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CMS-B2G-16-029 ; CERN-EP-2018-015
Search for a heavy resonance decaying to a pair of vector bosons in the lepton plus merged jet final state at $\sqrt{s} = $ 13 TeV
JHEP 05 (2018) 088
Abstract: A search for a new heavy particle decaying to a pair of vector bosons (WW or WZ) is presented using data from the CMS detector corresponding to an integrated luminosity of 35.9 fb$^{-1}$ collected in proton-proton collisions at a centre-of-mass energy of 13 TeV in 2016. One of the bosons is required to be a W boson decaying to $\mathrm{e}\nu$ or $\mu\nu$, while the other boson is required to be reconstructed as a single massive jet with substructure compatible with that of a highly-energetic quark pair from a W or Z boson decay. The search is performed in the resonance mass range between 1.0 and 4.5 TeV. The largest deviation from the background-only hypothesis is observed for a mass near 1.4 TeV and corresponds to a local significance of 2.5 standard deviations. The result is interpreted as an upper bound on the resonance production cross section. Comparing the excluded cross section values and the expectations from theoretical calculations in the bulk graviton and heavy vector triplet models, spin-2 WW resonances with mass smaller than 1.07 TeV and spin-1 WZ resonances lighter than 3.05 TeV, respectively, are excluded at 95% confidence level.
Figures Summary Additional Figures References CMS Publications
Figures

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Figure 1:
A Feynman diagram for the production of a generic resonance X decaying to the $ {\mathrm {W}} {\mathrm {W}}/ {\mathrm {W}} {\mathrm {Z}} \to \ell \nu {\mathrm {q}} {\mathrm {\overline {q}}}^{(')}$ final state.

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Figure 2:
Jet soft-drop mass (left) and $N$-subjettiness ratio $ {\tau _{21}}$ (right) for data and simulated events in the top quark enriched region in the electron channel. The contribution labelled as "Top quark" includes ${{\mathrm {t}\overline {\mathrm {t}}}} $ and single top processes, and the "V+jets" contribution is dominated by W+jets events with a small contribution from Z+jets events. The vertical bars correspond to the statistical uncertainties of the data.

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Figure 2-a:
Jet soft-drop mass for data and simulated events in the top quark enriched region in the electron channel. The contribution labelled as "Top quark" includes ${{\mathrm {t}\overline {\mathrm {t}}}} $ and single top processes, and the "V+jets" contribution is dominated by W+jets events with a small contribution from Z+jets events. The vertical bars correspond to the statistical uncertainties of the data.

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Figure 2-b:
$N$-subjettiness ratio $ {\tau _{21}}$ for data and simulated events in the top quark enriched region in the electron channel. The contribution labelled as "Top quark" includes ${{\mathrm {t}\overline {\mathrm {t}}}} $ and single top processes, and the "V+jets" contribution is dominated by W+jets events with a small contribution from Z+jets events. The vertical bars correspond to the statistical uncertainties of the data.

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Figure 3:
Comparison between the fit result and data distributions of $ {m_{\text {jet}}}$ (upper) and $ {m_{{\mathrm {W}} \mathrm {V}}} $ (lower) in the muon HP (left) and electron HP (right) category. The background shape uncertainty is shown as a shaded band, and the statistical uncertainties of the data are shown as vertical bars. No events are observed with $ {m_{{\mathrm {W}} \mathrm {V}}} > $ 4.5 TeV. Example signal distributions are overlaid, using an arbitrary normalization that is different in the upper and lower plots.

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Figure 3-a:
Comparison between the fit result and data distributions of $ {m_{\text {jet}}}$ in the muon HP category. The background shape uncertainty is shown as a shaded band, and the statistical uncertainties of the data are shown as vertical bars. No events are observed with $ {m_{{\mathrm {W}} \mathrm {V}}} > $ 4.5 TeV. Example signal distributions are overlaid, using an arbitrary normalization that is different in the upper and lower plots.

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Figure 3-b:
Comparison between the fit result and data distributions of $ {m_{\text {jet}}}$ in the electron HP category. The background shape uncertainty is shown as a shaded band, and the statistical uncertainties of the data are shown as vertical bars. No events are observed with $ {m_{{\mathrm {W}} \mathrm {V}}} > $ 4.5 TeV. Example signal distributions are overlaid, using an arbitrary normalization that is different in the upper and lower plots.

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Figure 3-c:
Comparison between the fit result and data distributions of $ {m_{{\mathrm {W}} \mathrm {V}}} $ in the muon HP category. The background shape uncertainty is shown as a shaded band, and the statistical uncertainties of the data are shown as vertical bars. No events are observed with $ {m_{{\mathrm {W}} \mathrm {V}}} > $ 4.5 TeV. Example signal distributions are overlaid, using an arbitrary normalization that is different in the upper and lower plots.

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Figure 3-d:
Comparison between the fit result and data distributions of $ {m_{{\mathrm {W}} \mathrm {V}}} $ in the electron HP category. The background shape uncertainty is shown as a shaded band, and the statistical uncertainties of the data are shown as vertical bars. No events are observed with $ {m_{{\mathrm {W}} \mathrm {V}}} > $ 4.5 TeV. Example signal distributions are overlaid, using an arbitrary normalization that is different in the upper and lower plots.

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Figure 4:
Comparison between the fit result and data distributions of $ {m_{\text {jet}}}$ (upper) and $ {m_{{\mathrm {W}} \mathrm {V}}} $ (lower) in the muon LP (left) and electron LP (right) category. The background shape uncertainty is shown as a shaded band, and the statistical uncertainties of the data are shown as vertical bars. No events are observed with $ {m_{{\mathrm {W}} \mathrm {V}}} > $ 4.5 TeV. Example signal distributions are overlaid, using an arbitrary normalization that is different in the upper and lower plots.

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Figure 4-a:
Comparison between the fit result and data distributions of $ {m_{\text {jet}}}$ in the muon LP category. The background shape uncertainty is shown as a shaded band, and the statistical uncertainties of the data are shown as vertical bars. No events are observed with $ {m_{{\mathrm {W}} \mathrm {V}}} > $ 4.5 TeV. Example signal distributions are overlaid, using an arbitrary normalization that is different in the upper and lower plots.

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Figure 4-b:
Comparison between the fit result and data distributions of $ {m_{\text {jet}}}$ in the electron LP category. The background shape uncertainty is shown as a shaded band, and the statistical uncertainties of the data are shown as vertical bars. No events are observed with $ {m_{{\mathrm {W}} \mathrm {V}}} > $ 4.5 TeV. Example signal distributions are overlaid, using an arbitrary normalization that is different in the upper and lower plots.

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Figure 4-c:
Comparison between the fit result and data distributions of $ {m_{{\mathrm {W}} \mathrm {V}}} $ in the muon LP category. The background shape uncertainty is shown as a shaded band, and the statistical uncertainties of the data are shown as vertical bars. No events are observed with $ {m_{{\mathrm {W}} \mathrm {V}}} > $ 4.5 TeV. Example signal distributions are overlaid, using an arbitrary normalization that is different in the upper and lower plots.

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Figure 4-d:
Comparison between the fit result and data distributions of $ {m_{{\mathrm {W}} \mathrm {V}}} $ in the electron LP category. The background shape uncertainty is shown as a shaded band, and the statistical uncertainties of the data are shown as vertical bars. No events are observed with $ {m_{{\mathrm {W}} \mathrm {V}}} > $ 4.5 TeV. Example signal distributions are overlaid, using an arbitrary normalization that is different in the upper and lower plots.

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Figure 5:
S/(S+B) event-weighted distributions of the resonance mass for the ${{{\mathrm {G}} _{\text {bulk}}}} \to {\mathrm {W}} {\mathrm {W}}$ signal (left) and $ {\mathrm {W}'} \to {\mathrm {W}} {\mathrm {Z}} $ signal (right) for the 2D fit (upper) and the $\alpha $ method (lower). The lower panels show the differences between the weighted data and the weighted fit results. The vertical bars correspond to the statistical uncertainties of the data.

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Figure 5-a:
S/(S+B) event-weighted distributions of the resonance mass for the ${{{\mathrm {G}} _{\text {bulk}}}} \to {\mathrm {W}} {\mathrm {W}}$ signal for the 2D fit. The lower panel shows the differences between the weighted data and the weighted fit results. The vertical bars correspond to the statistical uncertainties of the data.

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Figure 5-b:
S/(S+B) event-weighted distributions of the resonance mass for the $ {\mathrm {W}'} \to {\mathrm {W}} {\mathrm {Z}} $ signal for the 2D fit. The lower panel shows the differences between the weighted data and the weighted fit results. The vertical bars correspond to the statistical uncertainties of the data.

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Figure 5-c:
S/(S+B) event-weighted distributions of the resonance mass for the ${{{\mathrm {G}} _{\text {bulk}}}} \to {\mathrm {W}} {\mathrm {W}}$ signal for $\alpha $ method. The lower panel shows the differences between the weighted data and the weighted fit results. The vertical bars correspond to the statistical uncertainties of the data.

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Figure 5-d:
S/(S+B) event-weighted distributions of the resonance mass for the $ {\mathrm {W}'} \to {\mathrm {W}} {\mathrm {Z}} $ signal for the $\alpha $ method. The lower panel shows the differences between the weighted data and the weighted fit results. The vertical bars correspond to the statistical uncertainties of the data.

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Figure 6:
Exclusion limits on the product of the production cross section and the branching fraction for a new spin-2 resonance decaying to WW (left) and for a new spin-1 resonance decaying to WZ (right), as a function of the resonance mass hypothesis. Signal cross section uncertainties are shown as red cross-hatched bands.

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Figure 6-a:
Exclusion limits on the product of the production cross section and the branching fraction for a new spin-2 resonance decaying to WW, as a function of the resonance mass hypothesis. Signal cross section uncertainties are shown as a red cross-hatched band.

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Figure 6-b:
Exclusion limits on the product of the production cross section and the branching fraction for a new spin-1 resonance decaying to WZ, as a function of the resonance mass hypothesis. Signal cross section uncertainties are shown as a red cross-hatched band.
Summary
A search for a new heavy resonance decaying to a pair of vector bosons is performed in events with one muon or electron and a massive jet. Using the $N$-subjettiness ratio ${\tau_{21}}$, massive jets are tagged as highly energetic vector bosons (V = W, Z) decaying to quark pairs. The soft-drop mass is used as an estimate of the V-jet mass. The lepton momentum and missing transverse momentum are used to reconstruct the momentum of the $\mathrm{W} \to \ell \nu$ boson candidate, constraining the invariant mass of the $\ell \nu$ pair to the W boson mass value. A novel signal extraction technique is introduced based on a simultaneous fit of the V-jet mass and the diboson mass, and improves the search sensitivity compared to the method employed in previous versions of this analysis. No significant evidence of a new signal is found. The results are interpreted in terms of upper limits on the production cross section of new resonances decaying to WW and WZ final states. The observed limits for a WW resonance range from 29 fb at 1.3 TeV to 0.32 fb at 4.4 TeV, while for a WZ resonance they range from 84 fb at 1.05 TeV to 0.64 fb at 4.4 TeV. Comparing the excluded cross section values to the expectations from theoretical calculations, spin-2 bulk graviton resonances decaying to WW with mass smaller than 1.07 TeV and W' $ \to $ WZ resonances lighter than 3.05 TeV are excluded at 95% CL.
Additional Figures

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Additional Figure 1:
Signal selection efficiency times acceptance as a function of resonance mass for a spin-2 bulk graviton decaying to WW and a spin-1 W' decaying to WZ.

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Additional Figure 2:
Local $p$-value as a function of resonance mass for a spin-2 bulk graviton decaying to WW and a spin-1 W' decaying to WZ.

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Additional Figure 3:
Local $p$-value as a function of resonance mass for the different analysis categories and their combination for a spin-2 bulk graviton decaying to WW.

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Additional Figure 4:
Local $p$-value as a function of resonance mass for the different analysis categories and their combination for a spin-1 W' decaying to WZ.

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Additional Figure 5:
$m_{\text {jet}}$-projection of the W+jets template and reconstructed simulation in the electron channel, high-purity category, for different $m_{\mathrm {WV}}$ ranges.

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Additional Figure 6:
$m_{\text {jet}}$-projection of the W+jets template and reconstructed simulation in the muon channel, high-purity category, for different $m_{\mathrm {WV}}$ ranges.

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Additional Figure 7:
$m_{\text {jet}}$-projection of the W+jets template and reconstructed simulation in the electron channel, low-purity category, for different $m_{\mathrm {WV}}$ ranges.

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Additional Figure 8:
$m_{\text {jet}}$-projection of the W+jets template and reconstructed simulation in the muon channel, low-purity category, for different $m_{\mathrm {WV}}$ ranges.

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Additional Figure 9:
$m_{\mathrm {WV}}$-projection of the W+jets template and reconstructed simulation in the electron channel, high-purity category, for different $m_{\text {jet}}$ ranges.

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Additional Figure 10:
$m_{\mathrm {WV}}$-projection of the W+jets template and reconstructed simulation in the muon channel, high-purity category, for different $m_{\text {jet}}$ ranges.

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Additional Figure 11:
$m_{\mathrm {WV}}$-projection of the W+jets template and reconstructed simulation in the electron channel, low-purity category, for different $m_{\text {jet}}$ ranges.

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Additional Figure 12:
$m_{\mathrm {WV}}$-projection of the W+jets template and reconstructed simulation in the muon channel, low-purity category, for different $m_{\text {jet}}$ ranges.

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Additional Figure 13:
$m_{\text {jet}}$-projection of the signal-plus-background fit result for a $\mathrm {W'} \rightarrow \mathrm {WZ}$ signal of mass 1.4 TeV and data distributions in the range 0.8 $ \leq m_{\mathrm {WV}} < $ 1 TeV in the electron channel, high-purity category. In the bottom panel, the markers show the ratio of the data to the estimated background, and the violet line the ratio of signal+background to background.

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Additional Figure 14:
$m_{\text {jet}}$-projection of the signal-plus-background fit result for a $\mathrm {W'} \rightarrow \mathrm {WZ}$ signal of mass 1.4 TeV and data distributions in the range 0.8 $ \leq m_{\mathrm {WV}} < $ 1 TeV in the muon channel, high-purity category. In the bottom panel, the markers show the ratio of the data to the estimated background, and the violet line the ratio of signal+background to background.

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Additional Figure 15:
$m_{\text {jet}}$-projection of the signal-plus-background fit result for a $\mathrm {W'} \rightarrow \mathrm {WZ}$ signal of mass 1.4 TeV and data distributions in the range 1 $ \leq m_{\mathrm {WV}} < $ 1.2 TeV in the electron channel, high-purity category. In the bottom panel, the markers show the ratio of the data to the estimated background, and the violet line the ratio of signal+background to background.

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Additional Figure 16:
$m_{\text {jet}}$-projection of the signal-plus-background fit result for a $\mathrm {W'} \rightarrow \mathrm {WZ}$ signal of mass 1.4 TeV and data distributions in the range 1 $ \leq m_{\mathrm {WV}} < $ 1.2 TeV in the muon channel, high-purity category. In the bottom panel, the markers show the ratio of the data to the estimated background, and the violet line the ratio of signal+background to background.

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Additional Figure 17:
$m_{\text {jet}}$-projection of the signal-plus-background fit result for a $\mathrm {W'} \rightarrow \mathrm {WZ}$ signal of mass 1.4 TeV and data distributions in the range 1.2 $ \leq m_{\mathrm {WV}} < $ 1.6 TeV in the electron channel, high-purity category. In the bottom panel, the markers show the ratio of the data to the estimated background, and the violet line the ratio of signal+background to background.

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Additional Figure 18:
$m_{\text {jet}}$-projection of the signal-plus-background fit result for a $\mathrm {W'} \rightarrow \mathrm {WZ}$ signal of mass 1.4 TeV and data distributions in the range 1.2 $ \leq m_{\mathrm {WV}} < $ 1.6 TeV in the muon channel, high-purity category. In the bottom panel, the markers show the ratio of the data to the estimated background, and the violet line the ratio of signal+background to background.

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Additional Figure 19:
$m_{\text {jet}}$-projection of the signal-plus-background fit result for a $\mathrm {W'} \rightarrow \mathrm {WZ}$ signal of mass 1.4 TeV and data distributions in the range 1.6 $ \leq m_{\mathrm {WV}} < $ 5 TeV in the electron channel, high-purity category. In the bottom panel, the markers show the ratio of the data to the estimated background, and the violet line the ratio of signal+background to background.

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Additional Figure 20:
$m_{\text {jet}}$-projection of the signal-plus-background fit result for a $\mathrm {W'} \rightarrow \mathrm {WZ}$ signal of mass 1.4 TeV and data distributions in the range 1.6 $ \leq m_{\mathrm {WV}} < $ 5 TeV in the muon channel, high-purity category. In the bottom panel, the markers show the ratio of the data to the estimated background, and the violet line the ratio of signal+background to background.
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Compact Muon Solenoid
LHC, CERN