{21}$-tagged category, and for broad spin-0 resonances. The colored bands correspond to the 68% (green) and 95% (yellow) CL ranges of the expected limit for the background-only hypothesis.

png pdf
Figure 5-f:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})$, as a function of signal mass $m_\mathrm {X}$, for the untagged category, and for broad spin-0 resonances. The colored bands correspond to the 68% (green) and 95% (yellow) CL ranges of the expected limit for the background-only hypothesis.

png pdf
Figure 6:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})$ as a function of signal mass $m_\mathrm {X}$, together with the 68% (green) and 95% (yellow) CL ranges of the expected limit for the background-only hypothesis, for the combination of the b-tagged, $\tau _{21}$-tagged, and untagged categories for (left) narrow and (right) broad spin-0 resonances.

png pdf
Figure 6-a:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})$ as a function of signal mass $m_\mathrm {X}$, together with the 68% (green) and 95% (yellow) CL ranges of the expected limit for the background-only hypothesis, for the combination of the b-tagged, $\tau _{21}$-tagged, and untagged categories for narrow spin-0 resonances.

png pdf
Figure 6-b:
Observed (solid) and expected (dashed) 95% CL upper limits on $\sigma (\mathrm {X}\to {\mathrm {Z}} {\gamma})$ as a function of signal mass $m_\mathrm {X}$, together with the 68% (green) and 95% (yellow) CL ranges of the expected limit for the background-only hypothesis, for the combination of the b-tagged, $\tau _{21}$-tagged, and untagged categories for broad spin-0 resonances.

png pdf
Figure 7:
Observed and expected limits on the product of the production cross section and branching fraction $\mathcal {B}(\mathrm {X} \to {\mathrm {Z}} {\gamma})$, as a function of signal mass $m_\mathrm {X}$, for (left) narrow and (right) broad spin-0 resonances, obtained from the combination of the leptonic and hadronic decay channels.

png pdf
Figure 7-a:
Observed and expected limits on the product of the production cross section and branching fraction $\mathcal {B}(\mathrm {X} \to {\mathrm {Z}} {\gamma})$, as a function of signal mass $m_\mathrm {X}$, for narrow spin-0 resonances, obtained from the combination of the leptonic and hadronic decay channels.

png pdf
Figure 7-b:
Observed and expected limits on the product of the production cross section and branching fraction $\mathcal {B}(\mathrm {X} \to {\mathrm {Z}} {\gamma})$, as a function of signal mass $m_\mathrm {X}$, for broad spin-0 resonances, obtained from the combination of the leptonic and hadronic decay channels.
Tables

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Table 1:
Summary of the systematic uncertainties in the signal yield (upper part of the table) or shape (lower part of the table). A dash indicates that the uncertainty does not apply.
Summary
A search is presented for resonances decaying to a Z boson and a photon. The analysis is based on data from proton-proton collisions at a center-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 35.9 fb$^{-1}$, collected with the CMS detector at the LHC in 2016. Two decay modes of the Z boson are investigated. In the leptonic channels, the Z boson candidates are reconstructed using electron or muon pairs. In the hadronic channels, they are identified using a large-radius jet, containing either light-quark or b quark decay products of the Z boson, via jet substructure and advanced b tagging techniques. The results from these channels are combined and interpreted in terms of upper limits on the product of the production cross section and the branching fraction to Z$\gamma$ for narrow (broad) spin-0 resonances with masses between 0.35 and 4.0 TeV, ranging from 50 (100) to 0.3 (1.5) fb. These are the most stringent limits on such resonances to date.
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